Aci sp-224-2004
Aci sp-224-2004
com
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Thin Reinforced
Cement-Based Products and
Construction Systems
Editor
Ashish Dubey
American Concrete lnstitutelt
Advancing concrete knowledge
SP-224
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The Institute is not responsible for the statements or opinions expressed in its publications.
Institute publications are not able to, nor intended to, supplant individual training,
responsibility, or judgment of the user, or the supplier, of the information presented.
The papers in this volume have been reviewed under Institute publication procedures by
individuals expert in the subject areas of the papers.
Copyright © 2004
AMERICAN CONCRETE INSTITUTE
P.O. Box 9094
Farmington Hills, Michigan 48333-9094
All rights reserved, including rights of reproduction and use in any form or by any means,
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the copyright proprietors.
The Clubhouse at Abu Dhabi - The building demonstrates the use of thin cementitious
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PREFACE
The use of thin reinforced cementitious products continues to grow rapidly today in a
variety of construction applications worldwide. Thin reinforced cementitious products are
strong and tough, dimensionally stable, fire resistant, and possess excellent moisture
resistance and environmental durability. With the continued rapid decline in the use of
asbestos fibers as reinforcement in thin cementitious products, several advancements have
occurred in the field as a result of the development of new types and forms of reinforcement
for thin cementitious products. Also, several advancements have taken place in the material
science and manufacturing methods of cementitious materials for thin reinforced
cementitious products. This publication contains the papers originally presented in a
symposium on the topic of thin reinforced cementitious products organized by ACI
Committee 549 on Thin Reinforced Cementitious Products and Ferrocement during the ACI
2003 Spring Convention held in Vancouver, Canada. The symposium explored current
state-of-the-art and recent advances in material science, manufacturing methods, and
practical applications of thin reinforced cementitious products.
The topics covered in this publication include material science oftextile reinforced concrete,
use of textile reinforced concrete for integrated formwork and exterior cladding panels,
prestressed thin-sheet concrete products, ultra-high-performance thin precast concrete
products, production of concrete tubes by centrifugation method, freezing-and-thawing
durability of commercial fiber-reinforced cement boards, structural evaluation of cement-
skin sandwich building systems, microwave accelerated curing method for producing precast
cementitious products, history of glass fiber-reinforced concrete (GFRC) products, and
modeling of cement-based laminate composites. The papers presented in this publication
have been peer reviewed by experts in the field, according to the guidelines established by
the American Concrete Institute.
The future of thin reinforced cementitious products depends largely on their ability to
compete cost effectively with similar products made using other materials such as metals
and plastics. For future research and development, this entails understanding and optimizing
fiber-reinforced cementitious compositions from a fundamental material science perspective;
developing and implementing the use of cost-effective raw materials, particularly reinforcing
fibers and other forms of reinforcement; and developing efficient manufacturing methods
to produce thin reinforced cementitious products.
Ashish Dubey
Editor
Chair, ACJ Committee 549
Thin Reinforced Cementitious Products and Ferrocement
iii
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iv
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TABLE OF CONTENTS
SP-224-8: Structural Evaluation of Cement Skin Sandwich Building System ........... 101
by Y. Shao, E. Blain-Cosgrove, and B. Robinson
SP-224-9: Properties of Short Fiber Reinforced Cement Paste for Concrete Tubes
Produced by Centrifugation Method ................................... ,........................................... 113
by D. Hesselbarth and J. Kaufmann
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v
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SP-224-12: Crack Growth Resistance of Thin Mortar Layers with Hybrid Fiber
Reinforcement ................................................................................................................... 161
by L. Sorelli, N. Banthia, and G. A. Plizzari
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vi
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SP-224-01
by G. T. Gilbert
For more than 30 years, AR glass fibers have been at the forefront in the development of
new applications of such products throughout the World. Glass Fiber Reinforced
Concrete [GFRC] is a thin, cement composite based on AR glass fibers with an excellent
strength to weight ratio.
Extensive early laboratory work produced a test method for determining long term
strength. The validity of this work has been proven by the large number of buildings clad
with GFRC, as well as a vast range of other GFRC products, used over a this 30 year
period.
This paper explains the fundamental principles behind GFRC and gives examples of
some of its uses. These applications range from high quality, architectural wall panels
and decorative elements through to modular buildings down to low cost channel sections
and utility components. New developments and techniques will also be discussed.
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1
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2 Gilbert
Graham T Gilbert, CChem. MRSC is a Chartered Chemist and a Member of the Royal
Society of Chemistry. He is currently with Vetrotex Cem-FIL, a subsidiary company of
the Saint-Gobain Group, one of the World's leading suppliers ofbuilding materials.
Based in the UK, he has worked on the use of AR Glass fibers as a fibrous reinforcement
for cement based composites and concrete for more than 30 years. During this period, he
has traveled extensively encompassing all the major European countries as well as the
Middle East and North America providing techno-commercial support to both new and
existing manufacturers.
1.0 INTRODUCTION
Cement based materials have inherent defects such as flaws in the matrix due to shrinkage
and debonding at interfaces. AR glass fibers in this brittle cementitious materials help to
enhance the composite toughness and tensile strength by synergistically interacting with the
micro cracks that develop when the composite is loaded. The AR glass fibers restrain crack
opening and crack growth by effectively bridging across the micro cracks.
The most common form of glass fibers, E-glass, is used as a reinforcing material in resin
composites referred to as FRP. However, when E-glass fibers are exposed to portland
cement based mixtures, such as mortars or regular concrete, the alkaline nature of the
cementitious mixtures rapidly deteriorates the glass fiber. Because of this, AR glass
fibers were developed by intrinsically modi tying the chemical composition of the glass
fibers such that they are inherently more chemically resistant to the alkaline nature of
cementitious matrix.
The actual dose rate used will determine the final composite properties with 0.6kglcu.m.
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[llb/cu.yd] being used for plastic shrinkage cracking of regular concrete. However, thin
section 12mm [1/2''] GFR Concrete wi11 use much higher dose rates ranging from 2-5% of
total weight being the normal range. Recently, dose rates as high as 15-18% of continuous
filament have been used for newly developed filament wound poles. The exceptional high
tensile strength of AR glass fibers imparts tensile properties to the resultant composite as
well as improving its toughness and impact strength.
Because GFRC has both good tensile and compressive strength as well as being lightweight
with good fire properties and low maintenance, it has been used throughout the World in a
wide range of applications and these will be highlighted later in this paper.
In order to make glass fibers resistant to the lime generated during the setting of Portland
cement, zirconium is added to the glass mixture composition prior to melting and fiberising
the raw materials. The added zirconium becomes part of the glass fiber molecular structure
in the manufacturing process and is not just a protective coating. The minimum zirconium
content in the composition for good durability is about 16% by weight. The glass fibers with
this zirconium modification are usually referred to as alkali-resistant glass fibers or AR glass
fibers. AR glass fibers are chemically stable resisting both alkali and acid conditions.
Chemical composition of the AR glass fibers is shown in Table I and the physical and
mechanical properties in Table 2.
AR glass fibers for use in concrete are available in three basic forms - discrete chopped
strands [CSJ, continuous rovings and meshes.
2.1.1 AR Glass Fiber Discrete Chopped Strands-- are used primarily in premix glass fiber
reinforced concrete [high dose rate] and in crack control of concrete [low dose rate] where
the glass is added directly to the cement or concrete slurry. Typically, AR glass fiber CS are
available in two types, integral and water dispersible. Glass fiber CS are made up of bundles
of individual filaments with the typical diameter of these filaments being I2-20 microns.
2.I.2 Integral Chopped Strands-- are designed to stay as bundles of filaments through mixing
and placing, with as little breakdown of the bundle as possible [Fig lA). Integral strand
bundles can contain as many 400 and as 'few as 50 filaments. The number of filaments per
bundle is usually referred as strand geometry. The diameter of the individual filaments, the
number of filaments that are bundled together, and the integrity of the bundle are the key
factors that determine performance characteristics of the strand. The typical length of
discrete AR glass fiber strands used in thin-reinforced products ranges between 6 [I /4"] to 40
[I %''] mm. The strand geometry, strand length, and glass fiber content all contribute to the
processing characteristics ofthe composite and its final properties.
2.1.3 Water dispersible Chopped Strands-- are designed to disperse quickly into individual
strands on contact with water or an aqueous cementitious mixture. These fibers are used in
composites where a fine dispersion of individual mono filaments is desired rather than intact
fiber bundles. In particular, water dispersible AR glass fibers are commonly used to reduce
cracking in concrete, mortars and stucco application and in manufacturing processes that
involve cementitious slurries with initial high water content such as modified Hatschek
process or for calcium and sodium silicate applications frequently using the filter-press
processes. Typical length of water dispersible AR glass fiber strands used in thin-reinforced
cement products ranges between 6 [I /4"] to 25 [I"] mm.
2.1.4 Continuous AR Glass Fibers-- are available in the form of roving [Fig. IB]. A
roving is an assemblage of several continuous AR glass fiber monofilaments. The
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4 Gilbert
manner in which the monofilaments are assembled varies and differentiates one roving
type from another. Fundamentally, the construction of an AR fiber roving is as follows:
• Several continuous alkali-resistant glass fiber monofilaments are gathered
together to form a continuous strand. The typical diameter of the individual
alkali-resistant glass fiber mono filaments ranges between I 0 to 20 microns.
Typically, the number of monofilaments that are gathered together to form a
continuous strand ranges between 50 to 400.
• Several continuous strands as explained above are assembled together to form a
continuous roving. Typically, the number of continuous strands that are
assembled to form a continuous roving ranges between 20 to100.
2. I .6 Glass Fiber Meshes and Mats-- are woven or dipped, non-woven products from
assembled glass fiber rovings or strands whilst mats are chopped fibers bonded together
with a polymeric coating. Traditionally they were woven products of heavily coated E-
glass fiber yam used mainly in the production of cement boards (Venta et al. I995, I997,
I 998). As an alternative, an alkali-resistant (AR) glass fiber mesh can be used to reduce the
need for the coating. The AR mesh has recently been used in a new system for seismic
improvement of masonry walls.
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3.I Simultaneous Spray Process
In the simultaneous spray process, continuous AR glass fibers are chopped through a gun
and air-sprayed simultaneously with the cement slurry onto a mold surface, [Figure 2].
To spray the entire mold area, both the fiber and cement slurry spray guns are moved to
follow the contours of the mold. Successive 4-6mm [~114"] layers are sprayed and roller
compacted to form a typical 12-15 mm thick (~w·] panel. The compaction removes air,
helps bond and ensure a good quality finish.
The simultaneous spray process can be manual or automated. Spray process allows
tremendous flexibility in manufacturing complex architectural shapes as well as
producing a high strength product. Consequently, architects around the globe commonly
design and specify architectural shapes manufactured using the spray process.
3 .2 Premix Process
The premix process consists of first mixing together the other ingredients (cement,
sand, admixtures, water, etc.) in a standard or specialized mixer to give a low viscosity
mortar. The AR chopped strands are added to this mortar and cast to from a thin product of
desired shape in a mold. The casting process may be similar to concrete casting or hand
packing [lower strengths] or it may not involve spraying of fiber-cement slurry as a method
to fill the mold and/or vibration to achieve satisfactory slurry compaction in the mold. In the
premix process, the maximum amount of fibers that can be incorporated in the mixture is
dependent upon the length and diameter of the fibers used. Additives such as polymers,
pozzolans e.g. metakaolin, and/or flow aids such as water reducing agents are generally used
to facilitate the mixing operation. The premix process typically yields a three-dimensional
Filament winding process was developed for FRP composites but has recently been used
to produce GFRC poles.
Figure 3 shows a pole being wound onto a mandrel with AR glass fibers
The fiber roving strand passes over several round steel bars placed below the level of a
specially modified mortar mix before being wound onto a mandrel.
Various continuous fiber cement based composites consisting ofunidirectional lamina,
cross ply and angle ply laminates can be manufactured with a typical AR glass volume
fraction ofl3%. Mechanical properties of wound tube test specimens gave tensile
strengths higher than 300 MPa (50,000psi] and flexural strengths as high as 200 MPa [30,
OOOpsi]
The filament winding method has been refined commercially in the US for the production of
a range of poles and inductively transparent, high temperature ladles with glass fiber volume
fraction ranging from 10 to 25%. [Ref US Patents 5039345 (Mott 1991) and 5880404
(Stanley and Mott 1999).
In the filter-press process, first a wet fibrous mix is produced with an excess of water. Then
this mix is charged into a mold, which has a perforated plate at the base. A filter material is
laid on top of the mold base. The mix is then pressed by a top plate, which squeezes out the
excess water through the base of the mold and through a small gap between the top plate and
the sides of the mold. The compressed board or tile is then removed from the mold and
stacked for curing. Depending on the shape, the product can be demolded immediately
whilst in the unhardened state. It is also possible to use rapid setting cements to
accomplish instant demolding. The filter-press process is well suited for mass production
of products having simple or complex shapes.
The physical and mechanical properties of glass fiber reinforced concrete are discussed more
fully in ACI 544.1 R-96. The following summarizes these properties.
The mechanical properties of GFRC composites depend upon the fiber content,
water/cement ratio, density, sand content, fiber orientation, fiber length, and polymer content
if used. Typical properties for traditional spray up GFRC containing 5% by weight of glass
fibers are shown in Table 3 (PCI MNL-128-01). As shown in this table, GFRC composites
have significant load and strain capacity. Whilst some of these properties reduce a little with
time for standard GFRC their real time performance is well documented and all accepted
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6 Gilbert
design procedures allow for it in establishing design values. PCI publication MNL-128-01,
'Recommended Practice for Glass Fiber Reinforced Concrete Panels' details the most widely
accepted design procedure in the industry.
5.1 Cladding
Much earlier, in the late 1970's, GFRC panels were used on exterior wall of prefabricated
timber frame houses constructed to meet the shortage of dwellings in Scotland. The
panels were typically 10 mm [0.4in] thick and had an aggregate finish surface. Simple
cast-in washers for face fixing the panels were incorporated at 50mm [2in] on center.
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5.1.2 GFRC Architectural Facade Panels -these panels can be manufactured as wall and
window units, spandrel, soffit and fascia panels, mansard roof elements as well as
mullions, cornices and column covers. Figure 7 shows a photograph of the Cervantes
Convention Center situated in St. Louis, Missouri in which 1670 m2 [:::::18000ft2 ] of the
building exterior was clad with GFRC architectural faryade panels. The panel size varied
but the average was approx. 2.4 m x 6.0 m. [:::::8 x 20ft] The panel skin consisted of 12.5
mm [l/2in] thick GFRC plus a 6 mm [1/4in] thick facing mix attached to a structural
steel frame, which in tum was attached to the building. In several panels, two finishes
were combined on the same panel. Brick red finish on the panels was achieved with the
use of white cements, sands and pigments. The intricate architectural details on these
panels were created by forming the panels over rubber liner molds. Some panels also had
limestone finish. This was achieved with the use crushed stone, pigment and
sandblasting. When using facing mixes, care is required to reduce incompatibility from
thermal and moisture movement.
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5.1.3 GFRC Decorative Elements- GFRC is capable of closely imitating natural
materials, which tend to be expensive and in short supply. Thin complex shapes with
excellent surface finish and surface details can be easily formed using AR glass fiber
reinforced cementitious materials. Molds to form these shapes are frequently taken from
deteriorated original carvings. GFRC architectural elements are relatively light in weight
and require low maintenance. These attributes make GFRC architectural elements a
sensible choice for both new and refurbished buildings. Figure I Oa & b and Fig. II show
some applications.
Throughout the world, new highways and mass transit rail systems compete for space in
already developed urban areas. The result is that major traffic routes are found closer to
commercial and residential areas and it becomes necessary to suppress noise pollution to
the surroundings. GFRC noise barriers are being increasingly used since they are light
in weight and offer simplicity and speed of erection without requiring the use of heavy
lifting machinery. This gives reduced disruption to traffic and greatly reduced loads on
any elevated structures allowing for the same material to be used throughout. The
moldability of GFRC allows for aesthetically pleasing designs which are more attractive
and acceptable to both residents and travelers as well as to bridge engineers and
8 Gilbert
architects alike. In addition, GFRC has excellent resistance to salt attack, freeze-thaw
and rotting thus reducing maintenance.
Figure 12 shows a GFRC reflective sound wall in Spain and Fig 13 a different design,
absorbing, in South East Asia.
5.3.1 Drainage Channels- GFRC has been used for drainage and transporting liquids
represent another application for GFRC. Fig 14 shows a commercially available high
volume, rain-water drainage channel used in parking lots, road and highway applications.
These channels are designed for optimum flow capacity and are available in different
cross-sectional sizes with lengths ranging up to 2 meters (6.6 feet). Further, these
channels are lightweight, easy to install in long sections with reduced excavation,
maintenance free, and require fewer silt traps or manholes due to their superior hydraulic
performance. The channels are produced by vibration casting an AR fibers mix into a
two-part mold.
5.4.2 Cable and Pipe Ducts and Conduits in GFRC are used in Europe, Japan and the
USA. Figure 15 shows GFRC pipe trench liner in USA.
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5.5 Tunnel and sewer Linings
5.5.1 Tunnel Liners --GFRC has been widely used for tunnel lining applications and
Figure 16 & 17 shows Heathrow Express railway station at Heathrow Airport, London,
UK. The panels used in this application are nominally 12 to 18 mm ('h" to%") thick and
are made from a cementitious mixture reinforced with alkali-resistant glass. Lining
within the stations consisted of 9000 acid-etched and sand-blasted panels of size 1.8 m
(5.9') wide, 0.90 m (2.95') wide and 0.70 m (2.3') deep. A 50 mm (2") deep recess in
each panel allowed enamelled glass advertising panels to be secured within.
5.5.2 Sewer Linings- -Figure 18. shows a photograph of thin reinforced cementitious
sewer lining application. GFRC sections are very versatile and cost effective, and
thereby offer several significant advantages over FRP in sewer applications. They are
stiffer and bond well with the grout lining, essentially becoming part of the sewer
structure. Consequently, they are more resistant to the damaging influences of water
pressure or ground movement.
5.5.3 Canal Bank Protection Linings in GFRC is demonstrated in Figure 19. Such linings
are used to prevent erosion of the canal banks caused by different sources such as
hydraulic discharge and incidental contact with passing boats. The panels are typically 6
to 9 mm thick, with ribs on rear face for strength and stiffness. The typical size of the
panels is about 2m x 1.36 m (6.5' x 4.5').
Filament wound GFRC poles have recently been developed in North America. Figure 20
shows a pole manufactured using continuous alkali-resistant glass fibers. These poles
can have a fiber volume fraction as high as 25%. In terms of their mechanical behavior,
these products are exceptionally strong in tension (notched tensile strength of about 90
MPa), compression (compressive strength of about 175 MPa) and flexure (bending
strengths of about 150 MPa). Using the filament winding process, the pole products can
be easily manufactured in lengths of up to 15 meters (50 feet). Potential applications of
the pole products include induction and wireless transmission-invisible poles and
pem1anent formwork for seismic and marine columns.
Fig. 21 shows GFRC panels used on the BTS Skytrain, Thailand's first mass transit
system. The project extended about 23 km (14 miles) through the heart of the Bangkok
and was entirely elevated. The parapets shown in this figure are typically 1.1 m high x
2.7 m [3' 6" x 8' 9"] long, and nominally 15 mm [2/3"] thick with ribbed top and bottom
using expanded polystyrene void-formers. The ribbing provides the panels with
additional strength and rigidity to resist the high wind loads caused by the passing trains.
The parapet panels shown in this figure are reinforced with discrete, alkali-resistant glass
fibers.
Glass fiber reinforced concrete is used widely for simulated rock installations in zoos,
hotel and office lobbies, swimming pools, climbing walls, golf courses, and theme parks.
Thin cementitious panels are usually factory prefabricated using the spray up process or
sprayed premix. The molds are usually made of rubber that has been cast off an actual
rock face. The cast panels are then assembled on the job site. The panels can be
integrally colored or can be colored on the job site using acrylic stains.
6.0SUMMARY
Glass fiber reinforced concrete, GFRC is a thin form of concrete with the high tensile
strength of the AR glass fibers complimenting the high compressive strength of the
cementitous matrix. The resulting composite, usually only 12-25mm [lh -1 "] thick, offers
a unique balance of properties such as strength, toughness, dimensional stability,
environmental durability, moisture resistance, freeze thaw resistance, fire resistance,
esthetics, and ease of handling and installation.
Because of this blend of attractive properties, GFRC has found a wide range of uses in more
than 40 countries spanning a period of more than 30 years.
The fibers are easy to incorporate using a variety of production methods to suit the end need.
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10 Gilbert
Applications range from the highly visible large architectural panels on low and high rise
buildings to decorative elements to more mundane uses such as ducts and channels and
tunnel linings.
Note:
'These are typical values and are not to be used for design or control purposes. Each
manufacturer must test production composites to establish properties for design. The
values achieved in practice will be dependent on mix design, quality control of
materials, fabrication process and curing. Cement/sand ratio in the above composites
ranges between I : I to 3: I.
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12 Gilbert
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14 Gilbert
Fig 6 Timber Frame Houses with Single Skin GFRC Panels. Built 1976, Scotland
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Fig 9 155 000 GFRC panels on San Francisco Towers, California, USA
16 Gilbert
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Fig II Terra Cotta Replacement on Shepard Hall, New York 72000 units with more than
4000 shapes inc. sculptures
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18 Gilbert
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20 Gilbert
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SP-224-02
Synopsis: Thin sheet concrete products are receiving increased attention because of the
large number of potential applications. By using crushed glass as aggregate, a multitude
of different esthetic effects can be produced, which again open up numerous architectural
and decorative uses. Such thin sheets are most effectively reinforced with fiber mesh,
whether made of polypropylene, AR-glass, or other types of materials.
This paper discusses the elimination process by which the most appropriate type of fiber
mesh was selected. Various technical problems of prestressing and anchoring the fiber
mesh are pointed out, as well as other issues that need to be resolved, before such
products can be mass-produced commercially.
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INTRODUCTION
Thin-sheet concrete products have attracted the attention of researchers and concrete
producers alike in recent years because of their numerous potential applications. In
conventional steel reinforced concrete elements, the cover needed to protect the steel
against corrosion calls for a minimum sheet thickness of at least 5 to 7 em. The tendency
of the ribs of standard reinforcing bars to spall off thin concrete covers may require a
further increase of the minimum plate thickness. For non-metallic reinforcement no
corrosion protection is needed, and thicknesses of a few mm are theoretically possible.
Woven fabrics or fiber mesh, also referred to as textile reinforcement, have proven to be
a viable form of such reinforcement.· The rovings are curved at points of intersection,
caused by the weaving process. It has been observed by other researchers that woven
fabrics, when stressed as ordinary reinforcement, need to be straightened before they
contribute in the load carrying process (Curbach 1999). This delay inhibits distributed
cracking to some extent, but if the fabrics are stretched slightly before being built in, such
curvature effects become negligible. Prestressing the embedded reinforcement, whether
provided in the form of single rovings or continuous fiber mesh, further improves the
mechanical properties of structural members and enhances their durability because of the
absence of cracks (Kriiger 2004, Vilkner 2003).
The substitution of crushed glass for natural aggregate opens up additional options,
primarily in the field of architectural concrete, because of the esthetic potential of colored
glass. An important prerequisite is an effective measure to counter the potentially
damaging effects of alkali-silica reaction (ASR). At Columbia University, a major
research project has been under way for a number of years to utilize waste glass as
aggregate in concrete products, and the work reported in this paper is a part of this
ongoing larger effort. Some of the commercially available fiber mesh materials shall be
described and compared and the various properties of prestressed thin sheets discussed.
This paper describes work in progress, pointing out some of the issues of mechanical
behavior involved and technical problems that need to be overcome, before such thin
sheets can be mass-produced commercially.
