A Micromechanical-Based Semi-Empirical Model for Predicting the Compressive Strength Degradation of Concrete under External Sulfate Attack
Abstract
:1. Introduction
2. Description of the Simplified Model
2.1. Simplified Microstructure of Concrete
2.2. Diffusion of Sulfate Ions
2.3. Chemical Reaction
2.4. Expansion
2.5. Constitutive Equation and Damage Criterion
3. The Uniaxial Compressive Process Simulation of Concrete without Chemical Damage
3.1. Uniaxial Compressive Process Simulation
3.2. Model Parameter Calculation
3.3. Comparison with Uniaxial Compressive Tests
4. Compressive Strength Prediction of Concrete under ESA
4.1. Experimental Procedure
4.2. The Sulfate Degradation Process Simulation
4.3. The Case Study
4.4. Prediction of Compressive Strength Deterioration
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Kohees et al. [34] | Yu et al. [38] | Yi et al. [39] | Tasnimi [40] | |
---|---|---|---|---|
Material | Mortar | Mortar | Concrete | Concrete |
Yin (GPa) | 23.21 | 14.40 | 28.88 | 21.42 |
Ym (GPa) | 31.42 | 17.85 | 36.32 | 25.67 |
σc,in (MPa) | 38.00 | 29.18 | 33.78 | 37.06 |
εc,in | 3.04 × 10−3 | 2.33 × 10−3 | 1.80 × 10−3 | 1.92 × 10−3 |
ci (μm) | 0.1 | 0.1 | 0.1 | 0.1 |
fc,in | 5.14% | 4.06% | 3.92% | 4.21% |
Xin | 0.075 | 0.090 | 0.060 | 0.093 |
Gf (N/mm) | 3.19 × 10−7 | 2.73 × 10−7 | 1.27 × 10−6 | 6.38 × 10−7 |
SiO2 | Al2O3 | Fe2O3 | CaO | SO3 | MgO | Na2O | K2O |
---|---|---|---|---|---|---|---|
19.95 | 4.63 | 2.95 | 61.87 | 2.51 | 2.09 | 0.15 | 0.66 |
Yu et al. [38] | Lee [45] | Cefis et al. [46] | Zhao et al. [44] | Xie et al. [47] | |
---|---|---|---|---|---|
Material | Mortar | Mortar | Concrete | Concrete | Concrete |
Cement type | PO 42.5 | ASTM Type I | CEMII/A-LL | PC 32.5R | PO 42.5R |
w/c | 0.4 | 0.45 | 0.45 | 0.486 | 0.45 |
Corrosion solution | 5% Na2SO4 | 5% Na2SO4 | 10% Na2SO4 | 10% Na2SO4 | 5% Na2SO4 |
Compressive test | Φ 50 × 100 mm | 50 × 50 × 50 mm | Φ 150 × 300 mm | Φ 100 × 200 mm | Φ 150 × 300 mm |
Expansion test | 25 × 25 × 285 mm | 25 × 25 × 285 mm | Φ 50 × 110 mm | Φ 100 × 200 mm | Φ 150 × 300 mm |
Test period | Every month | 91, 180, 270, 360, 450 d | Every two months until 1080 d | 30, 90, 180, 270, 360 d | 28, 91, 154, 217, 280 d |
Tests in This Study | Yu et al. [38] | Lee [45] | Cefis et al. [46] | Zhao et al. [44] | Xie et al. [47] | |
---|---|---|---|---|---|---|
Material | Mortar | Mortar | Mortar | Concrete | Concrete | Concrete |
Yin (GPa) | 20.06 | 14.40 | 23.35 | 30.28 | 30.40 | 29.25 |
Ym (GPa) | 24.62 | 17.85 | 29.58 | 34.62 | 36.50 | 40.78 |
σc,in (MPa) | 34.37 | 29.18 | 47.60 | 30.02 | 30.00 | 25.00 |
εc,in | 2.75 × 10−3 | 2.33 × 10−3 | 3.81 × 10−3 | 1.66 × 10−3 | 1.66 × 10−3 | 1.47 × 10−3 |
ci (μm) | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 |
γ | 0.04 | 0.04 | 0.04 | 0.025 | 0.025 | 0.025 |
fc,in | 3.61% | 4.06% | 4.16% | 2.67% | 3.58% | 3.11% |
Xin | 0.082 | 0.090 | 0.081 | 0.075 | 0.094 | 0.098 |
Gf (N/mm) | 2.99 × 10−7 | 2.73 × 10−7 | 4.87 × 10−7 | 3.78 × 10−7 | 2.91 × 10−7 | 5.08 × 10−7 |
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Li, S.; Yu, X.; Yang, S.; Wang, H.; Chen, D. A Micromechanical-Based Semi-Empirical Model for Predicting the Compressive Strength Degradation of Concrete under External Sulfate Attack. Materials 2023, 16, 5542. https://doi.org/10.3390/ma16165542
Li S, Yu X, Yang S, Wang H, Chen D. A Micromechanical-Based Semi-Empirical Model for Predicting the Compressive Strength Degradation of Concrete under External Sulfate Attack. Materials. 2023; 16(16):5542. https://doi.org/10.3390/ma16165542
Chicago/Turabian StyleLi, Shagang, Xiaotong Yu, Shanyin Yang, Hongxiang Wang, and Da Chen. 2023. "A Micromechanical-Based Semi-Empirical Model for Predicting the Compressive Strength Degradation of Concrete under External Sulfate Attack" Materials 16, no. 16: 5542. https://doi.org/10.3390/ma16165542