Structural Engineering:
FE Models of GFRP and CFRP Strengthening of Reinforced Concrete
Beams
In the last decade, fiber reinforced polymer (FRP) composites
have been used for strengthening structural members of reinforced concrete
bridges which are structurally deficient or functionally obsolete due to changes
in their use or consideration of increased loadings (Kachlakev 1998). Many
researchers have found that FRP composites applied to such members provide
reliable and cost effective rehabilitation (Kachlakev 1998 and Tedesco et
al. 1996).
In some cases the currently available design and simplified
analysis tools cannot provide complete and accurate predictions of the structural
behavior for reinforced concrete members strengthened with FRP composites,
partly due to the fact that these methods were developed originally for behavior
of steel reinforced concrete structures. To overcome these difficulties, the
finite element method (FEM) is employed in this study to analyze the behavior
of FRP-strengthened reinforced concrete beams.
Over the past few years, a number of researchers have studied
the behavior and modeling of reinforced concrete members strengthened with
FRP composites. In these studies, the FE method was used with eight-node isoparametric
elements and a smeared cracking approach for modeling the concrete; and two
dimensional plate elements (Malek et al. 1998) or truss elements
(Ross et al. 1999) for the FRP composites.
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| Load-Compressive Strain Plots for Concrete: (a)
Unstrengthened Beam; (b) Flexural-Strengthened Beam; (c) Shear-Strengthened
Beam; (d) Flexural plus Shear-Strengthened Beam (Experimental
beam did not fail) |
In the experiment conducted at Oregon State University, four
beams (McCurry 2000) were tested.The analysis results were compared with data
obtained from full-scale beam tests through the linear and nonlinear ranges
up to failure.
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| Experimental Beams at Failure: (a) Unstrengthened
Beam; (b) Flexural-Strengthened Beam; (c) Shear-Strengthened Beam |
The general behaviors of the FE models show very good agreement
with observations and data from the full-scale beam tests. The load-strain
plots showing local behavior at selected locations from the FEA in general
show good agreement to the experimental data. Load-deflection plots at midspan
from the FE models have similar trends with those from the experimental beams,
but the FE models are slightly stiffer than the experimental beams both in
the linear and nonlinear ranges. The effects of bond slip (between the concrete
and steel reinforcing) and microcracks occurring in the actual beams were
excluded in the FE models and resulted in the higher stiffnesses. Crack patterns
at the final loads from the FE models correspond well with the failure modes
of the experimental beams. Final loads from the FEA are lower than the experimental
ultimate loads by 6%-18%. The three-dimensional cracking FE models presented
in this study demonstrate the behaviors of the full-scale beams and provide
additional large-scale test results and a better understanding of FRP-strengthened
concrete beams.
Knowledge gained from this study can be used to conservatively
estimate load-carrying capacity of FRP-reinforced concrete beams using FE
models. The FEM models can be used in further studies to develop design rules
for strengthening reinforced concrete members using FRP. It should be pointed
out that one of the limitations of these FE results is that they predict failures
that are not failures of, or in, the FRP or epoxy bond. A multitude of other
failure modes may exist and need to be investigated in future research.
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