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concrete products, it is necessary to evaluate each potential candidate using the various
performance specifications for the different applications. Foremost among such
requirements is the chemical stability of the material in the alkaline environment of the
cement paste. For prestressed concrete to achieve its traditional advantages, the
reinforcing material has to be of high strength and show little stress relaxation at the
intended prestress level. Related to this requirement is that of a reasonably high static
fatigue strength. The melting point needs to be high enough as to cause no significant
creep effects at elevated service temperatures, which would lead to an unacceptable
lowering of the effective prestress. Good bond properties are required, in particular in the
end zones, where otherwise separate anchorage mechanisms would be needed. Ideally,
the material should also possess good ductility and have a large energy absorption
capacity to assure gradual flexural failure modes.
Alkali-resistant glass, although popular as short fiber reinforcement, has recently been
shown to have a rather low static fatigue limit (Reinhardt 2002) and therefore is not likely
to be suitable for applications in which the mesh is to be prestressed. Aramid and carbon
fibers have reasonably high static fatigue limits, relative to their ultimate strengths.
However, accounting for their low ductility requires comparably large safety factors
against failure, such as for instance when glass is employed in structural applications.
Especially in the case of carbon, its very high stiffness leads to very low strain levels, far
below those common in conventional prestressed concrete applications. The costs of
aramid and carbon fiber mesh are relatively high for typical thin-sheet applications,
compared with some of the other available materials. However, manufacturers are
steadily improving their production technologies. The expected price reductions will
make new applications feasible, and the resulting increase in demand for these materials
is likely to prompt further cost reductions due to the economy of scale. For these reasons,
they are currently being considered for further study. The emphasis in this study was on
aramid fiber mesh.
ARAMID
Aramids are a family of nylons, including high-strength fibers that are known under trade
names like Kevlar and Nomex. Aramid is a short form for aromatic polyamides. Fig. I
illustrates how amid groups connect phenyl rings to form monomers that build polymers.
The aromatic rings differentiate them from non-aromatic polyamides that form fibers like
Nylon 6,6. In the case of Nylon 6,6, the amid group is found in both illustrated forms, the
cis- and trans-configuration. Single polymer chains can only form in a perfectly straight
fashion in the trans-configuration. If the amid group forms in the cis-configuration it
causes the path of the polymer to change. In aramids, the trans-configuration is formed
almost exclusively, which allows for perfectly stretched polymer chains. A valid and
often used analogy is comparing cooked (cis-) with uncooked (trans-) spaghetti. The
small but important difference between para- and meta-amids, i.e. Kevlar and Nomex, is
that in the first case, amid groups are attached to phenyl rings at carbon atoms directly
across from each other, i.e. at positions I and 4, Fig. I. In the second case, amid groups
connect to phenyl rings at the I and 3 positions, which causes the polymer path to bend
slightly. Both aramid forms are very resistant to high temperatures and chemical attack.
The fact that para-aramids stretch out more perfectly allows them to form fibers in which
the polymer chains are packed more closely, which is the reason for their higher strength.
A more detailed description of the fiber production and the deformation mechanisms is
given in (Meyer and Vilkner 2003). DuPont developed the most popular of these fibers
1
In the fiber industry, it is common to specify fibers in units of tex or denier, which
indicate the weight in gram of a I 000 m or 9000 m long single fiber, respectively, i.e. 9
denier= I tex. --``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
PRACTICAL CONSIDERATIONS
The selected epoxy endblock system proved to be suitable for investigative purposes, but
could not sustain an effective prestress of 14 MPa (2 ksi). The 34 rovings were
distributed in 2 layers. Selecting 50% of the failure load of 3.5kN (800 lbs) as
prestressing force on a 75 mm x 12 mm (3 in x 112 in) cross section, the corresponding
prestress was only 1.8 MPa (250 psi). The next step taken was the development of a 7
mm x 25 mm (1/4 in x 1 in) endblock containing 7 layers of fabric, totaling 35 rovings
(Meyer and Vi Ikner 2003). Ultimately, larger rovings had to be considered.
Structural engineers familiar with prestressed concrete are used to deal with high-strength
steels that undergo considerable plastic deformation before failure. Also, stress averaging
is a common concept in structural engineering and justifies the neglect of many forms of
stress concentrations for design purposes. But such stress averaging is possible only in
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
conjunction with ductile materials. As pointed out previously, the brittle nature of high-
strength non-metallic fiber material such as aramid or carbon prevents the utilization of a
large fraction of this strength.
A separate set of problems is posed by the smooth surfaces of aramid fibers and the
resulting low bond strength. This complicates both the stressing operation and the means
of permanent anchorage. In standard prestressed concrete applications, these problems
have been solved by a variety of commercial systems. But it took years to perfect those
systems. It can be assumed that concentrated efforts will likewise result in practical
schemes for high-performance fiber applications.
ACKNOWLEDGMENTS
The authors wish to express their gratitude towards Hexcei-Schwebel for supplying the
fabrics used in this study. Waste glass was kindly provided by Strategic Materials. The
reported progress would not have been possible without the active engagements of Dr. S.
Shimanovich and Dr. S. Kozlova.
REFERENCES
Balaguru P.N., Shah S.P. (I 992). Fiber Reinforced Cement Composites, McGraw-Hill.
Bentur A., Peled A. and Yankelevsky D. ( 1997). "Enhanced Bonding of Low Modulus
Polymer Fibers-Cement Matrix by Means of Crimped Geometry", Cement and Concrete
Research 2 7, 1099-1111.
Berkeley Lab, Operated by the University of California for the U.S. Department of
Energy, http://www.lbl.gov/MicroWorlds/Kevlar/KevlarClue3.html.
Broadway, A. (2002). Hexcel Schwebel. Personal Communication.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
28 Vilkner and Meyer
Curbach M. and Zastrau B. ( 1999). ''Textilbewehrter Beton - Aspekte a us Theorie und
Praxis", in Baustatik Baupraxis, Meskouris K., Balkema A.A., Rotterdam, xl-xiO (in
German).
Daniel J.I. and Shah S.P ., eds. (1990). Thin-Section Fiber Reinforced Concrete and
Ferrocement, ACI SP-124.
Gardiner T. and Currie B. (1983). "Flexural Behavior of Composite Cement Sheets Using
Woven Polypropylene Mesh Fabric", Int. Journal of Cement Composites and Lightweight
Concrete 5, 193-197.
Kasperkiewicz, J. and Reinhardt H.W. (1992). "Aramid Fabric as a Reinforcement for
Concrete", in Fiber-Reinforced Plastic Reinforcement for Concrete Structures, A. Nanni
A. and C.W. Dolan, eds., ACI SP-138, 149-162.
Kri.iger M. (2004). "Vorgespannte Dunne Platten aus Textilbeton", Ph.D. Thesis,
University of Stuttgart (in German).
MatWeb, The Online Materials Information Resource, http://www.matweb.com
Meyer C. and Vilkner G. (2003). "Glass Concrete Thin Sheets Prestressed with Aramid
Fiber Mesh", in High Performance Fiber Reinforced Cement Composites 4, A.E.
Naaman and H.W. Reinhardt, eds., E&FN Spon, London.
Mindess S., Bathia N. and Yan C. (1987). "The Fracture Toughness of Concrete under
Impact Loading", Cement and Concrete Research 17, 231-241.
Naaman, A.E. (2000). Ferrocement & Laminated Cementitious Composites, Techno
Press 3000, Michigan.
Peled A., Bentur A. and Yankelevsky D. (1998). "Effects of Woven Fabric Geometry on
the Bonding Performance of Cemehtitious Composites", Advanced Cement Based
Materials 7, 20-27.
Peled A., Shah S.P. and Banthia N., eds (2000). High Performance Fiber Reinforced
Concrete Thin Sheet Products, ACI SP-190.
Ramakrishnan, V., Meyer, C., Naaman, A.E., Zhao, G. and Fang, L. (1995). "Cyclic
Behavior, Fatigue Strength, Endurance Limit and Models for Fatigue Behavior of FRC",
in High Performance Fiber Reinforced Cement Composites 2, A.E. Naaman and H.W.
Reinhardt, eds., E&FN Spon, London.
Reinhardt, H.W. (2002). Concrete Material Science to Application, N. Banthia et al, eds.,
ACI SP-205.
Sabir, B. B., Wild, S., and Bai, J. (2001 ). "Metakaolin and Calcined Clays as Pozzolans
for Concrete: A Review", Cement and Concrete Research 23, 441-454.
Vilkner G. (2003). "Glass Concrete Thin Sheets Reinforced with Prestressed Aramid
Fabrics", Ph.D. Thesis, Columbia University, New York.
Amid
(trans- and cis- configuration)
:-Jylon 6.6
(a non-aromatic polyamid)
]250
ol
750; .
!:!.. 2
' I
•
~200
~150
! 1.5
.!
'iii
100 c:
~ 0.5 ----,--T--r--,---,--~
50 I
' '
0 '
00 0
0.08 0 2 3 4
STRAIN Strain(%)
-3.5 3.5
z z~
~3.0 3.0 - _I
I
-g 2.5
0
..J 2.0
..
"CJ
0
..J
2.5
2.0
Cl
:; 1.5 .! 1.5
c 'iii
~ 1.0 c 1.0
0.5 ~
0.5
0.0 +--~-----.----r---"'"-,
0.0
0 5 10 15 20 25 0 1 2 3
Experiment Time (min) Strain(%)
~
~
!. 8
=(55)
i.
~
~
~ 4
.3 (28)
0~----~------~----~------~----~
0.00 0.10 0.20 0.30 0.40 0.50
Strain(%)
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
SP-224-03
~ Even though the knowledge about the load bearing behavior of Textile
Reinforced Concrete (TRC) is still limited, there are already applications ofTRC such as
cladding panels and integrated framework systems. Up to the present, the design and
dimensioning ofTRC members is mainly based on extensive test series targeted to the
particular application. Certainly, this approach is very goal-oriented. However, because
design rules are not supported by mechanical models, high safety factors are
incorporated. Within the scope of the collaborative research center "TRC: foundations for
the development of a new technology" (SFB 532) at the Technical University of Aachen,
Germany, the missing consistent description ofthe load bearing behavior ofTRC is being
developed. Thereby, experiments and numerical simulations at different levels, i.e., micro-,
meso- and macro-levels, are performed.ln this paper, the main results of the research
program are presented.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
33
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No reproduction or networking permitted without license from IHS Not for Resale, 01/26/2015 02:27:05 MST
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34 Hegger et al.
AUTHOR'S BIOGRAPHIES
ACI member Alaa Sherif is Assistant Professor in the Civil Engineering Department,
Helwan University, Cairo, Egypt. He obtained his Ph.D. from the University of Calgary,
Canada in 1996. He is an Associate Member of ACI Committee 352 Joints and
Connections in Monolithic Connections. His main research interests include the behavior
and serviceability of reinforced concrete structures.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Oliver Bruckermann is research assistant at the Institute for Structural Concrete at the
RWTH Aachen, Germany. He obtained his Diploma Degree in the field of structural
engineering from the RWTH Aachen in 1999.
Martin Konrad is research assistant at the Chair of Structural Statics and Dynamics at
the RWTH Aachen, Germany. He obtained his Diploma Degree in the field of structural
statics from the RWTH Aachen in 2002.
RESEARCH SIGNIFICANCE
The material models currently being developed and presented in this paper will lead
to a better understanding of the failure mechanisms of TRC-structures. Based on these
models, design rules and safety concepts can be set up in the future. Not until then TRC
will become a versatile and cost-effective building material.
INTRODUCTION
Current investigations show that the failure process of TRC, which is observed at the
macro level, cannot accurately be predicted based on the simple models known from
ordinary steel reinforced concrete. This is primarily due to the inhomogeneous internal
structure of the fiber strands (rovings) consisting of hundreds of separate filaments
(Fig. I). Furthermore, non-uniform bond conditions in the longitudinal direction and
Therefore, within the SFB 532 the investigations are being conducted at different
levels. As shown in Table 1, these are the micro-, meso- and macro-levels. At each level,
the material components have to be defined and modeled by an appropriate Finite
Element model. Corresponding experiments provide the necessary data for calibrating the
numerical models and obtaining the required mechanical properties of the components.
The models at each level may conceptually either be coupled to an adaptive multi-level
computation. Or as an alternative, the "smeared" material parameters used at one level
are predefined at the previous smaller level. In the following, the main results for each
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
MICRO-LEVEL
The interaction between filament and matrix has been studied using pullout tests of
single filaments (Fig. 2(a)) and the finite element model shown in Fig. 2(b). The resulting
bond-slip relation (Fig. 3) is in agreement with the one obtained analytically by
Banholzer [4, 5] based on the shear lag theory. The bond-slip curve can be divided into
three parts. The first part is determined by elastic adhesional bond. Here, the bond layer is
capable of taking up stresses of up to 4.8 N/mm 2 at a very small slip of 0.01 mm. If the
value of the slip exceeds 0.0 I mm, the adhesional bond is lost and only friction bond
remains which is about four times smaller than the adhesional bond. In the second part
(slip from 0.01 to 0.16 mm) the friction bond degrades due to "smoothing" of the
interface between filament and matrix. In the third part the friction bond reaches a
minimum and remains constant. This behavior is very different from steel reinforcement,
because the maximum bond-stress can only be activated at a certain value of slip, i.e.,
there is no ductility. Therefore, the maximum force picked up by the filament, cannot be
calculated just by the maximum bond stress times the available anchorage length.
36 Hegger et al.
MESO-LEVEL
The meso-level investigations aim at describing the behavior of the rovings within
the composite material. Pullout tests, of which several types exist, are the main tools to
study the characteristics of the bond between roving and matrix (Fig. 4). In contrast to
steel reinforcement, the load-displacement curve does not feature a plastic plateau.
Rupture of filaments or debonding over the entire embedment length lead to a rather
quick decrease of the pullout force after the peak-load.
In order to simulate pullout tests the so-called bond layer model shown in Fig. 5 has
been developed. This model considers a section of the roving idealized as layers and
takes into account the deterioration of the bond with increasing distance between filament
and matrix. The bond quality for each layer is defined by a function of the distance from
the matrix. Any changes of these proportions in the longitudinal direction are neglected.
In the Finite Element simulation each bond layer is represented by a one-dimensional
element and is connected to the matrix by a zero-thickness interface element.
The parameters to be calibrated for the bond layer model are the bond quality
distribution function and the effective tension strength of the filaments. In Fig. 6(a) the
influence of a linear, a quadratic and a cubic bond quality distribution on the load-
displacement curve of a roving pullout test is shown. Figure 6(b) indicates the calculated
actual fraction of unbroken filaments. In the pullout experiment, this information was
obtained by optical recording of the light transmission through the unbroken filaments
[6). Both, the linear and the quadratic approaches cannot accurately reproduce the smooth
peak region of the measured curves. The cubic distribution leads to a more ductile curve
and resembles the experimental data.
While the bond quality distribution function determines the post peak gradient, the
maximum pullout force depends mainly on the tensile strength of the filaments.
Preliminary calculations showed that the initial slope of the pullout curve is always
overestimated by the model. Only a decrease in the maximum bond performance can
reduce the initial stiffness, however this leads to a simultaneous decrease of the portion of
filament fracture, because more filaments are pulled out completely. Therefore, the
variation range of this parameter is limited, and the initial stiffness in the experiments
cannot be reproduced by solely reducing the bond quality. As a consequence, this
reduction can be explained by the existence of an internal free length between the
macroscopic boundary of the matrix and the first contact of the filaments with the matrix
inside the specimen, i.e., the start of the micro-bonding between filament and matrix,
which is illustrated in Fig. 7. Using a cubic bond quality distribution function, a tensile
strength of 1350 MPa and a maximum internal free length of 6 mm in the center of the
roving, the simulation results in the pullout curve shown in Fig. 8.
MACRO-LEVEL
The tension tests on composite specimens reinforced with rovings and its simulation
play an important role in the theoretical models. Based on the results of the pullout test
described above (meso-level), the target is to explain the macro-response, i.e., the load
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
The interpretation of the experimental data raises the following question: Why is
there a substantial increase in the stress while cracking occurs? Normally, one would
expect, similar to steel reinforced concrete, that cracking happens at a stress plateau,
which is only determined by the tensile strength of the matrix.
• Concrete material law with mesh adjusted softening modulus (7]. The tension
strength varies randomly (average = 5.0 N/mm 2 , standard deviation = 0.25
N/mm 2 ).
• Material law for the reinforcement, whereby the stiffness and the maximum load
( 12 x 430 N = 5160 N) are taken from the linearly approximated pullout curve.
The result obtained is displayed in Fig. 14 (res_wo_core). Because the maximum load
that can be picked up by the reinforcement is higher than the crack load, all 35 cracks
open up. Finally, one of the cracks localizes and the reinforcement fails. The strain at
failure of 6 %o matches the experiment. However, the model is not capable of predicting
the linear load increase with increasing number of cracks.
38 Hegger et al.
•At the crack edge the core filaments do not have direct contact to the matrix.
Therefore, their anchorage length is much longer than of those (sleeve-)
filaments taking up the pullout force.
The bond force of the core is transmitted to the matrix not so much through friction bond
between adjacent filaments as through matrix which has penetrated the roving at several
points. These considerations lead to the modified Finite Element model shown in
Fig. 12 (b). Of course, the introduction of a core, which is activated through bond
elements, actually introduces several new unknown parameters, such as cross-section,
stiffness and tension strength of the core. In addition, the friction law applied has to be
defined. A curve-fitting ofthe experimental data leads to a portion of35% core filaments
related to the whole roving cross-section and a tension strength of 600 N/mm 2 • The
increase of bond flow is 65 N/mm per 1 mm of slip. The load strain curve now matches
the experimental curve much better (see res_w_core in Fig. 14).
It must be kept in mind that the so far obtained material laws may not be the only
solution leading to these results. Further investigations on tension-tests with different
lengths and different degrees of reinforcement must provide additional data for
calibrating the model.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
SUMMARY
The explanation of the load bearing behavior of TRC is a task that only can be
handled if different resolution levels in the experiments as well as in the simulation are
considered. In this research the behavior of TRC is investigated at three different levels:
micro-, meso- and macro-level. It is shown how results obtained at one level can be used
at the next higher level in order to reduce the number of unknown parameters. A finite
element model is presented, and first results show its capability to simulate the
experimental results. However, systematic experimental research has to provide further
information in order to verifY and optimize the models at each level. In addition,
simulation techniques have to be developed at the macro-level taking into account the
influences of the textile production process and the specific geometry of textiles. The
demonstrated simulation of roving tension tests is only an intermediate step towards this
final goal.
ACKNOWLEDGEMENTS
The authors thank the German research foundation (DFG) in context of the Collaborative
Research Center 532 for their financial support.
REFERENCES
4. Banholzer, 8.; Brameshuber, W., "Eine Methode zur Beschreibung des Verbundes
zwischen Faser und zementgebundener M~trix", Beton- und Stahlbetonbau, No. 96, pp.
663-669,2001 (in german).
5. Cox, H.-L., "The elasticity and strength of paper and other fibrous materials", British
Journal of Applied Science, Vol3, pp.72-79, 1952.
7. Jirazek, M., Bazant, Z., "Inelastic Analysis of Structures", John Wiley & Sons, 2002.
CONVERSION FACTORS
I in. = 25.4 mm
I ft = 0.3048 m
I kip = 4.448 kN
I lex =lg/km
40 Hegger et al.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Fig. 1- X-section of a roving embedded in fine concrete
-
<'[NJ
A (mm) ~--"'1---...-....,;;........--~
X ~
.,.._,..,...,......._,....F,;\
\ filament
y'
splice< t\,01 rnm Filament elements
-
'
E 5 '
--4,8 '
2:. '
'
tl) 4 '
.. LIII
,-
tl)
~
G)
3 [!1/1
II /I III
t l)
c I '
'
0 2 '
.Q '
'
0,5 '
'
'
'
0
0,1 0,2 0,3 0, 4
0 I_
0,01
I
0,16 slip [mm]
Fig. 3 - Bondstress-slip diagram for a single filament embedded in fine concrete
F[N}
~~~~~------~--~
u{mm}
---+
decreasing
. bond quality
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
o: o.• o.e •.o •
distance flom yam perimeter
roo _,oo
t.
j 8D
50
i
"& 20
40
42 Hegger et al.
Fig. 7 - Internal free length between matrix boundary and begin of microbonding
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
..... 600 .
~
e 500
.e
400'
300
200.
100
0
0 0,2 0,4 o,a o.a
displacement (niml
Fig.8 - Roving pullout test, experiment vs. simulation
rovings
[mm]
!width= 100 mmj
Fig. 9 - Geometry of tensile tests
-
-
.......
6,0
..A...N"'\,. v-w
.---- ~ -.......
5,0
4,0 r
3,0 7
2,0
1,0
0,0
0,0 1,0 2,0 3,0 4,0 5,0 6,0 7,0
strain l'J'e)
Fig. 10- Load-strain curve of a tension specimen reinforced with 12 rovings
·-
nonlinear [pl~stiC) bond elements
F
~ ijilj f'·*:;j:11[6'l~i;[~i;li!': [l!f:::j;;jct~i·I:;J;1{-+
~ ! /
~;.-'
cae elemen!S
a! FE- modd with huilt·in cracks fhJ FE-mndel Wilh core added
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
44 Hegger et al.
~500
u.
B400+-~~--r-~----r-------~----~
5
u.300~~~~~------~--------~----~
z~8r----------------------------------------,
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
~
;7+---------~----------------------~~~~~~
~
-6r---------~~~~~~----~~~~
3 -res_wo_oore
-res_w_core
2
[ . -experiment
0+---------------------------------~----~
0 2 4 6
strain [%o]
Fig. 14 - Tensile test, experiment vs. simulation
SP-224-04
S)'D~ This paper presents use of textile reinforced concrete (TRC) for producing
integrated formwork element for use in construction. The TRC integrated formwork
elements are significantly lighter compared to the normal precast elements owing to their
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
relatively smaller wall thickness, typically around I 0 mm. The cross-section ofthe TRC
integrated formwork element can be chosen as dictated by the specific application and the
composite can be designed to have a high load-bearing capacity. The fresh concrete is
protected against moisture loss by the integrated formwork elements that remain in place
in actual construction. Hence, neither demolding of the TRC integrated formwork nor
curing of the poured concrete is required. The TRC integrated formwork elements also
possess the advantage of having a surface appearance of high quality. This contribution
presents a compilation of the results from the testing performed on the TRC integrated
fonnwork elements.
45
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46 Brameshuber et al.
Wolfgang Brameshuber is Chair of the Building Materials Science/Structural Materials at
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Josef Hegger is Professor at the Civil Engineering Department, RWTH Aachen Univer-
sity, Germany. He obtained his Ph.D. in 1985 from TU Braunschweig. He was employed
by the Gennan civil contractor Phillip Holzmann, 1985-1993. His main research interests
include shear, high-strength concrete, and textile reinforced concrete. Conveyer of the fib
task group TG 4.2 Ultimate Limit State Models.
Thomas Gries is Professor at the Institute for Textile Technology, Aachen. He obtained
his doctoral degree in 1995. He was employed with Lurgi Zimmer AG, Frankfurt a.M.,
1995-2000 and has served as the Head of the Department of Technologies for Fibres and
Textiles. He is Chair and Head of the Institute for Textile Technology, Aachen since
April 2001.
Marijan Barle is Research Associate at the Institute of Textile Technology, Aachen Uni-
versity. He obtained his diploma degree in the field of structural engineering from RWTH
Aachen University in 2000.
Markus Kruger is currently working on his PhD project "Prestressed Textile Reinforced
Concrete" at the Institute of Construction Materials, University of Stuttgart. He gradu-
ated from the University of Dortmund in civil engineering in March 1998. He has been
engaged in teaching and educating students in concrete technology and in the develop-
ment and application of non-destructive test methods in civil engineering.
