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The goal of this experimental work was to study the behavior of SFRC and MSNFRC
panels subjected to pure shear, and to perform an investigation of compressive, tensile
and flexural behavior of the same concrete specimens, comparing one to each other with
referring to previous experimental programs.
An experimental program was undertaken at University of Toronto involving
experimental tests on small-scale specimens (compression cylinder tests, uniaxial dog-
bones direction tests and modulus of rupture bending tests), as well as on larger scale
in-plane shear panel specimens.
For the analytical part of this work, the primary goal was to understand the behavior of
the macro-synthetic fibers and to find a right way to model the MSNFRC specimens.
Many theories were studied to improve this behavior , with simplified relationship and
to adopt reasonable bond constitutive laws.
Lastly, SFRC and MSNFRC were implemented into the finite element program,
VecTor2, and a short verification has been done to investigate the accuracy of the
predictions. 269
8. CONCLUSIONS
7.2 Material tests
7.2.1 Cylinder Compression Tests
As shown and previously discussed, the pre-peak behavior was not affected by the
addition of fibers.
Adding fibers into the concrete matrix exhibited an improving in the post-peak behavior
for the all FRC specimen than the plain concrete specimen: for plain concrete the
compression resistance drop suddenly after the peak, whereas the FRC post-peak
behavior has a softer and more controlled curve so, adding fibers into the concrete
matrix, led to improved ductility and toughness of the concrete.
DC-P2 specimens, made of steel fibers, shows a better post-peak behavior than DC-P3,
made of macro-synthetic fibers that, for the same strain level, has a lower stress level.
Some difficulties were obtained in the workability due to accommodate the fibers into
the concrete matrix: the space occupied by fibers is removed for the concrete, and the
resistance pays the consequences with the creation of larger voids, reducing the overall
strength.
7.2.2 Uniaxial Direct Tension Tests
When 0.5% fiber by volume was added to the matrix, although a strength reduction was
observed immediately after cracking, the concrete still retained a small amount of
residual strength (Susetyo, 2009). Increasing fibers up to 1.0% and 1.5% did not alter
the pre-cracking response of the concrete than by 0.5% of fiber by volume, but the post-
cracking behavior was improved remarkably.
The influence of fiber type is viewable by the main differences obtained: shorter steel
fibers were more effective than the longer fibers, at volume fraction of 1.0%, maybe due
to the fact that there is a large number of individual fibers in the mix for shorter steel
fibers, at a given volume fraction.
At large crack width, the SFRC with shorter fibers began to lose the load-carrying
capacity rapidly, and the residual stress dropped below that of the longer fibers. 270
8. CONCLUSIONS
The response of MSNFRC specimens was different: the drop after cracking was larger
than SFRC regardless to the volume fraction; moreover, a large crack width was
required before the macro-synthetic fibers began engaged.
However, despite to this initial drop, the MSNFRC response regained some strength: in
most cases the maximum residual tensile stress occurred at a much greater crack width
than with the SFRC specimen, as much as 150% of the stress at engagement.
At a crack width of 2.4 mm to 2.8 mm, the steel fibers began to lose bond strength due
to the straightening of the end-hook; the macro-synthetic fibers performed more
favorably at this level of cracking (Carnovale, 2013).
The flexibility of the fiber is a significant properties that affect the engagement of the
macro-synthetic fibers. At first cracking, some fibers were oriented in non-orthogonal
directions to the crack. These fibers had to become bent around the matrix entrance
points at both sides of the crack and become aligned with the direction of the load,
before becoming effective: this does not happen instantly and some crack opening is
required to allow this alignment to occur. This explain the requirement of a relatively
large crack opening before that these fibers become engaged.
Therefore, at a small crack widths, only fibers perfectly aligned perpendicular to the
crack can transmit significant tensile stress across the crack.
Watching the post-racking behavior of the specimens, they seem to don’t be
significantly influenced by the strength of the concrete matrix: the only difference is the
interfacial shear strength between the fibers and the concrete matrix (higher in high
strength concrete matrix than in the normal one) so at the onset of first cracking, the
fibers in high strength concrete specimens were subjected to a higher tensile stress than
those in normal strength concrete specimens.
7.2.3 Modulus of Rupture Tests
It is not viewable in this research, but Carnovale found that the short steel fibers were
more effective in residual load-carrying capacity, because more fibers were still present
to transmit load across the crack: with as little as 1.0% by volume of the short fibers
experienced elevated amounts of strain hardening, and attained the greatest peak load at
all the mid-span displacement. 271
8. CONCLUSIONS
Longer fibers exhibited more ductility.
For the macro-synthetic fibers responses, at low crack widths these fibers did not
become sufficiently engaged: this can be attributable to their low stiffness; as dog-
bones, at a high mid-span displacement of over 4 mm, specimen containing MSNFRC
showed the greatest residual flexural load-carrying capacity.
