Numerical Investigation on Dynamic Response of RC T-Beams Strengthened with CFRP under Impact Loading
Abstract
:1. Introduction
2. Review of the Available Experimental Procedure
3. Numerical Model of RC T-Beams Strengthened with CFRP
3.1. Finite Element Model
3.2. Constitutive Model and Material Parameters
4. Validation and Analysis
4.1. Impact Force and Reaction Force
4.2. Displacement
4.3. Fracture Development Process and Failure Mode
4.4. Section Damage Assessment
5. Parametric Study
5.1. Strengthening Effect of FRP
5.2. Effect of Strengthening Modes
5.3. Effect of Strengthening Sizes
5.4. Effect of Strengthening Layers
5.5. Effect of Strengthening Material Types
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Density RO (ton·mm−3) | Calculated Control Parameters NPLOT | Maximum Strain Increment INCRE | Strain Rate Switch IRATE | Unit of Erosion ERODE | Pressure Recovery Parameter RECOV | Cap Options IRETRC | Pre-Damage PRED | Uniaxial Compressive Strength f’c (MPa) | Largest Aggregate Diameter DAGG (mm) |
---|---|---|---|---|---|---|---|---|---|
2.4 × 10−9 | 1 | 0 | 1 | 1.4 | 0 | 0 | 0 | 25 | 15 |
Density RO (ton·mm−3) | Elastic Modulus E (MPa) | Poisson Ratio PR (MPa) | Yield Strength SIGY (MPa) | Tangent Modulus ETAN (MPa) | Hardening Parameter BETA | Strain Rate Parameter SRC | Strain Rate Parameter SRP | Failure Strain FS |
---|---|---|---|---|---|---|---|---|
7.8 × 10−7 | 2 × 105 | 0.3 | 477 | 2 × 103 | 0 | 40.4 | 5 | 0.12 |
Material Parameters | CFRP | AFRP | GFRP |
---|---|---|---|
Density ρ (ton·mm−3) | 1.53 × 10−9 | 1.44 × 10−9 | 1.80 × 10−9 |
Longitudinal modulus of elasticity Ea (MP) | 1.28 × 105 | 6.7 × 104 | 3.09 × 104 |
Transverse modulus for composite Eb (MPa) | 8.4 × 103 | 4.7 × 103 | 8.3 × 103 |
Poisson’s ration νba | 0.0218 | 0.0280 | 0.0866 |
In-plane shear modulus Gab (MPa) | 4.0 × 103 | 2.0 × 103 | 2.8 × 103 |
Traverse shear modulus Gbc (MPa) | 4.0 × 103 | 1.586 × 103 | 2.8 × 103 |
Longitudinal shear modulus Gca (MPa) | 4.0 × 103 | 1.586 × 103 | 2.8 × 103 |
Longitudinal compressive strength Xc (MPa) | 1060 | 312 | 480 |
Longitudinal tensile strength Xt (MPa) | 2093 | 1420 | 983 |
Transverse compressive strength Yc (MPa) | 198 | 145 | 140 |
Transverse tensile strength Yt (MPa) | 50 | 36 | 40 |
In-plane shear strength Sc (MPa) | 104 | 53 | 70 |
Strengthening Modes | FRP Strengthening Sizes (mm2) | FRP Strengthening Layers | FRP Material Types | Maximum Mid-Pan Displacement (mm) | Residual Displacement (mm) |
---|---|---|---|---|---|
Un-strengthened | - | 0 | - | 11.44 | 6.23 |
Model A | 621,000 | 1 | CFRP | 10.54 | 4.78 |
Model B | 621,000 | 1 | CFRP | 8.31 | 3.17 |
Model C | 621,000 | 1 | CFRP | 9.07 | 4.55 |
Model D | 621,000 | 1 | CFRP | 9.49 | 4.82 |
Model A | 372,600 | 1 | CFRP | 10.73 | 5.89 |
Model A | 869,400 | 1 | CFRP | 9.38 | 4.56 |
Model A | 1,242,000 | 1 | CFRP | 8.96 | 3.57 |
Model A | 621,000 | 2 | CFRP | 10.20 | 4.53 |
Model A | 621,000 | 3 | CFRP | 10.05 | 4.45 |
Model A | 621,000 | 4 | CFRP | 9.98 | 4.35 |
Model A | 621,000 | 5 | CFRP | 9.93 | 4.30 |
Model A | 621,000 | 1 | AFRP | 10.88 | 4.98 |
Model A | 621,000 | 1 | GFRP | 11.01 | 5.13 |
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Zhao, H.; Kong, X.; Fu, Y.; Gu, Y.; Wang, X. Numerical Investigation on Dynamic Response of RC T-Beams Strengthened with CFRP under Impact Loading. Crystals 2020, 10, 890. https://doi.org/10.3390/cryst10100890
Zhao H, Kong X, Fu Y, Gu Y, Wang X. Numerical Investigation on Dynamic Response of RC T-Beams Strengthened with CFRP under Impact Loading. Crystals. 2020; 10(10):890. https://doi.org/10.3390/cryst10100890
Chicago/Turabian StyleZhao, Huiling, Xiangqing Kong, Ying Fu, Yihan Gu, and Xuezhi Wang. 2020. "Numerical Investigation on Dynamic Response of RC T-Beams Strengthened with CFRP under Impact Loading" Crystals 10, no. 10: 890. https://doi.org/10.3390/cryst10100890