As a first step in this investigation, textile reinforced concrete integrated formwork ele-
ments were developed to understand the load-deformation behavior of the concrete ma-
trix and reinforcing textiles chosen as material variables. Some results from the investi-
gation are given in References 1 and 2. A design model has been developed to calculate
the load-carrying capacity of the formwork having U-shaped cross-section. In Fig. I, the
predictions from the design model are compared to experimental values. The calculated
values agree well with the experimental data except for the combination of concrete
83/textile WI. For this combination, no bending failure was observed. The failure mode
in this case was dictated by the break down of the connection between the flanges and the
plate of the U-shaped structure. Therefore, the calculation based on bending failure re-
sults in higher values compared to the experimental ones.
Based on these results, a new geometry of textile reinforced concrete integrated form-
work has been developed. The new integrated formwork and the corresponding testing
results are described in this contribution.
MATERIALS
The concrete mixture composition used in this investigation is described elsewhere in
Reference 2. The cementitious matrix used for producing the integrated formwork has a
high llowability due to presence oflarge volume and dense network of the reinforcement.
The cementitious matrix used in this investigation has a relatively high Youngs modulus
of up to 35000 N/mm 2, and the modulus ofrupture of about 5 N/mm 2•
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Examples of the textiles used as reinforcement in the integrated formwork are given in
Fig. 2. In this case, the so-called friction spun hybrid yams have been woven to obtain a
2-dimensional textile structures. The yarns consist of alkali-resistant glass for the core
material and polypropylene for the sheet material. In view of the composite mechanical
behavior, most influential are the thickness and the number of yams in the core of there-
inforcement. Melting the polypropylene after producing the textiles gives a good inner
bond between the yarns and a relatively high tensile strength of the textile.
48 Brameshuber et al.
Tensile Tests
The mechanical behavior of the textile-concrete composite was verified using the uniax-
ial tensile test. Test set-up and geometry of the specimen are shown in Fig. 3. Examples
of the load-strain-curves obtained in the testing are shown in Fig. 4. In this figure, the ef-
fectiveness of textile with friction spun hybrid yarns (FSHY) over normal textile is evi-
dent. It can also be observed that increasing the glass content in this type of yam (FSHY)
leads to a higher composite stiffness and a slightly higher load to failure.
DESIGN OF CROSS-SECTION
The first generation of U-shaped integrated formworks had a span width of 1.5 m. For
practicable application, it is more suitable to have longer elements with supports in be-
tween. The new elements therefore should be able to carry positive as well as negative
moments. Therefore, a cross-section has been developed as shown in the figure appearing
in Table 1. Using the design model developed, a pre-calculation had been conducted to
estimate the required element cross-section. The results for dependence of the span width
as well as the content of textile reinforcement on the element cross-section are shown in
Table 1. Note that one layer of reinforcement represents about 245 mm 2 per meter width
of the reinforcement.
Based on practical considerations, the integrated formwork with a triple span width of
3x 1.5m has been chosen for testing. By making some modifications in the textile, it was
possible to reduce the inner lever-arm of the element from 60 mm to 50 mm when using
two layers of textiles. It should be noted that use of three layers of textiles is not suitable
in practice due to the danger of entrapping large voids in the concrete during casting. The
chosen cross-section has the advantage of carrying high bending moments in two direc-
tions. Additionally, there is a good physical bond to the site concrete due to the presence
of flanges having a slight negative slope. The required rheology performance of the con-
crete is very demanding due to the complex geometry of the element. Fig. 5 shows a
photograph of the new integrated formwork. It can be observed that the textile is ar-
ranged very precisely in the middle of the walls and no defects occur on the concrete sur-
face.
TEST RESULTS
Fig. 6 shows an example flexure load-deflection curve obtained from the testing. This
data shows that the maximum load and the stiffness after cracking for the tested compos-
ite were somewhat less but comparable to the old formwork element (2) with bigger
cross-section. It should be noted that the old element was 120 mm high compared to the
new element with a height of60 mm only.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
using an appropriate device. This measurement provides the opportunity to calculate the
strain on the tension side of the specimen and the strain in the textile as a mean value af-
ter making some geometrical corrections. Further, a mean value for the crack-width in
dependence to the load can also be calculated. This type of information is very important
for understanding the performance of new composite materials such as textile reinforced
concrete. Fig. 7 shows the load-strain curve corresponding to Fig. 6.
Textile reinforced concrete works suitably if the crack widths and the crack spacing are
small associated with the large number of cracks. In the above example, high strains are
observed with the formation of cracks having spacing Jess than I 0 mm. This behavior
demonstrates the good rotation capacity of the TRC composite.
SUMMARY
This paper presented use of textile reinforced concrete (TRC) for producing integrated
formwork element for use in construction. The TRC integrated formwork elements are
significantly lighter compared to the normal precast elements owing to their relatively
smaller wall thickness. The cross-section of the TRC integrated formwork element can
be chosen as dictated by the specific application and the composites can be designed to
have a high load-bearing capacity. The fresh concrete is protected against moisture Joss
by the integrated formwork elements that remain in place in actual construction. Hence,
neither demolding of the TRC integrated form work nor curing of the poured concrete is
required. The TRC integrated formwork elements also possess the advantage of having a
surface appearance of high quality. This contribution presents a compilation of the re-
sults from the testing performed on the TRC integrated forrnwork elements.
The integrated forrnwork has been developed as an applicable construction element. Nev-
ertheless, the research work is in progress and the main topics of investigation include
understanding the interaction between the integrated forrnwork and the site concrete.
Need also exists to understand the improvement in fire resistance performance obtained,
if any, as a result of the use of integrated formwork in construction applications.
ACKNOWLEDGEMENTS
This work (A iF-No. 47 ZN/DBV 229) is supported by the German Association of Con-
crete and Building Technology (Deutscher Beton- und Bautechnikverein E. V.) and the
Union of Industrial Research Association (Arbeitsgemeinschaft industrieller Forschungs-
vereinigungen) with financial resources of the Federal Ministry for Economy and
Technology.
LITERATURE
(I) Hegger, J. ; Sasse, H.R. ; Wulfhorst, B. ; Doinghaus, P. ; Ro131er, G. ; et al: U-
Shaped Supports as Formwork Elements Integrated in the Construction Member.
Frankfurt : Messe, 1999. - In: TechTextil Symposium lnnovatives Bauen 5.1
Textilbewehrter Beton - Material und Produkte, Frankfurt, 13. April 1999,
Vortrag 517, 8 Seiten
50 Brameshuber et al.
(2) Brameshuber, W.; Brockmann, J. ; RoBier, G.; Hegger, J.; et al: Textile Rein-
forced Concrete for Formwork Elements. Frankfurt : Messe, 2001. - In: II.
lnternationales Techtextil-Symposium fiir technische Textilien, Vliesstoffe und
textilarmierte Werkstoffe, Frankfurt, 23.- 24.04.2001, Vortrag 33570917
(5) Hegger, J.; Molter, M.; Will, N.: Facades made out of Textile Reinforced Con-
crete. Leipzig Verein der Freunde des Bauingenieur- und
Wirtschaftsingenieurwesens an der Universitiit Leipzig, 2002.- In: Proceedings
of the 6th International Symposium on Utilization of High Strength/High Per-
formance Concrete (Konig, G. ; Dehn, F. ; Faust, T. (Ed.)), Leipzig, June 2002,
Volume 1, S. 125-136
(6) Brameshuber, W.; Brockmann, J.; RoBier, G.: Textile Reinforced Concrete for
Formwork Elements - Investigations of Structural Behaviour. London : Thomas
Telford, 2001. - In: Proceedings of the 5th International Conference on Fibre-
Reinforced Plastics for Reinforced Concrete Structures, Cambridge, 16-18 July
2001, (Burgoyne, C.J. (Ed.)), Vol. 2, S. 1019-1026
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
-+ o•1s kNim
rmxM, Minimum lever-ann z, [mm)
~~ ~--------~~~~~--------~
Reinfoo::ement
System y: 1.5 1---:-:-----.--::-:-----.---=-:--------i
11ayer 21ayers 31ayers
1.03 55 27 18
J • .A 0.83 84 42 28
I 1~ , \2!\ • 125 I
1 19 12 60 40
150 1SO 1!10
M....ll'i~kl'llttn
600 . , - - - - , - - - - - , - - - - - : - - -
•••
•••
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Materials
•
.~c. .
Fig. 2: Production of 3-dimensional textiles
52 Brameshuber et al.
A-A
.;;;;;;;, ~~~0
0+---~--~----~--~--~--~----~~
0 2 3 4 5 6 7 8
Strain (mm/m]
/
:z-s / v \
1!.-s
~ -4
.L"¥' I-"' .,...._.,...
4711mm ~
~
~
-3 '---
./
-2
-1 r 1500mm
I--
I--
0
0 5 10 15 20 25 30 35 40 45
Deflection [mml
-10
z.!.
-9
-8
-7
-6 /
/
//
/
""
'tl -5 -.../'
/
~
.9"' -4 .,...._.,...
470mm
.,..r..J [
-3
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54 Brameshuber et al.
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SP-224-05
Synopsis: The composite material textile reinforced concrete (TRC) offers a number of
advantages, in particular for the manufacturing of fa~ades. The textile reinforcement and
the possible thin concrete cover, enable the construction of thin-walled structural
components. Filigree cladding panels made of textile reinforced concrete open up new
ways for an entirely new application of the construction material concrete and give
architects and engineers more freedom in the design. In this paper some basic information
about the load bearing behavior of textile reinforced concrete is given and the use of
textile reinforced concrete in a pilot project for the exterior claddings of the extension of
the laboratory hall at the RWTH Aachen University, Germany, is described.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
55
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56 Hegger et al.
AUTHOR'S BIOGRAPHIES
ACI member Alaa Sherif is Associate Professor in the Civil Engineering Department,
Helwan University, Cairo, Egypt. He obtained his Ph.D. from the University of Calgary,
Canada in 1996. He is an Associate Member of ACI Committee 352 Joints and
Connections in Monolithic Connections. His main research interests include the behavior
and serviceability of reinforced concrete structures.
Matthias Molter obtained his Diploma Degree in the field of structural engineering from
the Technical University of Darmstadt in 1993. From 1996 to 1998 he worked as a
research assistant at the Structural Department at the University of Karlsruhe, and from
1998 to 2002 at the Structural Concrete Department at the RWTH Aachen, Germany.
Since 2002 he is director of the technical office, Bremer AG, Paderbom, Germany.
Stefan Voss is research assistant at the Structural Concrete Department at the RWTH
Aachen, Germany. He obtained his Diploma Degree in the field of structural engineering
from the RWTH Aachen in 2002.
RESEARCH SIGNIFICANCE
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Textile reinforced cladding panels have been used for the extension building of the
Institute of Structural Concrete, RWTH Aachen University, shown in Fig. 1. The existing
single-aisle hall with a span of 12.0 m has been extended by four axes of 5.4 m spacing
each. Curtain wall elements were used except for the lower part (socket) of the building,
where sandwich plates of 35 mm thick facing shells were placed (Fig. 2). Innovative,
textile reinforced concrete components have been developed for this purpose. On the
longitudinal side of the hall, 2685 x 325 x 25 mm curtain wall panels as shown in Fig. 3
have been applied instead of hitherto natural stone, which would have been the typical
choice. The high cost of the natural stone and its manufacture restricts its use to high
quality administrative buildings. Textile reinforced cladding panels are notably less
expensive and are therefore a cost efficient alternative for residential and commercial
structures.
EXPERIMENTAL INVESTIGATIONS
Extensive experimental and theoretical investigations are currently carried out at the
RWTH Aachen to determine the load bearing behavior of textile reinforced concrete.
Therefore, the effect of different fiber materials (e. g. alcali resistant glass (AR Glass),
carbon and aramide), different fiber bundle (roving) and fabric geometries, coatings and
concrete properties are tested. ·
Materials: AR Glass fiber fabrics have been chosen as reinforcement for the fa9ade
panels because of their lower costs compared to fabrics made out of carbon or aramide
fibers. The textile reinforcement fabrics for the test series (Table I) were designed and
manufactured by the Institute of Textile Technology, RWTH Aachen University. They
differ in the roving thickness and the mesh size. The tensile strength C!mm· is determined as
the average value of I 0 tensile tests on 125 mm long parts of rovings taken from the
fabric. The loading has been applied with a deformation rate of I 0 mm/min. The values
for a"'"' are only reference values because of the test results depending on the
deformation rate and the length of the specimen. The properties of the fine-grained
concrete used for the specimens are given in Table 2.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
58 Hegger et al.
~ Previous tests [2], [3] showed that the tensile strength of the embedded fibers in
the composite material textile reinforced concrete cannot be fully exploited. Reasons for
this are the damage of the fibers during the textile manufacturing processes, the bond
characteristics of the rovings in the concrete, the fiber adjustment and the surface finish
of the fibers. For determining the tensile load bearing capacity of the composite material,
tensile tests were performed with 900 mm long and 100 mm wide test specimens as
shown in Fig. 4. Strains were measured directly on the specimens using LVDT's. The
loading was applied with a constant deformation rate of 1 mm/min. In order to examine
the influence of the fiber orientation, in one test-series the fabrics were turned around
22.5°, 45.0°, 67.5° and 90.0° with respect to the direction of the tensile stresses. In
addition, four-point-bending tests have been carried out to determine the load bearing
capacity of textile reinforced concrete structures under bending loading. The influence of
the reinforcement quantity on the load bearing capacity and on the effectiveness of the
fibers was examined by varying the reinforcement ratio. The specimens geometry and the
test set-up are shown in Fig. 5. The tests have been repeated two times, so that each test-
series with its specific material combination and test set-up consists of three tests.
Results: Investigations in [4] revealed that the shape of the textile reinforcement cross-
section has a substantial influence on the load bearing capacity. With a roving embedded
in the concrete, the filaments which are in direct contact with the concrete matrix transfer
higher bond forces than the filaments which are located inside a roving. Thus, rovings
with large diameters have worse load bearing characteristics compared to rovings with
small diameters, which have a more favorable cross-section area to perimeter ratio. This
is also confirmed by own tests as shown in Fig. 6, where the results of tensile tests are
compared. It is obvious that the fabric MAG-01-03 consisting of the finest ravings
reaches the highest utilization of the fibers. With increasing roving thickness, the
maximum failure stress of the textile reinforcement decreases.
The effect of the fiber orientation on the load bearing behavior of textile reinforced
concrete is shown in Fig. 7 (a). The load bearing capacity of sloped rovings is lower than
those of rovings aligned in the load direction. For the MAG-07-03 having an equal
orthogonal reinforcement the results show symmetry to an angle of 45°. The rate of the
loss of load bearing capacity subjected to the fiber orientation is given by the reducing
factor ko.a· With increasing fiber slope the effectiveness of the fibers decreases to 61% for
a fiber orientation of 45°. Reason for the loss of load bearing capacity are additional
stresses the sloped fibers are subjected to during the cracking process. The change of the
direction of the fibers at the crack edge causes bending stresses and delaminating of the
fibers from the matrix as well as a transverse force pushing the roving against the crack
edge. This leads to fiber failure at the sharp crack edge and can cause a failure at the
matrix edge. Tests in [5, 6] with sloped rovings showed that the fibers are not pulled out
of the matrix even if the bond length of the fibers is very short. In fact, the member's
failure is always caused by the fracture of the sloped fibers.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Thin Reinforced Cement-Based Products 59
concrete area of the profile. The fiber effectiveness k 0, shown as a function of the
reinforcement ratio, is calculated as:
- (J' f,bt
k() - (l)
(J' max
In this equation afht is the maximum failure stress of the roving in the bending test on the
textile reinforced concrete specimen and amax is the tensile strength of the roving. For
different reinforcement ratios the fiber effectiveness reaches a constant value of about
40% for the MAG-07-03. The fiber effectiveness may be improved by a coating. Coating
or laminating the textiles leads to the gluing of the filaments. Thereby, the bond
characteristics of the core filaments between each other are significantly improved and
the effectiveness of the fibers can be more than doubled [4].
Conclusions: Based on the test results, the tensile load bearing capacity Fc111 of the textile
reinforcement cross section embedded in concrete may be calculated as:
II
where k 0 and ko.a are the factors accounting for the bond behavior and the orientation of
the fibers resulting from tension and bending tests on textile reinforced concrete
structures, A 1 is the cross-section area of the fabric, amax is the maximum tensile strength
of the ravings and n is the number of fabric types in the cross section.
The design of the textile reinforced concrete panels is based on the progress report for
textile reinforced concrete [2] and on the described experimental as well as theoretical
investigations on the behavior of textile reinforced concrete elements conducted at the
RWTH Aachen University.
The dimensions of the panels are 2685 x 325 x 25 mm and the support conditions are
shown in Fig. 8(a). Because of the statically determined support conditions no stresses
due to temperature changes are generated. The reinforcement layer in the longitudinal
direction lies about 4 mm from the surface of the panel leaving an effective depth d of 21
mm. This leaves a concrete cover of at least 3 mm. In addition to their own weight (g =
24 kN!m\ the panels are designed for a maximum wind suction Ws = 1.0 kN/m2
occurring at the comers of the building. The analysis resulted in a maximum bending
moment in the longitudinal direction of Mw.L. = 0.24 kNm/m due to wind loading as
shown in Fig. 9, in addition to a tensile force due to the own weight of the panels NnL =
2.8 kN/m. The design tensile force T, for the textile reinforcement is calculated as:
T = Yw.L.MwL + YDLNDL (3)
I
Yet 2
60 Hegger et al.
Applying a moment arm Yet = 0.85d, a load factor 'YwL= 1.5 for wind load and 'YD.L. = 1.35
for own weight, results in a tensile force Tt = 22 kN/m. The required cross section At is
determined as:
YtT,
At = ---'--'-- (4)
kokoaumax
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collapse under service loads is higher than 4. Furthermore, the large deflection values
measured in the tests indicate the ductility of the panels.
For fixing the curtain wall panels, an agraffe-fixing device shown in Fig. 13 is used.
The vertical aluminum substructure (skeleton) of the device is plugged into the steel-
reinforced wall. The agraffes are fixed to the textile-reinforced panels using special
dowels. These are positioned in the panel inside cone-shaped boreholes. Pull out and
shearing tests as shown in Fig. 14 have been carried out in order to check the load bearing
capacity of the dowels. In practice the dowels are loaded with a combined pull-out and
shearing load with a calculated maximum value of 0,17 kN. Therefore, the lowest load
capacity resulting from the tests had to be determined. The results (Fig. 15) showed that
the dowels can resist more than seven times the load they are actually subjected to in
practice even if they are positioned in cracked concrete.
SUMMARY
ACKNOWLEDGEMENTS
REFERENCES
I. Hegger, J.; Curbach, M., 2001, "First Colloquium on Special Research Areas 528 and
532", Proceedings, RWTH Aachen, Germany, February 15-16,334 pages
2. Curbach, M., Hegger, J. et al., 1998, "Sachstandbericht zum Einsatz von Textilien im
Massivbau", Chapter 7.5, Deutscher Ausschuss fUr Stahlbeton (DAfStb), Heft 488, Beuth
Verlag, pp. 81- 90
First Colloquium on Special Research Areas 528 and 532, RWTH Aachen, pp. 205-219
5. Mashima, M.; Hannant, D.J.; Keer, J.G., 1990, "Tensile Properties of Polypropylene
Reinforced Cement with Different Fiber Orientations", ACI Journal, Vol. 87, No. 2, pp.
172-178
62 Hegger et al.
6. Bartos, P., 1982, "Bond in Glass Reinforced Cements in: Bond in Concrete", Elsevier
Applied Science, London, pp. 60- 72
NOTATIONS
CONVERSION FACTORS
1 in. = 25.4 mm
1 ft = 0.3048 m
1 kip =4.448 kN
1 ft-kip = 1.356 kN-m
1 psi = 6.89x 1o-3 MPa
Young's Modulus
(MPa)
33!00
64 Hegger et al.
Facade Panels made of Textile Relinlf:•rcl!d
(a) Sandwich clcrncnis with facing shell of (b) Textile-reinforced cladding panels
textile concrete
Fig. 2 - Sandwich elements and cladding panels out of textile reinforced concrete
, 65 .,lr
'1
135 135 A' 65 >f
;f 200 400 200 ;f
900 [mm]
textile reinforcement
LVOT 0
II -4--ac- II
measurement range load introduction zone
"'"+•••••• •••·•••-~••••oom••••*•••oooo,.,•.,.,.,~,_., . .,. •• .,. •.,.,~ •.,. • .,.,.,~,., •.,., •., . .,.,..,,.,.
~ 1000 t-1
iii 600
0..
i!.
:a 500
~
'E 400
I
~
300
"£ 200
100
0
0,0 1,0 2,0 3,0 4,0 5,0 6,0
Strain (%o)
Fig. 6 - Reinforcement stress - strain of textile reinforced concrete element curves of
tensile tests
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
66 Hegger et al.
l::.~ J
";"
~M
I
J 0.2/ . . . ). . . .
0.2
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50 I 168.5 I 50
L =:t:LVDT ~
25 tZ.c.;i.c:::::.:-::.:."'·•···:c~"··====~::::-i'~·n
'LVOT
0 20 40 60 80 100 120
Deflection [mm]
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
68 Hegger et al.
Vertical Substructure
(plugged at steel-
reinforced wall)
Agraffe
Dowel in
cone-shaped
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borehole
Panel
Fig. 13 - Fixing technique of the curtain wall panels
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
{a) profiled spacer tabric
70 Hegger et al.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
SP-224-06
This paper presents properties of the material, design assumptions for project
solutions and the manufacture, installation and assembly procedures for specific projects
including roof panels, 5 sided-boxes and anchor plates.
Many economies gained from this new technology are a result of engineering new
solutions for old problems. By utilizing the unique combination of superior properties, designs
can eliminate passive reinforcing steel and experience reduced global construction costs,
form works, labour and maintenance. Additionally, this relates to benefits such as improved
construction safety, speed of construction, extended usage life and others.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
71
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V.H. (Vic) Perry, FCSCE, MASc., P. Eng., Vice President and General Manager -
Ductal®, Lafarge North America Inc. (Calgary), received his Bachelor of Civil
Engineering (1978) and MASc in Structural Engineering (1984) from Dalhousie
University, Halifax, Canada. Mr. Perry completed Executive Management Programs and
Graduate Studies at the University of Western Ontario, University of Toronto and Duke
University. Mr. Perry has been involved with Ductal® since 1997, initially as Marketing
Director- Ductal®, for the Lafarge Group in Paris, France.
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form work to the North American precast industry.
INTRODUCTION
Many economies gained from this new technology are a result of engineering
new solutions for old problems. By utilizing the unique combination of superior
properties, designs can eliminate passive reinforcing steel and experience reduced global
construction costs, form works, labour and maintenance. Additionally, this relates to
benefits such as improved construction safety, speed of construction, extended usage life
and others.
This paper presents properties of the material, design assumptions for project
solutions, manufacture, installation and assembly procedures for specific projects. The
projects described include roof panels, 5 sided-boxes and anchor plates.
The ductile behaviour of this material is a first for concrete. The material has
the capacity to deform and support flexural and tensile loads, even after initial cracking
(Figure 1). These performances are the result of improved micro-structural properties of
the mineral matrix, especially toughness and control of the bond between the matrix and
the fiber.
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microns) and chemical reactivity. The net effect is a maximum compactness and a small,
disconnected pore structure.
The material has almost no shrinkage or creep, which makes the material very
suitable for prestressed applications. The use of this material for construction is
simplified through the elimination of reinforcing steel and the ability ofthe material to be
virtually self-placing or dry-cast.