It was evident that the macro-synthetic fibers, despite a more sudden drop in load after
cracking, provided significant improvements in residual load-carrying capacity,
toughness and ductility over plain concrete; this improvement was similar to that of
1.0% by volume of end-hooked steel fibers with the same length, consistent with the
experimental findings of Richardson et al. (2010).
7.2.4 Panel Tests
Monotonic in-plane shear panel tests showed that shear strength similar to that of low
percentages of conventional transverse reinforcement ( = 0.42%) could be attained
using 1.0% by volume of steel fiber reinforcement; the same results could not be
obtained with macro-synthetic fibers in 2.0% by volume.
The pre-peak compressive behavior was somewhere affected by the presence of fibers:
28
modulus of elasticity and -day compressive strengths exhibited some differences,
with a lower value of elastic modulus and a worse strength in the compressive peak;
shear strength attained by the MSNFRC panels was only the 67% of the shear strength
for low percentage of conventional steel, while the 1.0% by volume of SFRC panels
obtained at least the 90% of the shear strength for low percentage of conventional steel.
The post-peak compressive behavior of concrete was improved: strain at peak stress was
increased for all FRC specimens, with greater results for ductility and toughness in
compression; short steel fibers exhibited the best behavior and the greatest
improvements in toughness.
After cracking, all FRC specimens exhibited a gradual and ductile release of load as the
fiber were pulled out or ruptured; 272
8. CONCLUSIONS
Few of macro-synthetic fibers ruptured, meaning that a higher ultimate strength of these
fibers would be needed if stiffness and anchorage are improved: this would help to
preserve the ductility exhibited by MSNFRC specimens;
MSNFRC panel exhibited a better ductility than the conventionally reinforced concrete
and SFRC.
The average and maximum crack widths were greater in the MSNFRC panels than in
the SFRC one: crack spacing were also larger, meaning that the degree of multiple
cracking was greater for the end-hooked steel fibers.
Benefits in ductility using the MSN fibers cannot be denied, yet the greater bond
strength would be beneficial in improving shear strength and promoting distributed
cracking. To maintain the ductility of the response, this improved bond strength must be
coupled with higher fiber tensile strength to prevent brittle fiber failure.
7.3 Analytical Modeling
The VEM and DEM were shown to reasonably predict the behavior of SFRC
specimens. Thus, they have been adapted to also model the MSNFRC tensile response.
Despite the observation of a few fiber ruptures during the MSNFRC dob-bone tests,
elastic fiber deformation was ignored: it was postulated that these ruptures occurred in
fibers that were aligned in the loading direction immediately upon cracking; these fibers
carried too much tensile loads before other fibers became aligned and effective.
Watching the literature, it was found that the MSN fibers could be modeled as the SFR
one: frictional bond component and mechanical anchorage component could be
separately represented.
For the slip at peak mechanical anchorage strength, 0.5 mm was chosen as experiments
showed that peak fiber bond strength for macro-synthetic fibers occurred at larger
cracks widths than end-hooked steel fibers.
Using this new model, the slope of the degradation in direct tension after cracking was
over-predicted. An attenuation factor was well used, considering the effect of fiber
engagement on the energy released during cracking. 273
8. CONCLUSIONS
7.4 Finite Element Modeling
Panel specimens were tested, after the series of SFRC beams and MSNFRC beams, to
verify the reliability of the FE Program, VecTor2, on these kinds of fibers.
Predictions of SFRC were well done, with a good range of acceptability; MSNFRC
specimens predictions were quite well done, at least as successful as those obtained for
SFRC or plain concrete. However, a number of discrepancies exist, mostly surrounding
the predicted load-carrying capacity and the degree of strain hardening immediately
after cracking.
7.5 Conclusions
This experimental program, the analytical modeling and the FE Modeling, aboard with
the literature, shows the following conclusions:
1. Steel Fiber addition in the concrete matrix gives many improvements on the
behavior of the all material (post-cracked residual strength, tensile ductility and
control crack widths); the same results were obtained with the Macro-synthetic
fibers;
2. The panels tested with the 2.0% of MSN fibers shown a strain hardening
behavior and multiple cracking: it is worth notice that nothing can be said about
less percentage (2.0%, in some states, can be considered a too high fiber
percentage);
3. Moreover, 2.0% by volume is a very high quantity of fibers, leading in problems
with the workability of the concrete and in the certain correct distribution of the
fibers in the all cement paste; shorter fiber lengths may improve the distribution;
4. Comparing steel fibers with macro-synthetic, the first has the best behavior in
terms of peak strength; the ductility was quite the same, but the macro-synthetic
shows a better post-peak decay in terms of ductility and toughness (these fibers
can transmit relatively high amou