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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

Postal Subscription Code 80-968

2018 Impact Factor: 1.272

Front. Struct. Civ. Eng.    2019, Vol. 13 Issue (6) : 1520-1530    https://doi.org/10.1007/s11709-019-0580-0
RESEARCH ARTICLE
Investigation on modeling parameters of concrete beams reinforced with basalt FRP bars
Jordan CARTER, Aikaterini S. GENIKOMSOU()
Civil Engineering Department, Queen’s University, Kingston, ON K7N 3N6, Canada
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Abstract

Fiber-reinforced polymer (FRP) bars are widely used as internal reinforcement replacing the conventional steel bars to prevent from corrosion. Among the different types of FRP bars, basalt FRP (BFRP) bars have been used in different structural applications and, herein, three already tested concrete beams reinforced with BFRP bars are analyzed using three-dimensional (3-D) finite element analysis (FEA). The beams were tested in four-point bending. In the FEA the behavior of concrete is simulated using the “Concrete-Damaged Plasticity” model offered in ABAQUS software. The research presented here presents a calibrated model for nonlinear FEA of BFRP concrete beams to predict their response considering both the accuracy and the computational efficiency. The calibration process showed that the concrete model should be regularized using a mesh-dependent characteristic length and material-dependent post-yield fracture and crushing energies to provide accurate mesh-size independent results. FEA results were compared to the test results with regard to failure load and crack patterns. Both the test results and the numerical results were compared to the design predictions of ACI 440.1R-15 and CSA S806-12, where CSA S806-12 seems to overestimate the shear strength for two beams.

Keywords basalt Fiber-reinforced polymer bars      reinforced concrete beams      finite element analysis      damaged plasticity model      design codes     
Corresponding Author(s): Aikaterini S. GENIKOMSOU   
Just Accepted Date: 04 September 2019   Online First Date: 30 October 2019    Issue Date: 21 November 2019
 Cite this article:   
Jordan CARTER,Aikaterini S. GENIKOMSOU. Investigation on modeling parameters of concrete beams reinforced with basalt FRP bars[J]. Front. Struct. Civ. Eng., 2019, 13(6): 1520-1530.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-019-0580-0
https://academic.hep.com.cn/fsce/EN/Y2019/V13/I6/1520
Fig.1  Schematic drawing of test apparatus.
Fig.2  Schematic drawing of the beams (cross-sections).
beam concrete BFRP bars/stirrups
f'c (MPa) f't (MPa) Gf (N/mm) Ec (MPa) fy (MPa) Es (MPa) As (mm2)
NT 60.0 2.6 0.138 38730 1100 70000 157
FT 51.0 2.4 0.126 35707 1100 70000 157
FC 52.1 2.4 0.127 36090 1100 70000 314
Tab.1  Material properties of the beams
beam stirrups depth, d (mm) reinforcement ratio, r failure load (kN) failure displacement (mm) failure mode
NT No 270 0.0039 41.8 95.8 shear (tension)
FT BFRP 270 0.0039 72.7 59.8 shear (stirrup rupture)
FC BFRP 245 0.0085 106.9 61.6 shear (stirrup rupture)
Tab.2  Test results
Fig.3  Load versus mid-span deflection curves of the tested beams.
Fig.4  Crack patterns of the tested beams.
parameter value
dilation angle ψ 36°
ε 0.1
σb o σc o 1.16
Kc 0.667
μ 0
Tab.3  Plasticity properties of concrete for the beams
Young’s Modulus (MPa) Poisson’s ratio yield stress (MPa)
70000 0.22 1100
Tab.4  BFRP material properties
Fig.5  Compressive behavior of concrete: (a) stress-strain curve; (b) stress-inelastic strain (input data in ABAQUS).
Fig.6  Tensile stress-crack width curves for the beam NT.
Fig.7  Load-deflection response curves for the beam NT: Fracture energy investigation.
Fig.8  PEEQT tensile equivalent plastic strains representing cracking for the beam NT at failure.
Fig.9  Regularized tensile stress-strain curves for the beam NT for Gf = 0.138 N/mm: mesh size investigation.
Fig.10  Load-deflection response curves for the beam NT for Gf = 0.138 N/mm: mesh size investigation.
Fig.11  Compressive stress-plastic deformation for the beam NT considering crushing energy (Gfc = 80 N/mm).
Fig.12  Regularized compressive stress-strain curves for the beam NT for Gfc = 80 N/mm: mesh size investigation.
Fig.13  Load-deflection response curves for the beam NT: mesh size investigation after material regularization.
Fig.14  PEEQT tensile equivalent plastic strains representing cracking for the beam NT at failure: Gf = 0.138 N/mm, Gfc = 80 N/mm, mesh size= 25 mm.
Fig.15  Load-deflection curves of the beams.
Fig.16  PEEQT tensile equivalent plastic strains representing cracking at failure for beams: (a) FC and (b) FT.
beam test failure load (kN) [30] FEA failure load (kN) CSA S806-12 (kN) ACI 440.1R-15 (kN)
NT 41.8 44.5 62.1 28.1
FT 72.7 69.6 89.8 64.7
FC 106.9 96.5 82.2 76.6
Tab.5  Comparison between test, numerical, and design codes failure loads
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