STRENGTH e)
Compressive (3" x 6" cylinders) 160- 220 MPa (23- 33 KSI)
Flexural (I Yz" x I Yz" x 8" Prism) 35-50 MPa (5000- 7200 PSI)
Youngs Modulus (E) 55-60 Gpa (8- 8.5 x 106 PSI)
Total Fracture Energy 20,000 - 30,000 11m 2 ( 1300- 20001b (F)-ft/ft2)
Elastic Fracture Energy 20-30 J/m 2 2
(1.3 -2.0 lb (F)-ft/ft )
DllRABIUTY e)
Chloride ion diffusion (CI) 0.02 X ] 0" 12m 2/s (0.02 x 10" 11 ft 2/s)
Carbonation penetration depth <0.5 mm (<0.02 inches)
Freeze/thaw (after 300 cycles) ASTM 672 100%
Salt-scaling (loss of residue) ASTM 666 <10 g/m 2 ( <0.0025 lb/ft2)
Abrasion (relative volume loss index) 1.2
unlike any other material currently available. Using these combination of properties to
design new solutions for old problems is 'key' to providing ecomonical solutions to
customers. A few of the markets that have been explored and appear interesting are:
Kennels/ Animal Proof Waste Containers- thin walled, aesthetically pleasing, corrosion
resistant and durable against denting.
Acoustic Pannels - thin panels replicating gypsum acoustic panels capable of resisting
corrosion and impact or abuse.
Structural Wall Panels - thin-walled with rib, light weight load bearing panels, with
enhanced architectural finishes.
Bridges - long spans, shallower profiles, lighter weight spans with improved
impermeability, abrasion resistance, durability.
EXAMPLE OF PROJECTS
This technology was used for one of the three clinker silo roofs (Figure II) and a
conventional steel solution for the other two. This section presents the properties of the
material, the design assumptions for the two roof solutions, the manufacture of the panels
and the erection and assembly of the roofs.
Due to fast track requirements and the owner's concern that a new technology
may interfere with the schedule, a decision was made to carry two designs in parallel
through to the award. Both options were designed by the Engineers and tendered
competitively.
Table I summarizes the test data results from the production of the 24 roof
panels cast at the Winnipeg precast plant. For the roof panels, "Ductal® CS I 000" was
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
specified in the contract document. Ductal CS I 000, one of several in the Ductal® product
range, is formulated for structural use in civil engineering projects. The mean
compressive strength of 166 MPa (24,000 psi) was supplied to comply with the
specification minimum requirement of 160 MPa (23,000 psi).
From this point, finite element analysis was used to predict the shell stresses and
potential buckling. The principal compressive stresses due to the conical forces resulted
in a required shell thickness of I 0 mm (I /2" ). Buckling, demolding, handling,
transportation and erection conditions dictated radial side stiffener beams, pre-stressed
with four strands, at each side of the precast panels. Secondary bending stresses due to
uniform roof live loading and buckling requirements dictated transverse ribs. See Figure
IV for a plan and cross-section of a typical panel.
The final finite element modeling of the roof with all loads and geometry
revealed very low service stress levels. Minimum cross-sectional dimensions and
buckling generally governed the final design.
Batch sizes of0.9 m 3 (1.2 yd 3) were mixed and placed into the steel forms in one
continuous casting. QA/QC testing on each batch included flow tests, fiber content,
cylinders for compressive strengths and prisms for flexural strengths.
Following casting, the panels were covered with a tarpaulin and steam cured at
40°C (IOOF) for 16 hours. The following day, when the panels attained 40 MPa (6000
psi) minimum compressive strength, the strands were cut and the panels removed from
the forms. At the end of each week, the panels were stacked in piles of 4 and thermally
treated at 90 °C ( 190F) for 48 hours (Figure VII).
Transportation of the panels from the Winnipeg, Canada precast plant to the
Joppa, USA site was via flat deck trucks in loads of eight panels per truck (three loads for
a total of twenty-four panels).
Erection and Installation of the Panels - The panels arrived on site in three
truck loads of eight panels per truck (Figure VJII). All twenty-four panels were unloaded
and staged in position for installation to the roof.
A mobile crane was used to install and temporarily hold the circular steel beam
penthouse floor in place until the panels were installed. The panels were lifted one at a
time (Figure IX), alternating opposite sides and bolted to the steel penthouse floor and the
top of the concrete silo wall (Figure X).
When all panels were bolted into place, the crane was disconnected from the
penthouse floor and freed up to start other work on the site. Grouting between the panels
completed the air and water tight roof system. The penthouse and connecting conveyors
were then installed (Figure XI).
The Ductal® roof system resulted in significant on site construction time savings
(Table II). It took eleven days of construction to install the Ductal® roof compared to 35
days for the steel roof system. Additionally, it was discovered that the roof panels were
more accommodating to the construction tolerances for out-of-roundness and flatness of
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the top of the slip-formed silo walls. Whereas the steel roof elements were premanu-
factured to exact tolerances and required additional closure plates and redrilling to install
on the out-of-round silo walls, the precast panels were supplied with a roof overhang and
over-sized holes to receive expoxy pins to connect to the top of the silo walls.
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Thin Reinforced Cement-Based Products 77
This project (Figure XII) was the first of its type in the world for the use of
Ductal® in a long-span roof structure. While this solution demonstrates many of the
benefits of the technology, it is apparent that the true benefits of are not yet fully
recognized. Furthermore, the optimized profiles and use of this technology is in its
infancy and, in the next few years, much progress is anticipated in the area of optimized
solutions using this material.
Animal proof waste containers and dog kennels are both thin-walled, 5-sided
boxes, with doors/gates- one designed to keep animals in and the other designed to keep
animals out. Both products require a high quality surface finish on all surfaces with
rounded comers to prevent injury. The kennels and waste containers are required to
resist denting, rusting and abuse in a corrosive environment.
The kennels are 1.8 m x 1.5 m x 1.2 m (6' x 5' x 4') with a wall thickness of 20
mm (3/4"), for a total material volume of 0.2 m 3 (0.26 yd 3) per kennel. The waste
containers are 1.0 m x 0.5m x 0.5 m (3' x 18" x 18") with a wall thickness of 20 mm
(3/4"), for a total material volume of0.05 m 3 (0.06 yd 3) per container.
The selected production method was to use double sided molds for a 5-sided box
(Figure XIII) and to use an injection casting technique (Figure XIV). All elements were
cast upside down and injected at the bottom of the mold under a constant pressure. A
pressure vessel filled with the fluid material was connected to the mold with a flexible
tube through a knife valve gate. Typical injection casting times to fill the mold were I 0
minutes. The quality and tightness of the molds were very important to ensure a high
quality surface finish and to not have leakage of the fluid material while injecting.
The final products (Figures XV & XVI) were an excellent example of new
products with improved charact~;ristics and economical benefits.
In 2002, precast retaining wall panels were manufactured for placement beneath
a highway bridge in Calgary, Alberta, Canada. Due to restricted site accessibility, it was
decided that off-site construction of the precast wall panels would speed up the schedule
by permitting earlier installation of the super-structure prior to completing the
earthworks, sub-structure and retaining structures.
Steel molds were manufactured for casting the block-outs in the precast
retaining walls. The same molds were then used for the anchor blocks, resulting in a
match casting of the blocks and pockets (Figure XIX). This also provided molds with
water tight joints to prevent leakage of the fluid during the casting operations. A plastic
insert was cast into the top side of the mold to form a precise pocket to accept the counter
sunk bell nut.
The specifications required a compressive strength of 150 MPa (22,000 psi) and
the mean compressive strength obtained was 188 MPa (27 ,000 psi). Batch sizes were
0.22 m 3 (0.3 yd 3 ) to cast 3 anchor blocks in one casting. Total production took 11 days.
The anchor blocks were assembled in the precast yard on pallets (Figure XX) and shipped
to the project site as required by the schedule. Each block had a mass of 160 kg (350
lbs).
The anchor blocks were installed at the site (Figure XXI) using a bobcat and two
men. Following the placement of the blocks into the wall pockets, the bell nut was
threaded onto the soil rod (Figure XXII & XXIII).
CONCLUSION
REFERENCES
I. Patents: Issued by the U.S. Patent Office 5, 503, 670 and, 5, 522, 926.
2. La farge North America Inc., Technical Characteristics sheet for Ductal® with
Metallic Fibers, found on the website: www.imagineductal.com.
3. Perry, Vic, "HPC Bridge Views", Q&A, Issue No. 16, July/August 2001.
6. J.R. Spronken & Associates Limited, "Country Hills Retaining Wall (Ductal®
Anchor Blocks) Project Drawings and Specifications", Project No. COI098,
Calgary, AB, Canada, March 2002.
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1.0 1.5
Deflection (mm)
........... ...
.. -........ ~
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Thin Reinforced Cement-Based Products 81
Figure V -Steel framing (left) vs. Ductal framing (right) for the silo roof
Figure VII - Stack casting of panels for the 48 hr thennal treatment at 90° C
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Figure XII- All 3 clinker silos and connecting feeder conveyors. (Ductal silo at far right).
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84 --``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Zakariasen and Perry
Figure XIII - Inside of mold, showing openings for the top and rear doors
Figure XIV- Set-up for injection casting of animal proof waste containers.
1700mm
.
:. .r--
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86 --``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Zakariasen and Perry
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SP-224-07
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Synopsis: This paper first proposes a reviewing and a critical analysis of the different
UHPFRC which exist, and secondly presents a new cement composite, the
CEMTEC,, 111"'"".,. patented by the Laboratoire Central des Pants et Chaussees (Paris,
France).
This cement composite has been tested under static bending and asymmetric fatigue
bending From this experimental study, the following comments can be made :
The characteristic strength and ultimate strain in compression are respectively
equal to 205 .MPa, and 4 J0· 3 .
the J-oung modulus is equal to 55 GPa and the Poisson coefficient is equal to
0.21.
The average modulus of rupture (MOR) is equal to 61.5 MPa;
n1e average strain related to the average MORis equal to 9.2 1(}3 •
A critical initial static strain threshold exists. Before this threshold a specimen
in CEMTEC,111,;,c.de'' does not fail during a bending fatigue loading and beyond
this threshold the failure fatigue cycles number linearly depends of the initial
static strain. The strain threshold determined in this study is befv..!een 1.24 x 1&
3
and 1.44 x J0· 3.
Below a loading ratio R = 0.65,failure during bendingfatigue test never
appears with a specimen of CEMTEC'",,,;_,cule G!·.
89
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INTRODUCTION
The recent development history of Fibre Reinforced Cement Composites has been
marked by three separate approaches. In chronological order of their appearance they are:
- FRCC containing between 5 and 10% of metal fibres which are 6 mm in length and
0.15 mm in diameter. This type of concrete was developed by the company Aalborg
Portland (Denmark) and has been marketed under the name CRC (Compact Reinforced
Composites) [1 ];
- FFRC containing a maximum of 2.5% of metal fibres which are 13 mm in length and
0.16 mm in diameter. This type of concrete was developed by Bouygues, Lafarge, and
Rhodia which are french companies (France) and has been marketed under the name of
DUCTAL~ [2];
- FFRC containing mixtures of short and long metal fibres. This type of concrete, called
MSCC (Multi-Scale Cement Composite), was developed by the Laboratoire Central des
Ponts et Chaussees (LCPC, France) [3).
Two types of fibre reinforced concrete have been developed concurrently with those
described above, but we feel they differ slightly from them. The reason is that these two
materials do not possess an ultra-compact matrix, i.e. a matrix with ultra-high
compressive strength (~ 150 MPa) as their matrix compressive strength does not exceed
70 MPa. They are mainly of interest because under uniaxial tension they are ductile and
exhibit strain-hardening and therefore undergo multicracking under tension.
SIFCON (Slurry Infiltrated Fibered Concrete) [4] is produced by filling the formwork
with bulk fibre and then injecting a fluid mortar slurry which coats the fibres. This
technique results in a very high fibre content of between 7 and 15% depending on the
shape and the laying technique. Consequently, to achieve correct filling, the slurry must
be extremely liquid which means that water-cement ratios must be very much higher than
for other types of FRC.
- CRC · The Danish decision to use a high percentage of short fibres (between 5% and
I 0%) can lead to an improvement in the mechanical characteristics of the material under
tension (strength and ductility) but cannot have a significant effect on the bearing
capacity and ductility of a structure, with the exception of very thin structural members
(because of the scale effects). Consequently, for thicker structural members such as slabs
or beams, CRC is used with a very high percentage of conventional concrete
reinforcement (5 or I 0 times the usual percentage). This combination of a high
percentage of metal fibres and a high percentage of conventional reinforcement is logical
and mechanically effective for the following reasons :
- As the high percentage of short fibres increases the tensile strength of the material more
than its ductility, in order to construct a ductile structure with this type of concrete, the
use of a high percentage of reinforcement is imperative,
However, CRC does have a number of shortcomings, the main ones being :
· It is an extremely costly technical solution both as regards material and labour (the
reinforcing bars are difficult and time-consuming to install);
- DUCTAL '!l - This material uses fibres which are twice as long as those in CRC but with
the same diameter. The choice of fibres with a very high specific surface area has two
consequences :
- The first is that to achieve the same level of workability obtained for CRC with between
5 or I 0% of fibres, it is barely possible to exceed a fibre content of 2.5% with
DUCT ALR. This relatively low fibre content has two adverse effects on the mechanical
performance of DUCT AL'1j;: .
the fibres do not raise the uniaxial tensile strength of the matrix which is about 8 Mpa ;
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This shows that by adding a single size of metal fibres to an ultra-high strength matrix it
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is not possible to achieve effective action at the scales of the material and the structure:
- Bonding between the fibre and the matrix (CRC and BPR have a similar matrix) is
considerably better in the case of BPR than CRC. The fibres can therefore have an
effect on wider cracks, and therefore improve the performance of the structure (in terms
of bearing capacity and ductility). Unlike CRC, there is no need to use very large
amounts of conventional reinforcement in order to obtain ductile structures.
The following remarks can be made concerning the scope for industrial applications of
DUCTAL®:
- In view of its relatively low direct tensile strength (10 MPa), DUCTAL® can only be
used in reinforced or prestressed concrete beams or slabs to replace transverse
reinforcement (for example to resist shear force in frames). Furthermore the high cost
of the material means that it is essential that the specification for the structure makes
great demands as regards to durability and lightness ;
- MSCC- These materials are a direct application of the Multi-Scale Fiber Reinforcement
Concept [6]. The idea is to mix short fibres with longer ones in order to act both at the
scale of the material (increasing tensile strength) and the scale of the structure
(increasing bearing capacity and ductility).
Using this approach, there is no difficulty involved (for achieving good workability) in
adding, for example, a percentage of fibres that may be as high in volume terms as 7%.
With respect to the uniaxial tensile performance, the material exhibits a stress-hardening
behaviour (in the same way as steel) and strengths of 15 MPa are readily achievable. The
MSCC in question consisted of a mixture of 5% of straight drawn steel fibres, 5 mm in
length and 0.25 mm in diameter, and 2% of hooked end drawn steel fibres which were 25
mm long with a diameter of 0.3 mm.
CEMTECmultiscale ~. which was the subject of a world patent filling by the LCPC in March
2001, is conceived starting from the same concept as a MSCC, but with some evolutions
compared to this last. These evolutions are declined as follows :
- CEMTECmultiscale <& contains 11% per volume of fibers whereas the MSCC contains 7%
of them.
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The LCPC launched, in 2000, a vast study over 4 years on CEMTECmultiscale®• study
which comprises mechanical tests to characterize the various mechanical behaviors of the
composite (behavior in statics, in fatigue, at high strain rates ... ), tests of durability, tests
on structural elements, and tests to optimize the manufacturing process (mixing and
casting). In this article only the results related to static and fatigue tests are presented.
STATIC TESTS
One of the industrial application aimed with this new composite material relates to the
slabs and the tloors strongly charged, such as the slabs of composite structures for
example.
The 200 mm width allows an orthotropic orientation ofthe fibers, of which largest makes
25 mm length, representative of this existing in a slab.
It is known that with the Ultra High Cement Composites, which is CEMTECmultiscate®• the
use of a heat treatment makes it possible to increase the mechanical performances of the
matrix. Also, in the present study it was used a heat treatment which consists in placing
the specimens in a drying oven at 90°c during 4 days, 48 hours after their release from the
mould.
Lastly, it also should be announced that, parallel to the compressive tests on the prismatic
specimens, compressive tests were also realized on cast cylindrical specimens. Thus, 6
cylindrical specimens with a diameter II em and height 22 em were used to determine
the compressive strength, and 3 cylindrical specimens with a diameter 16 em and height
32 em were used to determine the Young modulus and the Poisson coefficient. All the
cylindrical specimens were thermically treated.
- The average strength and ultimate strain in compression are respectively equal to 220
MPa, and 4.5 I o-3•
- The characteristic strength and ultimate strain in compression are respectively equal to
205 MPa, and 4 I o-3 .
- The Young modulus is equal to 55 GPa and the Poisson coefficient is equal to 0.2I.
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FA TIGUE TESTS
15 specimens were tested in bending fatigue, in an imposed loading rate (same test set-up
than for static tests). A first slow loading rate is imposed to reach the chosen maximal
fatigue load, then the load is decreased to reach the average fatigue load, and finally the
asymmetric sinusoidal fatigue loading is taken between I 0 and I 00 % of the chosen
maximal fatigue load. The imposed loading frequency was of 2.5 Hz. The test room is a
20 oc air-conditioned room. Tests were led until 2 millions cycles (10 days), except in
the case of premature failure.
During the study, the loading ratio R (ratio between the applied stress and the
characteristic static stress) varied between 0.77 and 1.03.
In Fig. 2 and Fig. 3 are presented examples of fatigue bending tensile stress-deflection
curves respectively related to a specimen which has failed before 2 millions cycles and to
a specimen which has not failed.
In the Fig. 4 are presented examples of deflection-cycles number curves respectively
related to the case where the specimen is broken before 2 millions cycles and the case
where the 2 millions cycles were reached. We find the usual shape of the fatigue curves
with three different phases:
- a first phase, corresponding with a starting micro-cracking of the matrix. The deflection
evolution is fast.
- a second phase marked with a slowing down of the deflection evolution.
- a third phase which marks the resumption of the damage and leads very fast to the ruin
of the structure. This last one is of course absent for specimen weakly damaged.
On the Fig. 5 is represented the fatigue cycles number-load rate (R) diagram. From this
figure one makes the following remarks :
The stress scattering observed on the Fig. 5 indicates that the applied load ratio is not
good parameter to analyze the fatigue failure probability related to composite. The
applied stress/MOR ratio related to each specimen is surely a best parameter to evaluate
this fatigue failure probability of a specimen of CEMTECmultiscale <E. Not being able to
determined this ratio, the specimen MOR not being known, the initial static damage
(quantitatively represented by the initial static strain) generated during the first static load
could be a good parameter to evaluate this fatigue failure probability.
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Considering this positive result, the fatigue failure cycles number-initial strain diagram
is, in a second step, drawn (Fig. 7). If we consider the Fig. 7, we can make the following
comments:
- There is a critical initial strain threshold below which specimens do not break before 2
millions cycles, while below this threshold the rupture becomes inevitable. This
threshold value is between I.27 X I 0" 3 and 1.44 X I 0"3•
- Beyond the threshold, there is a linear relation between the fatigue failure cycles
number and the initial static strain.
Specimens having reached the 2 millions cycles were then reloaded in quasi-static test
until rupture. The Fig. 8 presents the five static reloading curves, as wel1 as the average
curve.
Average static curves, before and after 2 millions fatigue cycles are represented in the
Fig. 9. For more legibility, we incorporate the min. and max. reloading static curves. We
observe that the static bending behavior after 2 millions fatigue cycles is better than those
related to the specimens not loaded in fatigue. The gain is about 6.5 %. The deflection at
the strength peak is approximately the same in the two curves.
Finally, if we consider the characteristic stress related to a strain equal to 1.27 x 10"3,
which is the lower value of the critical initial strain evocated above, we obtain a
characteristic stress equal to 30 MPa, that corresponds to a loading ratio R of 0.65.
CONCLUSION
A new ultra-high performance cement composite, the CEMTECmuttiscate ®' was tested under
static bending, stactic compression and under asymmetric fatigue bending. From this
experimental study, the following comments can be made:
I. The average strength and ultimate strain in compression are respectively equal to 220
MPa, and 4.5 10·3 •
2 The characteristic strength and ultimate strain in compression are respectively equal
to 205 MPa, and 4 I 0" 3 .
3. The Young modulus is equal to 55 GPa and the Poisson coefficient is equal to 0.21.
4. The average modulus of rupture (MOR) is equal to 61.5 MPa;
5. The average strain related to the average MORis equal to 9.2 10"3•
6. The stationary damage fatigue evolution of a specimen is dependent of the initial
static damage of this specimen.
7. A critical initial static strain threshold exists. Before this threshold a specimen in
CEMTECmultiscale ® does not fail during a bending fatigue loading and beyond this
ACKNOWLEDGEMENTS
The authors thank the team ofS. RICORDEL, namely J.D. SIMITAMBE, F. GUIRADO.
CARR lA T for the important work supplied during the mixing operations and preparation
of specimens.
REFERENCES
Richard. P., Cheyrezy, M., 'Les Betons de Poudres Reactives', Annales de l'ITBTP 532
(1995) 85-102 (in french)
Lankard, D.R, Newell, J.K 'Preparation of highly reinforced steel fibre reinforced
concrete composites', Fiber reinforced concrete, SP-81, (American Concrete Institute,
Detroit, 1984) 286-306.
Rossi, P., Acker, P., and Malier, Y., "Effect of steel fibers at two stages: the material and
the structure," Materials and Structures.l987, vol. 20, pp. 436-439.
~ =JI
~ 40 .
f!
J!l 30 '
CD
.5
I
l \
Characteristic curve
Min.
~.,
Ill
0~-----~----~----~----~----~----~
0 2 4 6 8 10 12
strain [x 1 o;
Figure 1- Static Bending tensile stress-Strain curves
50 First cycles
cycles (5000)
Oi'
D.
40
.
i!.
..
t
.!!
30
·;;;
c 20
s
01
c
:g
.
c
Ill
10
0
0 2 3
deflection [mm)
-----------------~------------
..
;:; 10
c
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0
0,0 0,4 0,8 1,2 1,6
deflection [mm]
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e
.sc 2.0
4.1 x 10"8 (mm I cycle)
0
=... ~
Q
..
.!
1,6
1,2
O.OE+O 5,0E+5 1,0E+6 1,5E+6 2,0E+6
Cycles number
2,4E+6 T'------------------,
...
E 2,0E+6 X X X
~
..
:;_ 1,6E+6
~
~ 1,2E+6
-...
u
~ 8,0E+5
.a
~ 4.0E+5 X
z
X .'><': ./ -~- ~/V
O,OE+O f-'-~-t-'-......._~..l.......'-~-'........_.....;s.,~-'--'--'--+*""'~~.....;;~""*-'-'-1
0.70 0,75 0,80 0,85 0,90 0,95 1,00 1,05 1,10
stress ratio (Fatigue Stress..Characteristic Stress)
1E-8
1E-7
LOQ1o (S) =-10.42 X l':j + 2,85
1E-6
Ill
....
0
1E-5 +
iii 1E-4
1E-3
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1E-2
0,5 1,0 1,5 2,0 2,5 3,0
3
Initial Strain E I [X 10" I
...
!!5,1E+5
1E+6 +tl
l
'
+
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~ i
..
>-
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l!
•
~ 1E+2
I
!
z= 1.27 ! 1.44
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1.0 1,5 2,0 2,5 3.0
Initial Strain£( [x 10i
0 2 3 4
Deflection [mm]
80T-------------------------------~
:70
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.
';;' 60
..
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Befol& fatigue
s
. 40
30
badi~ (average)
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20
0~--~--~----~---r--~----r---~--~
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deflection [mm)
Figure 9 - Static behaviors before and after fatigue loading
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SP-224-08
Sl·nopsis: The balance between sustainability and affordability is hard to achieve when
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considering choices of building envelopes. A simple and easy-to-construct stressed skin
structural sandwich system that is both affordable and sustainable is evaluated in this
paper. The system is composed of an expanded polystyrene (EPS) panel core, wrapped in
polymer mesh and covered with a thin cement skin on both sides. This system design
leads to a highly energy efficient building envelope system. A full-scale sandwich wall
was constructed and tested to examine the possibility of its use as a load bearing wall in
one story residential house without traditional timber frames. Based on the requirements
imposed by the National Building Code (NBC), the test results from this experimental
program were found to be promising. The wall carried a gravity load, a wind load and
seismic in-plane shear load at least 4 times as high as the NBC design load with negligible
lateral displacement and no visible cracking. At buckling failure, the load-carrying capacity
of the wall exceeded 10 times the design load. The EPS-core stressed-cement skin
sandwich building system thus provides a good example of the use of thin cementitious
products in load bearing exterior wall structural applications.
101
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Brad Robinson is the founder of Intematural Canada of Quebec, Canada. He has been
working on the energy efficient housing design and unitization of waste materials for 20
years. His innovation includes passive solar system, straw bale housing and bio-blocks.
INTRODUCTION
The sandwich structures are extensively used in airplane and automobile industry for
lightweight, high strength and stiffness, and economic design [1-3]. In construction
industry, this concept has been slowly but increasingly accepted. Sandwich roofing
panels made of expanded polystyrene (EPS) core bonded with plywood or flake board on
two sides are commercially available on the market. The straw bale houses and bio-block
constructions were all based on the cement skin sandwich building system [4]. The
growing use of straw bale for load-bearing building envelopes has made a significant
impact in the field of sustainable housing. Load-bearing straw walls have been praised for
being affordable, having high compressive strength and thermal properties, having
minimum environmental impact and reducing the use of valuable lumber. However, the
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process of building homes with straws is often painstakingly long and labor intensive,
requiring considerable work to compress the straw materials for energy efficient bio-
block cores. One of the solutions is to use the expanded polystyrene panels ("bead
board") as a core material in this cement skinned sandwich system.
The EPS-core sandwich wall is intended to deal with many of the challenges of
sustainable building: load-carrying capacity, affordability, energy efficiency, minimal
environmental impact materials, and occupant health. The cement skin can be applied
manually on site or prefabricated in factory, the former being suitable for remote areas,
while the latter for rapid construction of urban houses and commercial buildings.
Considerable savings are incurred when comparing the system to conventional wood
frame construction. The wall system is economical in the long term as well in reducing
heating and cooling costs by providing a tight and uniform insulation.
This paper reports a study on the load-carrying capacity of the cement skin - EPS core
sandwich building system. A full-scale wall test was conducted to examine the structural
response to the gravity, wind and seismic loads and make a comparison with the design
loads specified by the National Building Codes.
Mortar mix with sand to cement ratio of 2.5 and water to cement ratio of 0.6 was selected
as cement skin. The 7-day compressive strength was 19.4±0.14 and 28-day compressive
strength 20.4±1.03. With normal air curing, there was no significant difference between
7-day and 28-day properties. Therefore the full-scale wall tests were carried out 14 days
after thin cement applied and cured in the air.
EPS bead board was the insulation of choice for the project. In contrast to extruded
polystyrene, where HCFCs are used as the blowing agent, "bead board" EPS foam panels
are made with water vapor-blown polystyrene. Furthermore, the product used for this
research was made from over 80% pre- and post-consumer recycled polystyrene, that is
easily recyclable at the end of a building's life cycle. Finally, the materials used in the
system are relatively benign with regard to off-gassing, during and post-construction,
making it a good choice for a "healthy" building envelope. It costs almost half the price
of extruded foam. The board as received was I 0 I mm (4") thick. Three pieces were
bonded together to make up the core of 305 mm ( 12"). The compressive tests were
performed to determine the maximum load capacity of the core. It was about 12.5 kN/m
(852 lblft). The thermal resistance of the EPS bead board is about R = 3 h.ft2.F/Btu/in.
For 305 mm ( 12") thick EPS core, the thermal resistance of the wall is R = 36. This is a
high performance wall in a very cold climate. The building codes require that R == 20 be
the standard in Canada.
Polypropylene-based plastic mesh was used as a wrapping reinforcement for EPS core, as
a connection between core and skin, as well as an internal reinforcement for cement skin.
The mesh size was 2.3 strands per 25.4 mm (I in) and same in two mesh directions. The
breaking load was 2816 N/m ( 193 lb/ft).
EXPERIMENTAL PROGRAM
An EPS sandwich wall of 2.75 m (9') tall, 1.22 m (4') wide and 0.35 m (14") thick,
including the 25 mm (I") cement skin on each side of the wall, was constructed for full-
scale wall test. The purpose was to determine the capacity ofthe wall to resist the vertical
gravity load, the horizontal wind load and the cyclic shear load.
In order to obtain more information from the full-scale wall tests, the sandwich wall was
constructed first with a closed edge box-section (Fig. I a) to simulate the end condition of
a house and then with a cut open edge (Fig. 1b) to represent a mid-unit of the wall.
For the closed edge section, tests were conducted to examine the performance of the wall
when the applied load is first gradually increased to the design load level, and then
continued to four times the design load. The gravity load tests were performed first,
followed by wind load tests and in plane shear tests. Each test underwent three load-
unload cycles and visual inspection was carried out to detect the possible cracks.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
According to NBC (1995), a single story residential house of 6.7 m x 13.4 m (22 ft x
44ft) in Montreal area should be designed to carry the following loads:
Gravity load on 6.7 m (22ft) wall= 38.5 kN/m (120 lb/ft 2 x 22ft= 2640 lb/ft)
Gravity load on 13.4 m (44ft) wall= 19.3 kN/m (120 lb/ft 2 x 11ft= 1320 lb/ft)
Wind load= 1.2 kPa (24 pst)
Seismic load = 2.36 kN/m ( 162 Jb/ft)
Full-scale sandwich wall was constructed on the strong floor directly under the 104 kN
(2.2x I 06 1b) MTS machine in McGill University's Structural Lab. concrete footing (3m x
1m x 0.15m) was cast first with anchor bolts in position. Steel meshes were embedded in
the concrete footing, extending 0.3 m above the footing on two sides (Fig. 2). Four days
after casting the concrete footing, the EPS core was placed on the top of the footing and
guided by a wood frame to control the thickness of the cement skin. The core was
wrapped by plastic mesh and connected to the footing by the 0.3 m tall steel mesh. The
cement skin was applied manually to simulate the site condition in remote areas. Two
additional layers of plastic mesh were added; one close to the EPS core and the other near
the surface. The finished wall is shown in Fig. 3 with top end braced by timbers, the
bottom end bolted to the strong floor and front surface painted white to monitor the
cracking. A 25mm thick plywood plate was placed on the top of the wall to evenly
distribute the gravity load.
An air bag was built using a polypropylene plastic sheet in a wooden frame braced by
timbers and supported by steel columns of the MTS machine. The air pressure in the bag
was measured by the differences of water height. The schematic of the set-up for gravity
load tests and wind load tests is shown in Fig. 2. Two LVDTs were used to record the
displacements of the mid-point of the wall. LVDT 18 measured the front surface
displacement and LVDT 17 the back surface (air bag side) displacement. The latter was
accomplished through a steel rod embedded inside the wall and glued to the back surface
by epoxy.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
RESULTS
The response of the wall to the cyclically added wind pressure up to 5 kPa (4 times
design load) is demonstrated in Fig. 6. A 48 kN dead load was kept on the top. Both
LVDT 17 and 18 were used to detect displacements. It seemed that the back side (wind
side) displacement detected by LVDT 17 was larger than the front side (L VDT 18),
suggesting that the two cement skins did not move by a same amount. The residual
displacement after the first cycle was almost negligible. No crack was noticed.
Figs. 7 displays the wall response to the cyclic in-plane shear load up to three complete
cycles and at a load of 11.6 kN (4 times design load). The tests represent the expected
loads due to a seismic event on the house. The roof dead load of 5.1 kN was applied as
constant gravity load. No damage to the wall was observed.
Fig. 8 exhibits the results of cyclic gravity load tests after three cycles at 200 kN. The
maximum lateral displacement monitored by two LVDTs was 0.1 mm, indicating the
wall with open section was still stable and rigid, and could be used for failure analysis. 1t
was interesting to compare Fig. 8 with Fig. 5. The two skins in open edged wall tended to
move away from each other (Fig. 8), while the two skins in closed edged wall always
moved in the same direction. The two lateral displacements (Figs. 5 and 8) were of the
same order of magnitudes.
Fig. 9 demonstrates the cyclic wind load test results up to the wind pressure of 4.5 kPa
and 5.5 kPa. At 4.5 kPa, the wall with open edge exhibited similar response as the wall
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Compressive tests were conducted to examine the vertical load carrying capacity of a
cracked wall. The wall was loaded up to 300 kN, unloaded to zero and then loaded again
to failure (Fig. 10). Significant lateral displacement was observed. In failure tests, the air
bag was removed and LVDT 17 was placed on the back side. The two LVDTs exhibited
almost identical values. The typical failure mode is buckling. A second transverse crack
was also observed during the buckling yielding. The test was stopped when the maximum
mid-height displacement reached 38 mm. The load capacity of the cracked wall was 406
kN/m.
A full-scale EPS core-cement skin sandwich wall was constructed and tested to examine
the possibility of being used as load bearing wall in one story residential house. The test
results were promising.
For both closed edge and open edge cross sections, the wall could carry a gravity load of
164 kN/m with barely any lateral displacement. This is 4 times higher than the required
NBC design load (38 kN/m). At buckling failure, the capacity reached at least 406 kN/m.
In wind pressure tests, the closed cross section had shown resistance to lateral
displacement almost 10 times higher than the open section. Both sections could carry at
least a wind pressure of 5 kPa ( 100 psf); about 4 times the design load ( 1.2 kPa ).
The seismic resistance of the wall was investigated by in-plane cyclic shear tests. The
maximum load of 11.6 kN was applied to represent 4 times the design load (2.9 kN). The
corresponding hysteretic permanent deformation was approximately 1 mm in a 2.7 m tall
wall.
The cement skin EPS core wall system demonstrated sufficient strength to serve as load
bearing exterior wall for one-story residential housing without traditional wood frames.
For a frameless house using this sandwich system, the joint design and construction
between the walls and the wall to roofing play a critical role and need to be investigated.
The high load carrying capacity of the wall system is attributed to the fully developed
strength in thin cement skin stabilized by the core. The maximum average load was about
13 kN/m for EPS core and about 1550 kN/m for sandwich block with two 25 mm thick
skins. The contribution of the EPS core to the structural capacity appears to be negligible.
Therefore, any materials that can hold the skins may be used as a core in the proposed
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
REFERENCES
[I] Allen, H. G. (1969), "Analysis and design of structural sandwich panels", Pergamon
Press, London, UK
[2] Hockman, L. E. (1973), "Sandwich construction and design", Analysis and design of
flight vehicle structure, Bruhn, E.F. ed., Jacobs & Associates, Indianapolis, Indian.
[3] Platema, F. J. (1973), "Sandwich construction", John Wiley & Sons, New York, N.Y.
[4] Robinson, B. (1996), "Proof of concept: development and testing of the biocrete
house construction system", Intematural Canada. Canada Mortgage and Housing
Corporation, Ottawa, Canada.
ACKNOWLEDGMENT
The authors gratefully acknowledgment the financial support from Canada Mortgage and
Housing Corporation (CMHC), and the team in the External Research Program, who
made the project possible.
1.2 m (4')
I
•.,.
0.355m (14") EPScorc
-too !'f- 6mm
1.2m(4')
J
(b) Cross section ofEPS sandwich wall with open edge
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Steel block
2.75m (9')
1.37m (45')
0.15m{6"''
Concrete footing
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
LVOTI l\'OT2
!.23m
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Fig. 4: Front view of sandwich wall
~r------------------------------------------,
:~tvtf!t1 .. ~1Q~~fbtti-W~Ihit$~i:l:4d
z«;~~-..~~te~t) ~~biN*lMt)'l~-E~Ggf:t
l.VOT18
--~---
Fig. 5: Cyclic gravity load tests (closed edge)
_...... LV0ft7
• L\.'DJta
,.
¢2 c• oE.
---
oe
I
~fQQiDnumt to~ tbl!
-""""'""'........ -
g:rM,Iold
!
I
·0.15 O:Hi
~ .... lvunr:
·•··l\'01'1•:
["!i:!f~:~...~ef_J
w
WJnd ..,._.. . •u~
Ot\tN Wlllwttt\ope....,..,
,.., ...... kM
•• IS
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
·SOO
......
.
!!
j
~
...,
i
~
u
...
M d ~ n w » ~ o
MfiS.PiomtLatat41~n.mM
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Fig. 10: Failure test of cracked wall up to buckling (open edge)
SP-224-09
Synopsis: Concrete tubes are usually produced by a centrifugation method using steel
bar reinforcements. The reinforcement of concrete with steel bars is expensive, susceptible
to corrosion and leads to rather thick and heavy structural elements. The application of
short fiber reinforced cement (FRC) or mortar is a suitable alternative. The paper presents
the development and evaluation of a suitable FRC for this particular application. First, the
cement matrix was optimized for use in a conventional casting forming process. A mixture
of ultra-fine cement and ordinary Portland cement improves the rheological properties of
the fresh mixture and results in a very dense cement matrix with excellent mechanical
properties. This optimized cement matrix was then reinforced with different kinds of
carbon and polymeric fibers such as PYA and PP. Hereby, the carbon fibers primarily
increase the llexural and tensile strength of the material, whereas the polymer fibers tend
to improve the ductility of the cement matrix. Furthermore, the influence of water-reducing
agents, of different constituents (microsilica, filler, sand), and the mixing process on the
mechanical properties were studied. The mechanical properties were found to depend also
on the curing conditions of the hydrated samples. The microstructure and the fiber-matrix
interface were investigated by ESEM (Environmental Scanning electron microscope). In a
further test series, the mixtures were optimized with regard to the flow properties needed
for the centrifugation process. The mechanical properties and the microstructure were
investigated. As a result, this work shows the possibility to apply the FRC for industrial
production of centrifuged tubes.
113
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Josef Kaufmann received his M.Sc. in physics and the Ph.D. with a thesis about frost
damage mechanisms in concrete from the Swiss Federal Institute of Technology Zurich
and Lausanne, Switzerland, in 1989 and 1999, respectively. He is actually a senior
researcher at Swiss Federal Institute for Materials Testing and Research (EMPA).
INTRODUCTION
Cementitious materials are known to be very brittle in tension, with small strength and
strain capacities. Steel reinforcement is usually necessary in order to use cementitious
materials and concrete as a construction material. The reinforcement of concrete load
bearing elements and secondary elements with steel bars is time consuming and
expensive, susceptible to corrosion and leads to relatively thick and heavy structural
elements. The substitution of the steel bars by high performance short fibers may allow
producing thinner, lighter and cheaper elements. Fiber reinforced cementitious (FRC)
materials show very high strength in flexure and tension with high ductility.
Short, high performance fibers are known to increase the flexural and tensile strength as
well as the ductility of the cement matrix. A volume fraction of Jess than 5% of carbon
fibers results in a strong reinforcing effect due to the exceptional mechanical properties
(Young's modulus, tensile strength) of the fibers. High performance PYA
(polyvinylalcohol) fibers are used to produce composites similar to asbestos reinforced
materials for asbestos replacement [2]. PYA composites with highest toughness and
strength can be produced, at the cost of somewhat lower E-modulus than that of the
asbestos cement composites [3]. The application of PP (polypropylene) fibers with their
modest mechanical properties is predominantly found as a secondary reinforcement with
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
From the processing point of view, the workability of the fresh cement mix containing
fibers is very important. Fibers, in particular carbon fibers, tend to stiffen the mix. The
problem of obtaining good fiber dispersion and consistency gets more complicated for
very low water to binder ratios (w/b < 0.25) and for the centrifugation process. One
solution consists in replacing a part of the cement by silica fume [4] and/or adding latex
dispersion [5,6]. Both additives improve the dispersion of carbon fibers in the fresh
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
For the centrifugation process, the fiber cement mixture is required to be thixotropic,
which means to flow during the spinning process and to get stiff after the centrifugation.
The fibers should move well during the centrifugation, in order to reach a homogeneous
distribution in the matrix. Care has to be taken that no segregation of any mixture
component occurs during centrifugation.
MATERIALS
A binder system contained Ordinary Portland Cement (CEM I 42.5 N, d50 = 24Jlm) and
. micro-fine cement (Portland cement blended with blastfumace slag with d50 = 2.8Jlm). A
superplasticizer based on polycarboxylate was used as a water reducing agent.
The fiber dispersant was a polymer dispersion based on styrenbutadien. Three types of
PAN (Polyacrylnitril) based carbon fibers with similar mechanical properties but
different surface properties were evaluated (CF no. 1-3) and pitch based carbon fiber (CF
no. 4). Furthermore, PYA fibers and PP fibers were investigated. The fiber properties are
listed in Tab. I. For comparison, silica fume instead of micro-fine cement was used in a
number of mixtures.
EXPERIMENTAL PROCEDURE
The composition of the mixtures was as follows: The binder was composed of 80 wt% of
CEM I 42.5 N and 20 wt% of micro-fine cement. Three different w/b ratios 0.18, 0.20
and 0.22 were used. The amount of superplasticizer ( 1.5, 2, 2.5, 3 wt% of binder) was
combined with each w/b ratio. They were mixed according to the European standard EN
196-3 for 3 minutes in a Hobart machine. First, the fibers were evaluated using a
The samples were demolded after 24 hours and afterwards cured in water. After five
days, samples of 15x 15x80 mm 3 were cut and after 7 and 28 days, the mechanical
properties on series of 15 specimens were measured.
RESULTS
The effect of the addition of micro-fine cement and superplasticizer on the mechanical
properties of the cement matrix was investigated. The addition of micro-fine cement to
the Ordinary Portland Cement improves the rheology of the fresh mix and the mechanical
properties of the matrix, in particular the flexural and compressive strength (Fig. 1). The
porosity of the matrix decreases, whereas its density and durability increase.
The influences of the superplasticizer and w/b ratio on the flexural strength are shown in
Fig. 2. The increase ofw/b ratio decreases the flexural strength, whereas a higher amount
of the superp]asticizer results in a decrease of the flexural strength. This may be due to an
increase of the particle packing density of the cementitious matrix caused by the
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Some mixtures (depending on the w!b ratio) show a slight decrease of the flexural
strength with age (Fig. 3.) The continuing hydration of non-hydrated cement grains
occurs by the diffusion of water which may develop internal stresses. As a result,
cracking may occur and strength and durability will decrease. Curing under water also
seems to induce internal stresses. Water transport is limited through such a dense matrix,
and inhomogeneous hydration may occur. This effect can be avoided by the application
of an adequate curing regime [8]. As shown in Fig. 4, the compressive strength increases
with age.
Different high performance carbon fibers were added to the binder matrix (Ordinary
Portland Cement blended with micro-fine cement) and the mechanical properties of the
composites were investigated. The w!b ratio was 0.20, the superplasticizer amount 3wt%
to binder, amount of fibers 2vol%. A latex dispersion was added at an amount of 2wt% of
binder.
As shown in Fig. 5, the flexural strength of the cement matrix can be increased by adding
carbon fibers. The amount of the improvement is known to depend on a number of
parameters, such as fiber length, orientation, fiber-matrix bond strength, as well as on the
mechanical properties of the fibers (2]. It was found that the flexural strength of the
composites show·n in Fig. 5 correlates with strength and Young modulus of the fibers:
PAN based carbon fiber CF no. 3 exhibited the highest strength and modulus (see fiber
properties in Tab. 1.), whereas the pitch-based carbon fiber CF no. 4 showed rather poor
mechanical properties. The somewhat better performance of CF no. 2 after 7 days is not
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
statistical significant.
A critical point seems to be the fiber-matrix bond. The sizing of the fibers affects to a
large extent the flexural strength of the composite. On the other hand, the fiber surface
treatment changes the mixing properties of the slurry. For example, the PAN based
carbon fibers no. I have a glycerin sizing, making mixing easy. However, the fracture
ESEM picture (Fig. 6) shows that there are apparently no large areas of contact between
carbon fibers no. I and the cement matrix. Contrary to this, the PAN based carbon fibers
The addition of different amounts of latex dispersion and their influence on the flexural
strength of the composite were investigated in a separate series. At the constant mix
proportion with w/b ratio 0.2, superplasticizer 3wt% of binder, carbon fibers (CF no. 2)
2vol. %, the amount of latex was varied from 0, I, 2, 3, 5, 15 and 20wt% based on binder.
The addition of latex is known to improve the fiber dispersion in the fresh cement mix
[9]. Poor fiber dispersion was observed when latex was totally absent. In addition, the
latex produces a major improvement in the bond strength [5]. In our case (Fig. 8), a
high amount of latex (more than about I Owt% to binder) modifies the cement matrix,
resulting in high flexural strength until a plateau is reached. A small amount of latex
(1 ... 5wt% to binder), however, mainly affects the fiber dispersion. The highest flexural
strength is obtained with 2wt% to binder. A somewhat higher latex content (3 ... 5wt %)
may delay the hydration by covering the cement grains, thus reducing the strength.
Centrifugal forming
The flexural strength obtained from experiments is depicted in Fig. II. In respect to the
special consistency of these mixtures, good fiber dispersion and flow properties are
necessary. The results of mix I a and lb show that the increase ofthe w/b ratio influences
only very slightly the flow properties of the mixture and does not improve the fiber
distribution and compaction ability during the spinning. The substitution of the micro-
fine cement through smaller silica fume particles has a positive influence on the fiber
dispersion and mixture flow properties. In addition the use of PVA fibers improves also
the flow of the mixture due to their hydrophilic surface and relative large diameter of
0.1mm, which results in a slight increase of flexural strength (mixes la and 2a).
Additionally, an increase of the spinning speed (mixes 2a and 2b) results in slight
improvements of the compaction and flexural strength. A very strong influence on the
flexural strength llas the addition of a higher amount of latex ( 15 ... 20wt% to binder) (mix
3a, 3b ). Latex is known to have a positive influence on dispersion of carbon fibers, to
lubricate the mix and improve its workability. Better fiber dispersion during the spinning
process was therefore expected. Furthermore, the bond between fiber and matrix is
improved [9). The use on the latex content shows significant differences between these
forming methods (Fig. 12).
CONCLUSIONS
The addition of micro-fine cement to ordinary Portland cement improves the rheological
properties of the fresh mixture and leads to a very dense cement matrix with very high
mechanical properties. A decreasing amount of superplasticizer causes an increase of the
flexural strength, but a decrease in compression. The addition of small volume content
(2vol%) of high performance short carbon fibers enhances significantly the flexural
strength of the composite. of PV A fibers in the mixes results in a decreased flexural
strength (mixes 3c and 3d). This is possibly due to inhomogeneities and segregation
effects.
Finally, a comparison between spun cast and conventionally cast samples in dependence
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
samples.
ACKNOWLEDGEMENT
The authors would like to thank Dr.G.P. Terrasi and G. Battig for continuous support and
encouragement. This work was supported by SACAC, Lenzburg, Switzerland, and by the
Swiss Commission for Technology under grant no. 4600.1.
REFERENCES
[I] German R., Particle packing charakteristics, Metal powder industries federation,
Princeton, ( 1989).
[2] Bentur A., Mindess S., Fiber reiriforced cementitous composites, Elsevier Applied
Science, England, ( 1990).
[3] Hikasa J., Genba T., Replacement of Asbestos in Reinforced Cement Products
Kuralon, PVA Fibres, Properties, Structure, Proc. Intern. Man-Made Fibres
Congress, Austrian, Chemical Institute, Austria, ( 1986).
[4] Bayasi Z., Development and mechanical characterization of carbon fiber reinforced
cement composites, PhD Thesis, Michigan, (1990).
[5] Larson B.K., Drzal LT., Soroushian P., Carbon-fibre cement adhesion in carbon
fibre reinforced cement composites, Composites, 21 (1990), pp. 205-215.
[6] Soroushian P., Aouadi F., Nagi M., Latex-Modified Carbon Fiber Reinforced
Mortar,ACI Materials Journal, Jan.-Febr. (1991), pp. 11-18.
[7] Burnett E.F.P., Constable T., Cover P., Centrifogated wire fiber reinforced
concrete,ACI SP 44, (1971), pp. 455-475.
[8] Kaufmann J., Winnefeld F., Hesselbarth D., Effect of the addition of ultrafine
cement and short fiber reinforcement on shrinkage, rheological and mechanical
CFNr.4 30 0.67 18 6
PVA 40 1.6 40 6
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Table 3: Composition of the mixtures "mix 1'". "mix 2... "mix 3..
=
Q..
25
:;
-20
.c
iii
~
..
5 15
-e 10
=~
£ 5
-20 ., ....
llif•.~·:
'! Gj
=4 j· ··················· "'''
-a- 7 days. wfb 0.18 '
--- 28 cla)1s, wlb 0.18
-&--7 da)!s, wlb 0.22 j
L~..~.~~..~~:~.
Fig. 2: Flexural strength at w/b ratio of 0.18 and 0.22 (CF 2 vol% ).
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Fig. 3: Flexural strength at wlb ratio of 0.18 after 7, 28 and 90 days (CF 2 vol% ).
l180
!. 1so I ·~·· . . . /__.. I
l;
~~
.c 140
5
c 120 + . -· ~····-··- ..,
- - 7 days, wlb 0.18
! 100 1I
:
~
80
60 ~
+ I
•-ft.- 28 days, wlb 0.18
.......... 90 clays, 'Nib 0.18
; 40 t
ae
0
20 1
o·~------~~~
. .
(,)
1 1.5 2 2.5 3 3.5
Superplastlcizer [wt"loiBinder]
CKohlen!ltofffuem
SGL
I:IIKohlenstofffaum
Zoltek
CKohlell$tofffuem
Tenax
OKohlenstofffa!lem
Kureha
7 28 90
Alter [days)
Fig. 6: Fracture surface of cement matrix reinforced with glycerine sized carbon fibers
CFno. I.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Fig. 7: Fracture surface of cement matrix reinforced with thermoset sized carbon fibers
CF no. 2 .
...... 34
ca
D. 32 .
!. 30
~
c
28 •• w.•.""'""""""'"'W··"'
-+-7days •
! 26
';j 24 .. ~~~~I)~!
"!22
:s
.; 20
u. 18 .. ·
0 2 4 6 8 10121416182022
Latex amount [wt"lo/Binder)
Fig. 9: Flexural strength of the composites with different fibers (CF, PVA and PP).
4.5
4.0 / Carbon Fibers
3.5
3.0
2.5
7..
..:.:: 2.0
't:l
=
=
1.5
1.0
"""
0.5
0.0
-0.5
0.0 0.5 1.0 1.5 2.0 2.5 3.0
Displacement JmmJ
Fig. I 0: Load displacement curves (maximum value, 28 days) of the composites with
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
..... 30 ,......................................................,...........................................................................................,
10 570rpm 669rpm
!_25 ---
= 20
-e
1:11
15
I ll
"E
...
10
~
Gl
5 l
u:: 0 - '--
_l_ '--· c-... ......_
1a 1b 2a 2b 3a 3b 3c 3d
Mix
0 2 4 6 8 10 12 14 16 18 20 22
Latex amount (wt%/binder)
Fig. 12: Flexural strength casted and centrifuged samples in dependency on the
latex amount.
SP-224-10
127
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C. P. Teo was a Research Scholar at the National University of Singapore, where she is
involved in exploring the use of microwave technology to speed up the production of
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
INTRODUCTION
slabs during microwave curing. The influence of such curing regimes on the strength and
durability of the prototype precast ferrocement secondary roofing slabs is also examined.
RESEARCH SIGNIFICANCE
The research reported in this paper deals with the use of discrete on-off
microwave curing regimes (switching on and off when the temperature monitored
reached a specified upper bound or lower bound value respectively) to limit the
temperature reached in the prototype precast ferrocement secondary roofing slabs during
microwave curing. By a series of on-off microwave application once the temperature of
the ferrocement slab reached a specified range, overheating can be avoided. Results
showed that ferrocement slabs of high early age strength and good durability can be
produced with the use of such microwave curing regimes.
EXPERIMENTAL PROGRAM
Objectives
In this study, ordinary Portland cement (OPC) and natural sand were used. The
mortar had a water-cement ratio by weight of 0.45 and a sand-cement ratio by weight of
2.0. The mortar was mixed in a container for I 0 minutes using an electric handheld
mixer. After placing the mortar into the moulds, the slab specimens were vibrated on a
vibrating table to achieve adequate compaction.
The same prototype mechanized industrial microwave curing system (Fig. 2),
developed by the Prefabrication Technology Centre in Singapore, was used throughout
this study. This microwave curing system is capable of a maximum power level of 6 k W
and generates 2.45 GHz fixed frequency microwaves. Output power can be controlled
from 10% to I 00% of the maximum power level for various time intervals as desired. For
this curing system, microwave penetration into the specimen occurs predominantly from
the top, trowelled surface.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
In this study, discrete on-off microwave curing regimes were used whereby the
microwave curing system was switched off manually when the temperature at a location
(amongst the locations chosen for temperature monitoring) reached the upper value of a
specified temperature range and switched on again manually when the temperature at all
the locations monitored were lower than or equal to the lower value of the specified
temperature range. This continued for a specified duration. In this way, the temperature
of the slab specimen, at all the locations monitored, would not exceed the upper value of
The designation used in this study for a slab specimen subjected to a particular
microwave curing regime is as such: (20)/lh/(60-55)-3 refers to the slab specimen which
was subjected to a microwave power level of 2 kW and having a delay time of 30 min.
When the temperature monitored on the slab reached 60°C, the curing system was
switched off and the slab specimen was allowed to cool down inside the curing chamber.
When the temperatures at all the locations monitored were lower than or equal to 55°C,
the curing system was switched on again. This continued for a total duration of 1 h.
Though the majority of the specimens were subjected to a constant power level
throughout the curing process, the use of a combination of power levels during
microwave curing was also investigated. For slabs subjected to such regimes, a specific
power level was used in the first half of the on-off curing duration. This was followed
with the use of a different power level in the second half of the on-off curing duration.
For example, slab specimen (30-06)/1 h/(65-60)-4 was first subjected to a power level of 3
kW after a delay time of 40 min. The specified temperature range was 60 oc to 65 °C.
After 30 min, the power level was lowered to 600 W and this power level was used for
the second half of the curing duration.
Temperature Monitoring
Unshielded type 'T' thermocouples were directly inserted into the specimens to
chart the temperature variation with time of the slab specimens. These thermocouples
were placed at 5 different locations (denoted as 1, 2, 3, 4 and 5) and at 2 different depths
(either near the top, exposed surface (T) or near the bottom, mould face (B)). The
locations of the embedded thermocouples are shown in Fig. 1(a). In a companion paper, it
was found that curing using the present microwave curing system produces spatial
temperature non-uniformity, with the temperature of the slab near the edges registering a
higher rate of heating and a larger temperature rise as compared to areas near the centre
of the slab [12]. As such, locations near the edges of the slab were chosen for temperature
monitoring in an attempt to limit the temperature within the entire slab to a specified
temperature range. Temperature measurements were recorded with the use of a data
logger at intervals of one minute. The type 'T' thermocouples used can measure
temperatures ranging from 0°C to 350°C with an accuracy of± 1°C.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
The initial surface absorption test is one of the quality control tests that have
been used for conventional precast ferrocement secondary roofing slabs. This test is
described in BSI881: Part 208: 1996. It is a low-pressure assessment of the water
absorption of the mortar and gives an indication of the near surface quality and hence, the
durability, of the ferrocement slab specimens. The rate of flow of water per unit area into
the specimen through the surface at 10 min, 30 min and 60 min from the start of the test
was obtained. The entire test was carried out under a constant applied head of (200 ± 20)
mm and performed on the trowelled face of the ferrocement slab specimens.
For !SAT, the prototype ferrocement slabs were demoulded a day after casting.
The slabs were then moist cured by spraying with water and covering with wet hessian
for three days. Following which, the slabs were air-dried under indoor ambient laboratory
conditions till the lSA Twas performed at 28 days.
Slabs were tested at 4.5h and at 28 days. Slabs subjected to patch loading at 4.5h
were demoulded just prior to testing. Slabs which were subjected to patch loading at 28
days were demoulded I day after casting and moist cured for a further 3 days under wet
hessian. Thereafter, they were air-dried under indoor ambient laboratory conditions till
the time of patch load test.
All slabs subjected to the patch load test were cut along the failure section. The
actual position of the reinforcement as well as the thickness of the slabs at the failure
section were measured with the use of a venier caliper. The theoretical load carrying
capacity of each ferrocement slab specimen under central patch loading was then
computed from the slab thickness, the effective depths of the reinforcement, properties of
the reinforcement as well as the appropriate compressive strength of the mortar.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Fig. 3 shows the typical temperature variation with time of ferrocement slab
specimens subjected to discrete on-off microwave curing regimes at constant power
levels. From the temperature profiles, information on the total energy consumed as a
result of microwave curing, the initial heating rate, and the heating and cooling pattern
can be obtained for individual slab specimen. The typical heating-cooling patterns for
slab specimens subjected to such microwave curing regimes are shown in Table I. In
general, the number of on-off curing cycles increased with increasing microwave power
level. This is due to the rapid heating that is associated with a higher microwave power
leveL
Fig. 4 shows the initial heating rates for the slab specimens subjected to the
various power levels and temperature ranges. These values were calculated using the
average temperature rise registered at the hottest location during the first cycle of
microwave application. It can be seen that the initial heating rates increase with an
increase in power level. In addition, it was found that the variance in the initial heating
rate increased with increasing power level. This implies that the lower power level results
in a more consistent temperature profile. Fig. 5 also shows that for the same power level,
the use of a lower temperature range produced a higher initial heating rate. This can be
attributed to the use of the average temperature rise of the hottest location (amongst the
locations monitored) for the computation of the initial heating rate and the finding that
the rate of temperature rise decreases with increasing microwave curing duration.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Fig. 7 shows the ISA T results for tests conducted on the trowelled face of the
prototype ferrocement slabs. It can be seen that the majority of the slabs passed the
requirement specified by HDB as well as that suggested by Levitt [ 15]. Slab specimens
(20)11 h/(60-55)-3 and (30)/1 h/(60-55)-3 had very high ISA T values. Although all slab
specimens were covered with a microwaveable film before, during and after microwave
curing, the film for these two specimens could have come off the surface during
microwave curing, leading to a significant amount of moisture loss from the surface of
the slab at the high temperature of 55 oc to 60 °C and a poorer near surface quality. It is
noticed that slab specimens (20)/1 h/(50-45)-3 and (30)/1 h/(50-45)-3 had ISA T values
which were slightly higher than the !SAT values specified by HDB. Due to the relatively
higher power level and lower temperature range used of 45 oc to 50 °C, these two
specimens ((20)11 h/(50-45)-3 and (30)/1 h/(50-45)-3) were exposed to microwaves for
Effect of the use of a combination of power levels on the strength and near surface
quality of ferrocement slabs
The 4.5h ultimate patch load capacities of slabs subjected to variable power
levels are shown in Fig. 9. There is no significant difference in terms of early age strength
for (30)11 h/(65-60)-4 and (30-1 0)/1 h/(65-60)-4. However, it appears that the use of a
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
much lower microwave power level during the second half of the process (as is the case
for (30-06)/Ih/(65-60)-4) is insufficient to induce as rapid an early strength gain as the
use of a higher power level (I kW or 3kW).
The 28-day theoretical and experimental ultimate patch load capacities of slabs
subjected to variable power levels are shown in Table 2. The theoretical values were
calculated in a similar manner as that for the 28-day theoretical load values of slab
specimens subjected to constant power levels. The experimental ultimate load values for
slabs subjected to variable power levels were also found to be higher than their
corresponding theoretical load values and failed at ultimate load values which were
higher than the required factored load value.
The ISA T results for the set of specimens subjected to variable power levels are
presented in Fig. 10. A comparison of the ISAT values for (30)/Ih/(65-60)-4 and (30-
IO)/Ih/(65-60)-4 seems to indicate that an appropriate reduction of power level in the
second half of microwave curing (from 3kW to I kW) may lead to a slight improvement
in near surface quality of mortar. The use of a very low power level of 600 W in the
second half of microwave curing could lead to a lower amount of free water loss, leading
to a poorer near surface quality of the mortar.
The use of discretized on-off microwave curing regimes in achieving high early
age strength and good durability of prototype precast ferrocement slabs is explored in this
study. Results showed that such curing regimes can be used for microwave curing of
ferrocement slabs .. By limiting the temperature reached in the slabs, the occurrence of
extreme temperatures and overheating can be prevented. The microwave cured slabs
showed much higher 4.5h patch load strength when compared to normal cured slab,
without any strength loss at 28 days. In addition, durability of the ferrocement slabs
subjected to discretized on-off microwave curing regimes need not be compromised. The
use of an appropriate reduced power level during the later stage of the microwave curing
process can lead to a marginal improvement in durability of the slab with no significant
difference in the early age strength.
ACKNOWLEDGEMENTS
REFERENCES
(4) Bella, S. B., Lai, S. and M. Pinna. Microwaves for the hyperaccelerated curing
of concretes, Betonwerk + Fertigteil-Technik., Issue 12, I 994.
(5) Lau, J. M., Tan, K. B., Oh, L. S., Tan, C. K., Ong, K. C. G. and S. Sabesan.
Microwave accelerated production of ferrocement slabs- An industrial
perspective. In Proc. Fifth CANMET/ACI International conference on Recent
advances in concrete technology, July-August 200 I, Singapore, pp.5 I 7-535.
(6) Thostenson, E.T. and T.-W. Chou. Microwave processing: fundamentals and
applications, Composites: Part A Applied science and manufacturing, Vol. 30,
No.9, pp. 1055-1071. 1999.
(7) Sohn, D. and D. L. Johnson. Microwave curing effects on the 28-day strength of
cementitious materials, Cement and Concrete research, Vol. 29, pp. 241-247.
1999.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
(9) Wu, X., Dong, J. and M. Tang. Microwave curing technique in concrete
manufacture, Cement and concrete research, Vol. 17, pp. 205-210. 1987.
(11) Mak, S. L., Shapiro, G. and T. Son. Accelerated heating of concrete with
microwave curing. In Proc. Fourth CANMET/ACIIJCI International conference
on recent advances in concrete technology, June 1998, Tokushirna, Japan, pp.
531-542.
(12) Teo, C.P., K.C.G. Ong, C.H. Shum and S.T. Tan. Accelerated heating of precast
ferrocement secondary roofing slabs using microwave energy. In Proc. 2ih
Conference on Our World in Concrete and Structures, 29-30 August 2002,
Singapore, Vol. XXI, pp.589-596.
(13) Sabesan, S.. Microwave curing of precast slabs. M.Eng. Thesis, National
University of Singapore. 2001.
(14) Taylor, H.F.W, C. Famy and K.L. Scrivener. Delayed ettringite formation,
Cement and Concrete research, Vol. 31, pp. 683-693.2001.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
(15) Levitt, M. The ISAT- A non-destructive test for the durability of concrete,
British Journal ofNDT, pp. 106-112. July 1970.
List of notations
1 in = 0.0254 m = 25.4 mm
I kip-force= 4448 N
temperature (F)= 1.8[temperature (°C )] + 32
Table l: Typical heating-cooling patterns l(lr slab specimens subjected In discrctizc(l on-off microwave curing regimes
...
(20)/lh/(60-55)·3
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(10)/lh/(50-45)-3 23.0 23 75 15 II 4. 15 4 II 60 3
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(30)/lh/(65-601-4
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Fig. l(a): Plan view of ferrocement secondary roofing slab showing locations of
embedded thermocouples
Copyright American Concrete Institute
Provided by IHS under license with ACI Licensee=University of Texas Revised Sub Account/5620001114, User=erur, ert
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Fig. I (b): Sectional view of ferrocement secondary roofing slab (section A-A)
Fig. 2: The prototype mechanized industrial microwave curing system used and the
temperature monitoring of a slab specimen using a data logger
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35
Fig. 3:Typical temperature variation with time for slab specimens subjected to constant
power level [plotted for slab specimen (l0)/2h/(60-55)-3]
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levels and temperature ranges
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Fig. 6:Nonnalized 4.5h patch load strength of ferrocement slabs subjected to various
microwave curing regimes
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load strength of ferrocement slabs
0.12
- (30)/lh/(65-60)-4
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SP-224-11
because it is more durable than conventional wood products. However, concerns exist
about the freeze-thaw durability of the material due to its laminated structure and high
porosity. To overcome these weaknesses, some manufacturers have begun to press the
material after it is formed. The objective of this work is to evaluate the effects ofthis new
processing on the durability of the FRCB. Three commercially-available FRCB products-
two that had been pressed and one that had not - were subjected to accelerated freeze-
thaw cycling according to a modified version of ASTM Standard C1185. The flexural
strength, interlaminar bond (ILB) strength and porosity were measured. The results
indicate that pressure might improve the ILB and flexural strength ofthe FRCB after
freeze-thaw testing. However. porosity is not affected by pressure after freeze-thaw.
145
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INTRODUCTION
FRCB has been used in the United States building industry since the 1980's for
residential applications such as siding, roofing tile, backerboard and fences (1 ). It was
the fastest growing market in the 1990's and by 2005, fiber-reinforced cement might gain
up to 25 to 30% of the siding market (2). The material is increasing in consumer
popularity because it is more fire-resistant, can better withstand fading, is not susceptible
to insect attack and is more durable than conventional wood products.
FRCB are thin sheet, laminated elements that are produced by the Hatschek
process and autoclave-cured. The material consists primarily of silica, cement, cellulose
fibers and water. Figure 1 shows the dry composition of the FRCB, by weight.
petrification of the fibers and an increase in the fiber-matrix bond (5-10). The dynamic
modulus increased for wood-fiber reinforced cast composites that were exposed to
accelerated aging, due to the densification of the material (11 ). Both moisture absorption
and porosity were found to be indicative of freeze-thaw durability. Materials with high
moisture absorption capacities were less durable (12). Porosity studies indicated that if
the pores were either small enough to limit the ingress of water, or large enough to allow
the flow of water and the expansion of ice during freeze-thaw cycling, then Jess damage
would occur ( 13).
While the previous research provides useful inforn1ation about the durability of
cellulose-reinforced cementitious materials, applying the work to FRCB is difficult due to
its unique characteristics. Freeze-thaw tests need to be conducted on actual
commercially-produced Hatschek materials to truly understand the material's durability.
Work has shown that pressure improves the properties of cellulose fiber-reinforced
RESEARCH SIGNIFICANCE
EXPERIMENTAL WORK
Materials
Three commercially-available FRCB materials were investigated. All materials
were unsealed 8 mm (5/16 in) thick, Hatschek produced FRCB with cellulose fibers that
had been autoclave-cured. Materials A and B were pressed, Material C was not pressed.
Neither the magnitude, nor the method of application of the pressure treatments, is known
for Materials A and B. In addition, the exact composition of the FRCB, as well as the
details of the formation process, are unknown for all of the materials.
Freeze-Thaw Cycling
Materials were subjected to as many as 300 accelerated freeze-thaw cycles
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
according to a modified version of ASTM C 1185 "Standard Test Methods for Sampling
and Testing Non-Asbestos Fiber-Cement Flat Sheet, Roofing and Siding Shingles, and
Clapboards (18)." Cycling was conducted in a Humbolt freeze-thaw chamber. Saturated
samples were subjected to temperatures ranging from 20°C to -20°C. Each cycle took
approximately 12 hours. -
Mechanical Properties
Flexural performance, including strength and toughness, and ILB strength were
evaluated for each FRCB, both before and after freeze-thaw conditioning. Three
replications were made for each parameter evaluated.
displacement control rate was 0.00381 mm/sec. Load and deflection data was recorded
and converted to obtain flexural stress vs. deflection curves. From these curves, flexural
strength (the maximum flexural stress attained) and flexural toughness (the area under the
load vs. deflection curve up to 20 % of the peak load in the post-peak) were determined.
Microstructural Properties
Moisture absorption capacity, before freeze-thaw cycling, and porosity, both
before and after freeze-thaw, \Vere evaluated to determine the microstructure of the
FRCB.
ILB -- Figure 8 presents the ILB for the three materials. Material C, the
unpressed material, has the lowest ILB, suggesting that pressure might improve ILB.
However, it is important to note that there is a significant difference in the ILB strengths
of the two pressed FRCB. Manufacturer A's ILB is 300 kPa larger than Manufacturer
B's ILB.
amount of strength after only 50 cycles, but they are still more than 50% stronger than the
unpressed product. These results suggest the pressure treatments do improve flexural
performance after freeze-thaw cycling.
ILB Strength -- As can be seen in Figure 13, the ILB of all materials is severely
reduced after only 50 freeze-thaw cycles, demonstrating the susceptibility of the FRCB to
freeze-thaw damage due to its laminated structure. Both of the pressed products have
fairly constant and similar ILB strengths from 50 cycles and on. However, after 50
cycles, the ILB of Material C can no longer be measured because it is delaminating on its
own.
Visual observations during the three-point bend test also confirm the severe
reduction in ILB for the unpressed FRCB. Figure 14 clearly shows the interlaminar shear
failure of Manufacturer C's FRCB after 200 freeze-thaw cycles, while delamination is
not observed for the pressed material. Up to 300 freeze-thaw cycles, such a failure was
not observed for Manufacturer A's or B's FRCB. These results suggest that ILB is
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Thin Reinforced Cement-Based Products 151
improved by pressure after freeze-thaw cycling, although it may be the interlaminar shear
strength that is significant. Some preliminary tests were run to determine the interlaminar
shear properties of the FRCB by a short-span three-point bend test. However, due to the
small thickness, interlaminar shear failure could not be achieved.
DISCUSSION
Previous work conducted by the authors showed that pressing FRCB improved
the mechanical properties before freeze-thaw testing when commercially-produced FRCB
made by the same manufacturer was pressed at a range of pressures (19). Flexural
strength and toughness increased due to an improvement in the fiber-matrix bond and the
possible densification of the material. In addition, ILB strength was significantly higher
and porosity was decreased. Such a clear improvement in properties is not seen here,
probably due to differences in processing.
After freeze-thaw conditioning, the results indicated that flexural strength was
not improved by pressure, but that 1LB strength was improved. ln addition, it was shown
that porosity was not affected by pressure. In this commercial comparison, an
improvement in ILB due to pressure after freeze-thaw cycling is seen, as is the lack of
improvement in porosity. However, flexural strength did appear to be improved in the
present work from the pressure treatments. Again, this highlights the difficulty in
comparing commercially-produced materials due to differences in processing parameters.
The magnitude and method of pressure applications are unknown as are the exact details
of the board formation and composition.
2. ILB tensile strength does not appear to be affected by pressure before freeze-
thaw cycling, but it is after freeze-thaw cycling. The unpressed material
delaminated after 100 freeze-thaw cycles, whereas the pressed materials
remained intact up to 300 cycles.
4. The effects of pressure on the porosity of FRCB is not clear, probably due to the
differences in board composition and manufacturing processes.
It is important to note that the material tested here was subjected to extreme
conditions. The FRCB was both unsealed and unpainted. In the field, these two layers
would be present to protect the FRCB from the ingress of water. If water cannot get into
the material, deterioration will not occur. Once these layers become damaged, due to
handling or construction, freeze-thaw damage will occur. In addition, the material was
completely saturated throughout testing, whereas in the field saturation may not occur
and, even if it did, the material would eventually dry out.
determine.
REFERENCES
111
I. Kurpiel, F., "Rapid Growth of Cement-Cellulose Fiberboard (CFB)." 6
International Inorganic-Bonded Wood and Fiber Composite Materials Conference
( 1998): 55-60.
2. Kurpiel, F., "Diffusion of Cellulose Fiber-Cement Siding and Roofing into North
America." 5111 International Inorganic-Bonded Wood and Fiber Composite Materials
Co'!ference ( 1996).
3. Balaguru, P. and Shah, S.P. Fiber-Reinforced Cement Composites. McGraw-Hill,
Inc., New York, USA, 1992.
4. Bentur. A. "Fiber-Reinforced Cementitious Materials." Materials Science of
Concrete (1989): 223-283.
5. Akers, S.A.S., Crawford, D., Schultes, K. and Gerneka, D.A. "Micromechanical
Studies of Fresh and Weathered Fibre Cement Composites. Part 1: Dry Testing."
International Journal of Cement Composites and Lightweight Concrete II (2) (May
1989): 117-124.
6. Bentur, A. and Akers, S.A.S. 'The Microstructure and Aging of Cellulose Fibre
Reinforced Cement Composites Cured in a Normal Environment." International
Journal a_{ Cement Composites and Lightweight Concrete II (2) ( 1989): 99-107.
7. Bentur, A. and Akers, S.A.S. "The Microstructure and Aging of Cellulose Fibre
Reinforced Autoclaved Cement Composites." International Journal of Cement
Composites and Lightweight Concrete II (2) ( 1989): 111-115.
8. Pirie, B.J., Glasser, F.P., Schmitt-Henco, C. and Akers, S.A.S. "Durability Studies
and Characterization of the Matrix and Fibre-Cement Interface of Asbestos-Free and
Fibre-Cement Products." Cement and Concrete Composites 12 ( 1990): 233-244.
9. Soroushian, P., Shah, Z. and Marikunte, S. "Use of Kraft and Recycled Fibers in
Fiber-Cement Products." 3"1 International Inorganic-Bonded Wood and Fiber
Composite Materials Conference (1993): 9-19.
10. Tait, R.B. and Akers, S.A.S. "Micromechanical Studies of Fresh and Weathered
Fibre Cement Composites. Part 2: Wet Testing." International Journal of Cement
Composites and Lightweight Concrete II (2) (May 1989).
II. Soroushian, P., Marikunte, S. and Won, J. "Wood Fiber-reinforced Cement
Composites Under Wetting-Drying and Freezing-Thawing Cycles." Journal of
Materials in Civil Engineering 6 ( 1994): 595-611.
12. Nakamura, M., Fukushima, T. and Kamitani, M., "Microstructure and Frost
Durability ofCementitious Building Materials Reinforced with Non-Asbestos
Fibers." Journal of the Ceramic Society ofJapan I 00( 6) ( 1992): 858-863.
13. Venia, G. "Freeze-Thaw Perfonnance of Glass and Cellulosic Fiber-reinforced
Cementitious Boards." Proceedings Third International Conference on Concrete
Under Severe Conditions (2001 ): 522-529.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
List of Notations
Cement
38%
Silica'
53%
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
La~·cr ~ cvmpns~d
(tfmonol.a'\:"
• •
FRCB Specimen
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Deflection (mm)
~~------------·--------------------------,
.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Manufacturer A
~
~ 1500
ic
..
1:
ID
1000
::!
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
SOD
40 .---------
Manufacturer B
E
0
lO
a.
."e2 "
0
..e "
:J
0
>,
...
Freeze·thaw cycles
... ... ... ...
Figure 12: Flexural Strength After Freeze-Thaw
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
·~··················································································
....
·······························•···················•
Manufacturer A Manufacturer B Manuf.ctul1tr C
....
~ ....
-.,.
r:
5
= ...
= ...
'"
Figure 13: ILB Strength After Freeze-Thaw
Figure 14: FRCB During Three-Point Bend Test After 200 Freeze-Thaw Cycles
(a) Manufacturer A (b) Manufacturer C
Manufacturer A
.,
§ •...
0
> •oc1otes
f 8TOOCycln:$.
g_ ~-;
..,"'
.s
e""
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t,)
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--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
SP-224-12
In the present paper, fracture behavior of medium, high and very high strength mortars
reinforced with hybrid fibers was experimentally studied by using contoured double
cantilever beam specimens. Different combinations of small steel fibers and fibrillated
polypropylene micro-fibers are investigated. These composites are very suitable for thin
sheet products such as roofing sheets, tiles, curtain walls, cladding panels, permanent
fonns, etc.
Aim of the paper was to study the influence of matrix strength, fiber type and fiber
combinations on the fracture toughness of the resulting fiber reinforced mortars.
Results indicate that some combinations of fibers and matrix strengths exhibit a higher
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
161
Copyright American Concrete Institute
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INTRODUCTION
In the new breed of high performance cement based
materials, there has been great interest lately in the
development of Hybrid Fiber Reinforced Cementitious
Composites (HyFRCC) that combine different types of fibers
in a cementitious matrix [1]. The aim is to take
simultaneous advantages from the material properties of
each fiber type (multi-functionality) and from their
interaction (synergy) to optimize the mechanical and
physical performances of the composite [2-5].
A promising hybrid system of fibers concerns a combination
of steel fibers and polypropylene fibers. The former are
used to enhance strength and toughness properties [6] such
as flexural (modulus of rupture), shear [7), impact [8) and
fatigue strength [9]. The latter are commonly used to
reduce shrinkage cracking [10,11] and permeability [12] of
concrete; in fact, bundles of fibrillated polypropylene
fibers open during concrete mixing and separate into
millions of multistrand filaments that are able to mitigate
crack formation due to plastic shrinkage. Vondran and
Webster [12] found that a volume fraction (Vf) of 0.2% of
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
the crack pattern by transforming the macro cracks into a
network of smaller and narrower cracks.
A combination of small synthetic (polypropylene) fibers and
steel fibers could be used to yield a hybrid system that
may prove to be an interesting material for thin concrete
or mortar overlays for structural repair and retrofitting
[15]. The enhanced toughness, the reduced plastic shrinkage
cracking and the lower water-permeability could be highly
advantageous in producing a durable thin repair or product.
The use of short fibers in substitution of conventional
reinforcement (reinforcing bars or welded mesh) may allow a
reduction of labor costs.
In the present work, fracture behavior of thin mortar
layers with a combination of small steel and polypropylene
fibers is experimentally investigated by performing
Countered Double Cantilever Beam test (CDCB) [16].
Furthermore, the research aims to study the influence of
matrix strength on the mechanical behavior of concrete with
hybrid fibers.
The chosen amount of polypropylene fibers was higher than
the amount commonly used for controlling plastic shrinkage
cracking (Vf=0.1-0.2%), with the aim of improving the mortar
toughness. A small thickness of the specimens was adopted
to better reproduce the fiber distribution in thin
cementitious elements.
Specimens with a relatively large size were tested to
reduce the size effects and to allow for a simpler
determination of the mortar toughness.
In order to better understand the fracture behavior and to
determine the constitutive laws for the materials adopted,
the experiments were simulated by Finite Element analyses
based on Non Linear Fracture Mechanics (NLFM) [ 17] .
MATERIALS
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Stress Intensity Factor is independent of the crack length
and the specimen allows for a stable crack propagation
under constant load [18, 19]. The CDCB specimen also leads
to more reliable compliance measurements since the
displacements are large and the critical loads are small
compared with tests on other types of specimen [ 18] . A
groove reduced the thickness of the middle section from 40
to 15 mm to better control the crack path (Figure 2).
Four CDCB specimens were prepared for each material. The
direction of casting was perpendicular to the surface of
the double cantilever beam specimen and the fresh mortar
matrix was poured while the mould was externally vibrated.
The load was applied vertically by the hydraulic jack of
the Instron machine with a stroke rate of 0.1 mm/min on a
steel wedge placed between two rollers at the top of the
specimen (Figure 3a). The Splitting Load (SL) is the
horizontal components of the total load [19] (Figure 3b).
In order to limit the vertical component of the applied
load that may influence the fracture
behavior of the specimen, the angle of the wedge was chosen
equal to 15° [20]. The coefficient of friction between
the wedge and the rollers was ignored since the wedge
(l)
MODELING
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Thin Reinforced Cement-Based Products 167
model, the stress concentration present at the groove tip
was neglected (Figure 9) .
Figure 10 shows the mesh adopted for the CDCB specimens.
The stress-crack opening displacement relationships -w)
were approximated with bilinear laws herein (Figure 8). The
tensile strength of this law ( fct) was determined from the
experimental compressive strength according to the CEB
Model Code 90 [24). The experimentally determined fracture
energies (GF) (Figure 7) were used as input data. The other
parameters, namely the stress at the knee point ( 1 ) , the
crack opening at the knee point (w 1 ) were identified by an
inverse analysis based on the best fitting procedure [25).
Eventually, critical crack opening (Wcr> was determined.
Figure 11 shows a typical comparison between the numerical
and the experimental curves for the steel fibers (Vt=1%) in
the High Strength Mortar. The same figure exhibits the
deformed mesh at different loading stages as well as the
distribution of cohesive stresses over the ligament length.
It should be noticed that the crack tip opening
displacement at the peak load is around 0.14 mm and that
the fracture process zone involves most of the ligament
length. The large crack tip opening displacement explains
why, in the adopted specimens, the peak load is more
related to the fiber bridging mechanisms than to the matrix
strength.
The numerical and the experimental curves of the Splitting
Load versus the CMOD are plotted for all the MSM materials
in Figure 12; notice the excellent agreement between the
different curves. The same results are reported in Figures
13 and 14 for the HSM and VHSM mortars, respectively.
The best fitting parameters of the bilinear softening laws
as well as the modulus of elasticity are summarized in
Table 5.
CONCLUDING REMARKS
Acknowledgements
The authors would like to thank Mr. David Woomk for his
diligence and his enthusiasm in preparing the experimental
tests as well as the helpful support of the technicians of
University of British Columbia (Canada).
Thanks are also due to the Dow Chemical Company and the
Bekaert for supplying respectively the polypropylene and
the steel fibers.
REFERENCES
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
ASCE, 107, 1981, 1155-1171.
[19] Banthia, N and Genois, I. 'Controlled crack growth
tests for optimization of micro-fiber reinforced cement
composites' ACI Special Publication, 201, 2000, 55-74.
[20] Brhtiwiler, E. and Wittmann, F.H. 'The wedge splitting
test, a Method of Performing Stable Fracture Mechanics
Tests' Engineering Fracture Mechanics, 35, 1990, 117-126.
[21] Bentur, A., Mindess, S. and Skalny, J. 'Reinforced of
normal and high strength concretes with fibrillated
polypropylene fibers' International Conference 'Fibre
Reinforced Cements and Concretes: Recent Developments', 18-
20 September, Cardiff, UK, 1989, 229-239.
[22] Wang, Y., Li, V. C. and Backer S. 'A statistical
tensile model of fibre reinforced cementitious composites'
Composites, 20(3), 1989, 265-274.
[23] Reich, R. W., Cervenka, J. and Saouma, V. E. 'Merlin,
a three-dimensional finite element program based on a
mixed-iterative solution strategy for problems in
elasticity, plasticity, and linear and non linear fracture
mechanics' EPRI, Palo Alto, CA, 1994;
http://civil.colorado.edu/-saouma/Merlin.
[24] CEB 'Model Code 90' CEB Bulletin, N° 213-214, 1993.
[25] Roelfstra P. E. and Wittmann F. H. 'Numerical method
to link strain softening with failure of concrete' Fracture
Toughness and Fracture Energy of Concrete, Amsterdam, 1986,
163-175.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
&:' 1400
:!
£
t:l>
c
~
~ 800
"gj
~
~
20.0
00 VHSM
pol)'1%
Hyb.W
1·1.
(~ (bl
Figure 2. Schematic of a Countered Double Cantilever Beam specimen (a); schematic
crack path (b).
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
(a) (bl
Figure 3. A CDCB specimen under loading (a); load transmitted by the steel wedge (b).
CMOO[mm]
Figure 4. Splitting Load vs. CMOD curves experimentally determined from MSM fiber
reinforced mortars.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
0 2 4 e
CMOO!mmj
Figure 5. Splitting Load vs. CMOD curves experimentally determined from HSM fiber
reinforced mortars.
0.5%-- • 0.5%
()
0 2 4 6 8
CMOO[mm]
Figure 6. Splitting Load vs. CMOD curves experimentally determined from VHSM fiber
reinforced mortars.
OMSM(OO~)
• HSM {95 Mpa)
Ill! 1/HSM 1115 Mpo)
~
o• .. ~ ~~~..
Plain mort3r s1eal 0 5% otae"'1'4
. r•.. . . . . . l..l
poly 0.5% poly 1% hyb!id
f.,
,
I
;~-,_E.
I
I
+
(jb
Thin Reinforced Cement-Based Products
f.,
<>•
-- ·-----~-----)>
175
6 w, Wcr W
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1.C
- E>rperimootai CUfW$
·--·• Nwmofleaf wrve
0.0
CMOCl[mmj
Figure 11. Numerical and experimental curves in terms of Splitting Load and CMOD for
the Medium Strength Mortar with 1% of steel fibers.
4
CMOOjmm]
Figure 12. Experimental and numerical Splitting Load versus CMOD curves for MSM
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
mortars.
/~'-5~ -+0.5~
I
G
0
CMOOimm]
•
Figure 13. Experimental and numerical Splitting Load versus CMOD curves for HSM
mortars.
. ·.··.<
~· .. ··,.
4
CMOO{mm)
Figure 14. Experimental and numerical Splitting Load versus CMOD curves forVHSM
mortars.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
SP-224-13
by B. Mobasher
Synopsis: Techniques for modeling the mechanical response of thin section cement-
based composites intended for structural based applications are presented using a
micromechanical approach. A layer model is used and the property of each layer is
specified based on the fiber and matrix constituents in addition to the orientation and the
stacking sequence in each lamina. The overall axial and bending stiffness matrix is
obtained using an incremental approach which updates the material parameters. The
simulation is conducted by imposing an incremental strain distribution, and calculating
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
the stresses. A stress based failure criterion is used for the three failure modes of
initiation of cracking, ultimate strength of matrix, and ultimate strength oflamina. As the
cracking saturates the specimen, it results in a gradual degradation of stiffness. A
continuum damage model based on a scalar damage function is applied to account for the
distributed cracking. The model predicts the response of unidirectional, cross ply and
angle ply laminae under tensile loading in longitudinal and transverse directions. The
load-deformation responses under tension and flexure are studied. It is shown that by
proper selection of modeling approach, parameter measurement, and theoretical modeling,
a wide range of analysis tools and design guidelines for structural applications of FRC
materials are attainable.
180 Mobasher
ACI member Barzin Mobasher, Ph.D. is an associate professor of civil and environmental
engineering at Arizona State University. He is a member of ACI Committee 544, Fiber
Reinforced concrete, 549 Thin Reinforced Products, and 446, Fracture Mechanics. His
research activities include fiber reinforced concrete, toughening mechanisms, and
modeling of durability.
Introduction
initiation and generation of parallel crack formations and the strain softening range. The
load carrying capacity of the matrix phase in each lamina decreases after cracking and the
stiffness of the lamina degrades such that the composite response asymptotically
approaches the levels predicted by the ply discount method. An exponential strain
softening response for matrix in the post cracking range is considered and for a lamina
with its matrix phase in unloading mode, a proportional unloading for the stresses in
other directions is assumed.
A general approach for the treatment of composites made with various fiber and matrix
materials as continuous and cross ply laminates is used. Each lamina is modeled as an
orthotropic sheet in plane stress with direction "1" representing the longitudinal direction
of alignment of fibers, and direction 2 representing the transverse direction as shown in
Figure I. Parameters hk and hk+l represent the coordinates and top and bottom of lamina
number "k" in a stack of "n" laminates. Angle El represents the orientation of fiber
direction with respect to the direction of application of load, hence a 0 degree lamina
represents the load being applied in a direction of the fibers, and 90 degree lamina
represents the load being applied transverse to the direction of the fibers. The fiber is
assumed to be linear elastic, and the effect of fiber volume fraction is incorporated in the
elastic properties of each lamina. Based on the layer model, the property of each layer is
specified using the material properties and volume fraction of components. Using the
stacking sequence the overall axial and bending stiffuess matrices are obtained. The
equivalent elastic stiffness of each lamina is obtained using the sum of the contributions
from each phase to the overall value. Depending on the state of strain (normal and shear)
In the elastic range the rule of mixtures for longitudinal modulus and the Halpin-Tsai [ 1)
estimates oftransverse modulus is applicable. This zone is terminated by initial cracking
of the matrix phase using a stress-based criterion [2) at stress levels designated as au. lt
is furthermore assumed that the load carrying capacity of the matrix is not exhausted
completely and as microcracking in the composite takes place, the stiffness degrades
according to a single scalar damage parameter 'ro'. The form of the evolution of the
damage parameter as a function of strain is expressed as:
(1)
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
The form of the function in equation I was used based on a model proposed by Karihaloo
and Fu [3] is used to formulate the damage vs. strain relationship as shown in Figure 2.
This empirically based damage evolution approach is used in conjunction with a model
by Horii [4] and also Nemat Nasser and Hori [5] to estimate the degradation of stiffness
as a function of strain as shown in Equation 2. In this equation, the damage parameter Ql
is calculated at various strain levels with constants a, p, Hand ro 1 as shown in Equation
2. The values of these constants are of a= 0.16, p= 2.3, and ro 1 = £ 11 H = 0.05, where H
is the gage length of the specimen used. au and Eu = o 11 /Emo were used to represent the
ultimate strength, and strain at failure under uniaxial tension for the paste in an
unreinforced condition. Within the cracked matrix range, as the strain is increased, the
stiffness of the matrix decreases in terms of a damage evolution law as proposed by Horii
et al.[4]. The stiffness defined as a function of damage is Em(ro) and expressed m
equation 2 as a function ofuncracked matrix elastic modulus Emo:
E,(m) = 16 ~
(2)
1+ - m(l- v- )
3 m
This value is used in the rule of mixtures to obtain the longitudinal stiffness ofthe lamina
in the longitudinal direction E 1(ro), as defined in Equation 3. Calculation of the transverse
modulus E2 and v12 were achieved using the Halpin-Tsai equations as shown in Equation
s
2. The value of was set equal to 2 in the present study. This is because, the fabric used
is circular [6).
182 Mobasher
E1(w) =E1 V1 + Em(w)(l- V1 ) (3)
(4)
The stress in the matrix phase beyond the elastic range is calculated incrementally as:
i
a: (w) = 0"11 + LEm(w)(en -&n_1)
n=l
(5)
Equation 5 computes the stress using an incremental approach of adding the products of
strain increments by the effective stiffness at that level. The degraded stiffuess at each
strain value up to a strain level defined as Emu are used. Based on this approach there is a
gradual decrease in the stiffness of the matrix beyond the plain matrix crt! until the
ultimate strength of matrix O"mu· This relationship is maintained until a damage level
defined by ro0 is reached at the ultimate strength of matrix in the presence of fibers. The
parameter Emu is obtained using the ACK approach [6] which predicts the strength of
matrix phase in the presence of fibers. In this approach y is the fracture toughness and r
is the fiber radius. In the current study, y = 0.5 N-mm has been used. This approach has
been verified to be applicable for the cement based materials as it has been clearly shown
that the strength of the matrix is increased in the presence of fibers. [7]
(6)
Beyond this level, the response is dominated by localization of the matrix phase, and is
referred to as the softening zone. The stress in the strain-softening zone asymptotically
approaches a level of zero, after which the model is comparable to the ply discount
method, which totally neglects the stress in a cracked layer. In this zone the matrix
cracks widen and while there may be no localization, the strain softening region is
defined as a zone where the response is governed by a smeared crack model. The stress
capacity is assumed to an exponentially decaying function of the maximum stress. The
choice of the exponent parameter affects the rate of drop of the stress as a function of
strain. This response is modeled as:
(7)
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
It is known that matrix in the 0 degree plies may be subjected to significant parallel
microcracking due to the bridging effect of fibers. The matrix phase in the 90 degree
plies loaded in tension may also be subjected to parallel cracking due to the shear lag of
adjacent layers. A cracked matrix in a degree ply may carry a significant amount of
stress due to fiber bridging, whereas a cracked matrix in a 90 degree layer may be stress
free due to Jack of fiber bridging. Therefore the initial cracking and final cracking of the
matrix must be differentiated. Additionally, the complete failure of lamina due to the
failure of the fiber phase must also be considered. For an off-axis lamina subjected to
shear, the matrix phase may fail in a brittle manner due to the formation of a single shear
crack. The failure criterion for the first cracking of matrix and final cracking of matrix
based on the state of stress and represented as the yield surface, F 1 and F2 :
cr 1 ~ crmu
After each incremental loading, stresses in the lamina were checked against the failure
surface to update the material properties for the subsequent iteration. The second yield
surface F2 was used to address the strength of the matrix in the presence of fibers or crmu·
For a unidirectional lamina subjected to tension, assuming that the matrix phase has
cracked significantly, the ultimate tensile strength was set equal to the strength of the
fiber phase, and represented as:
(10)
The constitutive relations for a general orthotropic material require the compliance
matrix, S, or its inverse the stiffness matrix, Q, which relate the stress and strain within a
lamina loaded in its principal directions [8]. Since the present model updates the elastic
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
184 Mobasher
stiffness of the matrix due to cracking, an elastically equivalent compliance matrix S
was defined where the bar indicates use of updated elastic properties. In the term S;ik ,
parameter "i" represents the load increment, "j" the direction of applied strain, and "k"
the observed stress. The stress strain relationship was represented in incremental form
for each loading increment i, as:
l
0 11&1 0'1
0
s66
-lr 11yl21+ r 1
11&z
i
O'z
rl2 i-1
(12)
where,
1 1
Sz2 = E2(w) S66 - Gl2(w)
(13)
By inverting the compliance matrix, S, the stiffness matrix, Q is obtained which relates
the stresses to strains for each lamina loaded in principal material directions.
(14)
For a composite laminate consisting of several laminae, each with a fiber orientation
of(;m, where m represents the first to the n1h ply, classical lamination theory results in
derivation of laminate stiffness components as:
The form of submatrices A , B and D is discussed by Agarwal and Broutman [2], where
A represents the extensional, f5 the bending, and B the coupling stiffnesses. With
knowledge of laminate strains and curvatures, the stress distribution per lamina is
computed for each loading step in an incremental fashion. M represents the moment per
unit length, N the force per unit length of cross section, s 0 and K represents the
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
(16)
For each iteration, the incremental loads and strains are determined and used to update
the previous increment values. The applied load in the x direction at the i1h interval of the
j 1h lamina was represented as N ix.i according to:
N 1 .=
X,/
N 1. +
X,/-]
~ 1 .= N;.
X,/ X,/-]
+[A] . [~c I
0
] (17)
Similarly,
M;X,/.= M 1.
X,l-]
+ ~M ; .= M X,l
1. +
X,l-]
[J5] . (~K] I
(18)
After the geometry of the laminate in terms of number of layers and their orientation is
defined, the solution algorithm imposed the strain and curvature distributions
incrementally. At each increment of the strain, the stiffness is calculated and used to
calculate the stress. The stress is checked against the failure criteria for plain matrix
failure, bridged matrix failure, and the composite failure. If the failure criteria were met,
then the stress level and the stiffness of that layer are adjusted according to the
constitutive response. Subsequent loading of a cracked layer results in a change in the
magnitude of the damage parameter. This indicates that at any stress level, the
degradation of elastic properties is primarily related to the magnitude of crack density
and overall strain response. Using the updated damage parameter, the quasi-elastic
- - -
stiffness parameters A, Band D are obtained and used to calculate the load and
moment for that increment. The procedure is repeated for the next strain increment. A
complete description and the parametric evaluation of the model are provided elsewhere.
[9]
Several case studies involving various systems are presented to evaluate the
applicability of the model to composite materials under tension and bending. Figure 3a
and 3b present the simulated and experimental results for 0/90/0 and [0/45/-45/90/90] 5
stacked laminates subjected to a unifom1ly applied tensile strain level. A constant strain
level is imposed across the depth of the cross section. As seen in Figures 3 a and b, the
cracking starts with matrix cracks forming in the 0 degree and 90 degree layers. This is
followed by cracking in the ±45 degree layers due to shear. Damage is allowed to
accumulate in the 0 degree layers due to multiple matrix cracking in accordance to the
damage evolution law. The loading in the transverse direction (90 degree layers) is
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
186 Mobasher
limited to the ultimate tensile strength cr12. Note that as the fiber volume fraction is
increased, the response of specimens in carrying the forces and distributing the cracks
beyond the initial cracking phase are also enhanced. As the damage accumulation
increases, it results in a reduction in stiffness for the overall composite. The load
carrying capacity extends well beyond the matrix-cracking point and as damage
accumulates, stiffness decays. The stress in the longitudinal layers increases to a
maximum level determined by the fiber fracture strength, or an effective strength of V1
O'fu· Successive failure of 0, 90, and 45 degree layers is apparent in the angle ply samples
as shown in Figure 3.b. Note that in the transverse direction the stiffness and strength are
both significantly lower than the 0° layers. The stiffuess degradation due to damage
results in a non-linear response which is also shown in the load vs. deformation response;
however, this is not clearly visible due to the high relative stiffness of glass as compared
to the cement matrix.
The model was further extended to composites with fibrillated polypropylene fibers. The
values of Em=30000 MPa , Et = 7000 MPa, Vm = 0.18 Vf = 0.25, and lamina strength of
atl = O't2 = 6 MPa were used. Figure 5 represents the model predictions for the response
of unidirectional (0), 0/90/0, and 90/0/90 laminates with polypropylene fiber composites.
There is a major drop in the stiffness of the composite as the strength of the matrix is
reached at the bend over point. This is attributed to the low stiffness of the
polypropylene fibers. As a 0 degree lamina is replaced by 90 degree layers, it is observed
that both the first crack strength and also the post BOP stiffness drop markedly; however,
the benefit of this lay up arrangement is found in improvements in transverse properties
of the layers. The response exhibited in 0/90/0, and 90/0/90 laminates demonstrates the
behavior of an ideal composite for use under a biaxial loading condition since both
transverse and longitudinal directions are ductile and strong; whereas, the 0 degree
laminates show a very strong and ductile response in the longitudinal direction, however,
the transverse response is brittle.
Figure 7 represents the effect of fiber volume fraction on the flexural moment curvature
response of a unidirectional laminate. The response of a composite with 6% AR Glass
fibers shows three distinct levels of cracking due to the failure of each lamina in tension.
The moment curvature responses indicate the improved deformation capacity of
composites with higher fiber fractions. Note that as the fiber volume fraction increases,
the initial stiffness remains the same, however, the point of first cracking is increased.
Above a certain critical level of fibers, it is possible for the composite to carry loads
beyond the first cracking load or the proportional Elastic Limit (PEL).
Conclusion
REFERENCES
188 Mobasher
2 Agarwal, B. D., and Broutman, L. 1.(1990) ,Analysis and Performance of Fiber
Composites, 2nd edition, Wiley.
4 Horii, H; Hasegawa, A; and Nishino, F., (1987) "Process Zone Model and
Influencing Factors in Fracture of Concrete," in G-28, 1987, pp. 205-219.
7 Mobasher, B., and Shah, S. P., "Interaction Between Fibers and the Cement
Matrix in Glass Fiber Reinforced Concrete", American Concrete Institute, ACI
SP-124, pp. 137-156, 1990
8 Jones, R.M. (1975) Mechanics of Composites Materials, McGraw Hill Book Co.
10 Mobasher, B., Pivacek A., and Haupt, G. J. " Cement Based Cross-Ply
Laminates," Journal of Advanced Cement Based Materials, 1997, 6, pp. 144-
152.
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l'2l
vt
Figure I Definition of lamina and coordinates used in generating stiffness coefficients.
250
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Glass Fiber Composites
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190 Mobasher
Vr=6%
w1J.- SO Softening Coeffi~;ic:m
Em= 30000 MPa
Er.,. 7000 MPa
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Polypropylene
Model Simulation Fiber Composites
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SP-224-14
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
by M. Boulfiza and N. Banthia
193
Copyright American Concrete Institute
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INTRODUCTION
Unreinforced cementitious materials are characterized by low tensile strengths, and low
tensile strain capacities, and hence they require reinforcement. In thin sheet products
conventional reinforcing bars cannot be used, and hence, fibers constitute the primary,
and often the only, reinforcement. Typically, these materials are characterized by
relatively high fiber concentrations, exceeding 5% by volume. Here, the fibers act to
increase both the strength and the toughness of the composite. One fiber that is inert in
the cementitious environment, is not associated with any health hazards, and has been
shown to possess great potential in the production of thin products, is the carbon fiber
[2,3,4]. One of the major uses of CFRC is in thin pre-cast products such as roofing sheets,
panels, tiles, curtain walls, ferrocements, wave absorbers, permanent forms, free-access
floor panels, and 1- and L-shaped beams [3,4].
The idea of reinforcing relatively brittle building materials with fibers has been known
and practiced since ancient times, modeling the mechanical behavior of such materials is
however, not a trivial task. This is because the nonlinear behavior of these materials
depends on the type, size, distribution and orientation of microdefects, fibers and other
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
RESEARCH SIGNIFICANCE
Under various external loads and environmental conditions, microcracks develop in thin
sheet cement-based composites and will eventually control the behavior of the material at
advanced stages of loading. A novel approach is proposed here to link the evolution of
the overall (macroscopic) mechanical properties of the composite considered as a
homogeneous medium with the configuration and evolution of crack type microdefects
while taking into account the properties of the fibers and the matrix. The results of this
study are expected to contribute to the development and implementation of rational
procedures for performance based design of FRC composites through a better
quantification of the effect of the material's degradation on its service performance in the
structure.
CONSTITUTIVE MODELING
The macroscopic behavior of a damaged material may be completely known once the
specific Helmholtz free energy and the damage evolution laws iJ are known. Indeed,
given the specific free energy
(1)
one can compute the associated thermodynamic forces and the stiffness tensor as follows
(jii = pOlf/
--
OBij
Olf/
s=---
8T
(2)
y = Olf/
iJ poD ..
I}
021f/
ci,.kl = P _ _..:.__
. OBijOBkl
where Bii is the strain tensor, T is temperature and DiJ is the damage tensor, CY!i is the
stress tensor, s is the entropy, YiJ is the thermodynamic force associated with damage,
and Ciikl is the 4th order stiffness tensor. The rate of change of the internal state of the
solid is governed by the damage evolution equations as independent equations of
evolution for every internal damage variable
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Another alternative for writing the kinetic equations describing damage evolution may be
as derivatives of a suitably chosen potential function, making use of the generalized
normality postulate (17]. The Clausius-Duhem inequality which ensures that the first and
second principle of thermodynamics are satisfied leads to
(4)
_ f ~ 2 (a) (a)
Di i - - L..a<a) n; n1 (5)
A a=l
where A is the area of the two dimensional RVE, a index denoting the number of the
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
crack under consideration ( 0 =5: a =5: M ), M being the total number of cracks, n(a) the
unit vector normal to crack number a, a is the half length of crack a . Similar damage
variables have been developed to account for different mechanisms taking place in a
whole variety of single phase materials and composites [1,18,19,20]. A major short-
coming in this approach, resides in the fact that macroscopic damage variables obtained
through a spatial average of individual damage entities, assumes that damage is
uniformly distributed throughout the RVE. This represents a serious limitation in
formulating damage evolution laws that include sub-RVE length scale interaction effects.
stress transfer across the crack in fiber reinforced cementitious composites (FRC) [6].
Unlike most models in the literature, this micromechanical model assumes that cracking
plays a major role in the composite's behavior, starting at the point of departure from
linearity up to ultimate failure and not only in the post-peak zone. The following three
stages have been considered in estimating the uncracked composite Young modulus and
the equivalent cohesive pressure acting at the lips of the crack to simulate the bridging
effect of fibers [7,8].
1- Linear Elastic Zone: uncracked case. The rule of mixtures is assumed to hold true for
the linear behavior of the composite. This theory has been shown to yield accurate results
for quasi-brittle materials at this stage of loading as long as the fiber volume fraction
remains less than I 0% [ 13].
(6)
where E, £ 117 and £ 1 are Young's moduli for the composite, the matrix and the fiber,
respectively. vm and v 1 are the matrix and fiber volume fractions.
a=
2 vJ E Ef T" max 0
(7)
(1- v1 ) rEm
where f 01 a, is the maximum shear stress at the fiber matrix interface, r is the radius of
the fiber and c5 is the crack opening.
materials. With an increasing load, microdefects in a material evolve, and the effects of
interaction among the microdefects become dominant, leading to the creation of
macrodefects that will ultimately govern the macroscopic failure. Previous
micromechanics-based theoretical investigations, have revealed that the dominant
mechanism of localization is caused by interaction among microdefects [14,15].
Practically, the damage growth kinetic equations are usually postulated based on
empirical evidence or computational suitability. Typically, a number of simplifYing
assumptions are often made to make the problem tractable. Usually, these simplifYing
assumptions have the inconvenience of restricting the validity of the analysis to the dilute
damage case under a single specific type of loading.
The micromechanics-based models developed in the previous section are used here as
cohesive crack pressures to study the effect of fiber content and cracking configuration
on the thermodynamic force associated with the macroscopic damage variable and the
overall Young's modulus for CFRC materials. The micromechanics-based cohesive
pressure model can account for the effect of fibers on the fracture behavior of FRC
materials. The equivalence between the real cohesive crack and the model is shown in
figure I. The fiber bridging effect is modeled as a cohesive pressure that acts on the lips
of the crack and depends on its opening.
In the finite element implementation, interface elements are introduced along the crack
lips to simulate the cohesive crack. The effect of the fiber type and volume fraction is
accounted for through its specific a(J) constitutive law [6]. Equations 7 and 8 were
used to represent the cohesive pressure acting on the lips of the crack whereas equation 6
was used for the uncracked area of the RVE.
The results of a numerical simulation using the finite element model for the pure tensile
behavior of a typical RVE of a fiber reinforced specimen in the strain-hardening regime
are shown in Figure 2. Indeed, at this stage of loading the phenomenon of multiple
cracking occurs, for the fiber volume fractions considered in this investigation, and many
micro-cracks develop at different locations of the RVE prior to their evolution and
coalescence of some of them to form macrocracks. As can be seen from the stress
distribution in Figure 2, very little interaction exists between the different microcracks
prior to the formation of enough cracks in a given area of the RVE the coalescence of
which leads to crack localization.
associated with the chosen damage variable has been investigated through parametric
studies for a number of periodic crack distributions of parallel cracks in a two-
dimensional case. Both brittle and fiber reinforced cementitious materials have been
considered. Overall moduli and thermodynamic forces associated with damage were
calculated at each damage increment within a numerical simulation of evolving cracks.
The effective Young's modulus and damage thermodynamic force together with local
driving forces, were computed at each stable damage configuration. Damage distribution
is characterized by the crack density tensor in equation (5) which gives a typical low
order damage representation [ 11 ]. For the particular configuration considered in this
study, this tensorial damage variable has only one non-zero component given by
} N
D =D,-- =-"a.
A L.... J
(9)
J~l
and the damage thennodynamic force, also has only one non zero component,
y = y22 = - p - -
alf/ (10)
8D 12
An expression for Young's modulus E 2 in the x 2 direction can be derived using
Hooke's law for orthotropic media and associated symmetry properties [ 12] to yield
where E 0 and v0 are the initial Young's modulus and Poisson's ratio before cracking.
&22 and (f22 are the average normal strain and stress, acting on the RVE boundary in
the x 2 direction.
Continuous damage evolution in a damaged RVE may be numerically simulated through
a sequence of N steps of damage increments associated with N+ 1 stable damage states,
D(i) , where i=O, .. .. .. ,N. Each stable damage state, DUl, has a strain energy density
threshold, w<il, necessary for damage evolution to take place under a given load. If the
strain density is chosen to be the thermodynamic potential, w(i) = lf/(i), then equation
( 10) can be approximated using the three-point formula [9]
. "'(i+l) - "'(i-1)
y(z) =- Y' Y'
(12)
P D(i+l) - n<H>
where i denotes the i'" stable damage state, Y the damage thermodynamic force.
Equations ( 11) and ( 12) may therefore be used to compute the averaged modulus and the
damage thermodynamic force.
Uniformly distributed crack patterns are used to illustrate the effect of the relative
distribution of crack lengths on the macroscopic Young's modulus and damage
thermodynamic force for a given crack density. Figure 4 shows three uniform crack
distributions over the RVE consisting of one, four and sixteen cracks, respectively. Each
distribution has the same initial normalized horizontal and vertical spacing between
neighboring cracks, whereas the initial crack length of the second and third are about 1h
and~ of that ofthe first configuration.
Simulation results clearly show on Figure 5 that for a given damage, as represented by
the crack density, the macroscopic Young's modulus (obtained using equation 11) is
independent of the considered cracking configurations. On the other hand, Figure 6
reveals that unlike the evolution of the normalized stiffuess E 2 / E 0 , the damage
thermodynamic force (obtained using equation 12) is different for each case. Indeed, as
can be easily seen on Figure 6, the normalized thermodynamic force, Y/YREF , necessary
for damage evolution decreases as the characteristic crack size of the distribution
increases, where Y is the damage thermodynamic force and YREF is the thermodynamic
force associated with the initial damage (crack density) shown in pattern III chosen as a
reference. Despite the difference in the value of the normalized damage thermodynamic
force, the three configurations show, however, a similar tendency in that, Y/YREF
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Figure 7 shows that for a given damage extent, the normalized macroscopic stiffness,
£ 2 /£0 , increases with fiber content. Also, for a given stiffness, the damage that can be
sustained by the material increases. It is worth noticing that beyond a fiber volume
fraction of 5%, increasing fiber content does not lead to any significant enhancements of
the materials behavior. This is consistent with experimental observations for the tensile
beha\'ior of the CFRC composites shown in Figure 8 where one can easily see that the
improvement achieved when going from v1 = 4% to v1 = 5% is not as significant as
the improvement obtained when going from v1 = 3% to v = 4%. Although the fiber
1
length used in the simulation (3mm) was different from the fiber length used in the
experiment shown (I 0 mm), it nonetheless appears that regardless of the fiber length,
there is no significant improvement beyond a certain fiber volume fraction.
In practice, the theory presented in this paper can be very useful in assessing the effects
of different fiber types and bond properties on the overall performance of different FRC
formulations as measured by the evolution of the macroscopic Young's modulus and the
continuum damage variable representing the evolution of microcracks in the FRC
composite. Another interesting application where the proposed procedure may be used is
in the area of predicting the nonlinear response of FRC structures by providing
macroscopic (or averaged) material properties needed by a traditional numerical model
for structures such as a finite element model. Indeed, using the proposed approach, one
would not need to worry about the details of composite nature of the FRC material, which
have been hidden form the structural engineer through the upscaling nature of the
procedure. This makes the analysis simpler while allowing an indirect link to the
composite constitution of the material.
ACKNOWLEDGEMENTS
The authors would like to express their gratitude to The National Research Council of
Canada for their financial support to the current project.
REFERENCES
I. Allen, D.H., Harris, C.E., and Groves, S.E. 1987. A Thermomechanical Constitutive
Theory for Elastic Composites with Distributed Damage. 1: Theoretical
Development. Int. J. Solids and Struct., Vol. 23, , pp. 1310-1318
3. Banthia, N. and Mindess, S., (Eds), 1995. Fiber Reinforced Concrete: Modem
Developments. Second University-Industry Workshop on Fiber Reinforced Concrete,
Toronto, Canada.
4. Banthia, N., Bentur, A. and Mufti, A., (Eds.), 1998. Fiber Reinforced Concrete:
Present and Future, Canadian Society for Civil Engineering, Montreal, Canada.
5. Boulfiza, M., Banthia, N., and Sakai, K. 2000. Application of Continuum Damage
Mechanics to CFRC Composites. ACI Materials Journal, Vol. 97, No.3, pp. 245-
253.
7. Boulfiza, M., Banthia, N. 2002. A discrete crack analysis for high fiber volume
fraction cement-based composites: part 1, constitutive modeling. Damage & Fracture
Mechanics 2002, Maui, Hawaii, 15-17 October.
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
9. Hoffman, J.D. 1992. Numerical Methods for Engineers and Scientists. New York,
McGraw-Hill.
12. Lemaitre, J., Chaboche, J.L. 1990. Mechanics of Solid Materials. Cambridge
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
UniYersity Press.
13. V.C. Li, C.K. Y. Leung, 1992. Steady-State and Multiple Cracking of Short Random
Fiber Composites. J. Engng Mech., Vol. 118, No. I I, pp. 2246-2264.
16. Okui, Y., 1-lorii, H., and Akiyama, N. 1993. A Continuum Theory for Solids
Containing Microdefects. Int. J. Engng Sci. Vol. 31, N° 5, pp. 735-749.
17. Rice, .I.R. 1971. Inelastic Constitutive Relations for Solids: An Internal-Variable
Theory and its Application to Metal Plasticity. J. Mech. Phys. Sol-ids, Vol. 19, pp.
433-455.
18. Swenson, D.V. 1985. Modeling Mixed-Mode Dynamic Crack Propagation Using
Finite Elements. Ph.D. Thesis, Corne]) University.
~-
XLx~t=t=t=f=t=t=t
I
I I
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
·+
. . :,~,i=t=~=+=~~"~+-······-
i..__.....-.::=_!
I._. . . . . .
Figure 2- A typical RVE in the strain hardening regime.
Interacting cnackl
c:::::::~
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
I hlw I I I
Figure 4-Crack patterns considered to investigate the effect of cracking on the overall
properties of the :RYE.
1.0 '"'"''""""''""'''""""""'·-""""""'"····-··--·--..,.·-·:-·--··-··--·-·--,
0.9
~ 0.8 ~Pattern I
f ~ L~-···~·
~· : = · ~·= ·- ~·; : ·~ ·- ·:j~ -~· ·:~.-;=-:!·~: -: · =·: !· ~_J
0 5 10 15
.... . . .
25
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Damage(%}
i 0.5
1 0.4
j o.3 l
0.21
o.1 II
0''-.- - - -
0 0.1 0.2 0.3 0.4 0.5 0.6
Damage (cracJt. density)
Figure 7-Effect of fiber content and extent of damage on the macroscopic Young's
modulus.
7 .......... -·~··..---,~·-----.-··-·--·-~-·---;"-----. _ ,__ l
...... ···~ .. -+-Vf=O%
6
14
....
,!3
21
1 I
0 0.1 0.2 0.3 OA 0.5
Strain(%)
Figure 8- Tensile stress strain behavior of a CFRC composite as a function of fiber
volume fraction.
Length
inch millimeter (mm) 25.4Et
foot metcr(m) 0.3048E
yard meter (m) 0.9144E
mile (statute) kilometer (km) 1.609
Area
square inch square centimeter (cm 2) 6.451
square foot 2 0.0929
square meter (m )
square yard 2 0.8361
square meter (m )
Volume (capacity)
ounce cubic centimeter (cm 3 ) 29.57
gallon cubic meter (rn\j: 0.003785
cubic inch cul>ic centimeter (em·') 16.4
cubic foot cubic meter (m 3) 0.02832
cubic yard cul>ic meter (m\i: 0.7646
Force
kilogram-force newton(N) 9.807
kip-force newton (N) 4448
pound-force newton (N) 4.448 --``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
Pressure or stress
(force per area)
kilogram-force/square meter pascal (Pa) 9.807
kip-force/square inch (ksi) megapascal (MPa) 6.895
newton/square meter (N/m 2 ) pascal (Pa) I.OOOE
pound-force/square foot pascal (Pa) 47.88
pound-force/square inch (psi) kilopaseal (kPa) 6.895
Temperature§
deg Fahrenheit (F) deg Celsius (C) lc =(tp - 32)/1.8
<.leg Celsius (C) deg Fahrenheit (F) tp = 1.8'c + 32
* This selected list gives practical conversion factors of units found in concrete technology. The reference
source for information on SI units and more exact conversion factors is "Standard for Metric Practice" ASTM E
380. Symbols of metric units are given in parentheses.
t E indicates that the ractor given is exact.
:j: One liter (cubic decimeter) equals 0.001 m 3 or 1000 cm 3.
* These equations convert one temperature reading to another and include the necessary scale corrections. To
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
convert a difference in temperature from Fahrenheit to Celsius degrees, divide by 1.8 only, i.e .• a change from 70
to 88 F represents a change of 18 For 18/1.8 = I 0 C.
Index
A E
abrasion, 71 engineering properties, 1
aesthetics, 71 expanded polystyrene, 101
analysis. 33
AR glass fibers, 1 F
AR mats, I facades, 55
AR meshes. I fatigue behavior, 89
aramid. 21 ferrocement, 127
fiber, 161
B fibers, 179, 193
Banthia. N., 161, 193 fiber cement, I
Barle, M., 45 fiber-reinforced, 71
Blain-Cosgrove, E., IOI fiber reinforced cement, 1 13
Boulfiza, M .. 193 fiber-reinforced cement board, 145
Brameshuber, W., 45 fiber-reinforced concrete, 21
Bruckermann, 0., 33 fiber reinforcement, I
finite elements, 33
c flexural and compressive strength, I13
carbon fibers, I 13 form work, 45
cement. I6I. 179 frameless housing, 101
cement composite, 89 freeze-thaw durability, 145
cementitious composites, 179 full scale wall tests, 101
centrifugation, I I 3
cladding pands, 55 G
composite, 7 I Gilbert, G. T., I
concrete, 45, I 79 glass concrete, 2I
cracking, I 79 gravity load, 101
curing, 127 Gries, T., 45
curtain wall, 55
H
D Hatschek process, I45
damage, 193 Hegger, J., 33, 45,55
decorative elements, 1 Hesselbarth, D., II3
decretized, I 27 homogenization, 193
ductile, 7I
durability, I, 71
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
210 Index
s
impact, 71 sandwich building system, 101
impermeability, 71 Schneider, H., 55
interlaminar bond strength, 145 seismic resistance, 101
Shah, S. P., 145
K Shao, Y., 101
Kaufmann, J., I 13 Sherif, A., 33, 55
Konrad, M., 33 Shum, C. H., 127
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
0 u
Ong, K. C. G., 127 UHPC, 71
overall behavior, 193 usage-life, 71
p v
Parant, E., 89 Vi Ikner, G., 21
Perry, V., 71 Voss, S., 45, 55
Plizzari, G. A., 161
polymeric fibers, 1 13 w
porosity, 145 wall panels, 1
pressure, 145 wind resistance, 101
prestressed concrete, 21 Wong, L. H. J., 127
R z
reinforced concrete, 193 Zakariasen, D., 71
reinforcement, 161
Reinhardt, H.- W., 45
Robinson, B., 101
Rossi, P., 89
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---
--``,```,`,`,`,,,,`,`````,`,,`,,-`-`,,`,,`,`,,`---