Numerical Validation of Two-Parameter Weibull Model for Assessing Failure Fatigue Lives of Laminated Cementitious Composites—Comparative Assessment of Modeling Approaches
Abstract
:1. Introduction
2. Experimental Work
2.1. Fabrication of LCC Specimens
2.2. Fatigue Test Program
3. Fatigue Modeling Approaches for Cementitious Composites
3.1. Two-Parameter Weibull Distribution Model
3.2. Three-Parameter Weibull Distribution Model
4. Results and Discussion
4.1. Two-Parameter Weibull Distribution Model
4.2. Three-Parameter Weibull Distribution Model
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Reinforcement Type | Manufacturer | Thickness (µm) | Opening (mm) | Yield Strength (Mpa) | Elastic Modulus (GPa) | Density (g/cm3) | Elongation (%) |
---|---|---|---|---|---|---|---|
Fiber Glass Mesh (FG) | HaoXin hardware mesh Co. Ltd., Wuxi, China | 250 | 5 × 5 | 1100 | 75 | 2.6 | 3.9 |
Galvanized Iron Welded Wire Mesh (GI) | Xing Meng Zinc Steel Guardrail Co. Ltd., Chengdu, China | 750 | 5 × 5 | 250 | 300 | 7.8 | 7 |
PVA Fibers | Kuraray Co., Ltd., Okayama, Japan | 15 | NA | 1600 | 41 | 1.3 | 6 |
Series | Matrix | Mesh Type | No. of Layers | Mesh Volume Fraction, Vr (%) | PVA Fibers Volume Fraction, Vf (%) | Total Reinforcement Ratio, (%) |
---|---|---|---|---|---|---|
No. 1 | Mix 1 | GI | 1 | 1.00% | 0.50% | 1.50% |
No. 2 | Mix 1 | GI | 2 | 2.00% | 0.50% | 2.50% |
No. 3 | Mix 1 | FG | 1 | 0.70% | 0.50% | 1.20% |
No. 4 | Mix 1 | FG | 2 | 1.40% | 0.50% | 1.90% |
No. 5 | Mix 2 | GI | 1 | 1.00% | 0.50% | 1.50% |
No. 6 | Mix 2 | GI | 2 | 2.00% | 0.50% | 2.50% |
No. 7 | Mix 2 | FG | 1 | 0.70% | 0.50% | 1.20% |
No. 8 | Mix 2 | FG | 2 | 1.40% | 0.50% | 1.90% |
No. 9 | Mix 3 | GI | 1 | 1.00% | 0.50% | 1.50% |
No. 10 | Mix 3 | GI | 2 | 2.00% | 0.50% | 2.50% |
No. 11 | Mix 3 | FG | 1 | 0.70% | 0.50% | 1.20% |
No. 12 | Mix 3 | FG | 2 | 1.40% | 0.50% | 1.90% |
No. 13 | Mix 4 | GI | 1 | 1.00% | 0.50% | 1.50% |
No. 14 | Mix 4 | GI | 2 | 2.00% | 0.50% | 2.50% |
No. 15 | Mix 4 | FG | 1 | 0.70% | 0.50% | 1.20% |
No. 16 | Mix 4 | FG | 2 | 1.40% | 0.50% | 1.90% |
Series | Cyclic Test (Number of Cycles, N) | Cyclic Test, log10(N) | ||||
---|---|---|---|---|---|---|
Stress Range (0.10–0.60) | Stress Range (0.10–0.75) | Stress Range (0.10–0.90) | Stress Range (0.10–0.60) | Stress Range (0.10–0.75) | Stress Range (0.10–0.90) | |
Series 1 | 73,214 | 35,925 | 1646 | 4.86 | 4.56 | 3.22 |
Series 2 | 240,772 | 6916 | 975 | 5.38 | 3.84 | 2.99 |
Series 3 | 380,751 | 4144 | 1455 | 5.58 | 3.62 | 3.16 |
Series 4 | 89,960 | 8450 | 630 | 4.95 | 3.93 | 2.80 |
Series 5 | 1,016,836 | 5944 | 372 | 6.01 | 3.77 | 2.57 |
Series 6 | 214,647 | 18,446 | 283 | 5.33 | 4.27 | 2.45 |
Series 7 | 504,847 | 47,101 | 1695 | 5.70 | 4.67 | 3.23 |
Series 8 | 155,944 | 10,918 | 346 | 5.19 | 4.04 | 2.54 |
Series 9 | 1,703,252 | 584,742 | 3523 | 6.23 | 5.77 | 3.55 |
Series 10 | 1,808,915 | 19,458 | 1816 | 6.26 | 4.29 | 3.26 |
Series 11 | 2,112,929 | 14,022 | 1596 | 6.32 | 4.15 | 3.20 |
Series 12 | 2,097,152 | 7904 | 858 | 6.32 | 3.90 | 2.93 |
Series 13 | 2,000,000 | 10,649 | 773 | 6.30 | 4.03 | 2.89 |
Series 14 | 2,000,000 | 72,045 | 2867 | 6.30 | 4.86 | 3.46 |
Series 15 | 2,000,000 | 323,705 | 33,263 | 6.30 | 5.51 | 4.52 |
Series 16 | 2,000,000 | 126,156 | 1469 | 6.30 | 5.10 | 3.17 |
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Hanif, A.; Kim, Y.; Park, C. Numerical Validation of Two-Parameter Weibull Model for Assessing Failure Fatigue Lives of Laminated Cementitious Composites—Comparative Assessment of Modeling Approaches. Materials 2019, 12, 110. https://doi.org/10.3390/ma12010110
Hanif A, Kim Y, Park C. Numerical Validation of Two-Parameter Weibull Model for Assessing Failure Fatigue Lives of Laminated Cementitious Composites—Comparative Assessment of Modeling Approaches. Materials. 2019; 12(1):110. https://doi.org/10.3390/ma12010110
Chicago/Turabian StyleHanif, Asad, Yongjae Kim, and Cheolwoo Park. 2019. "Numerical Validation of Two-Parameter Weibull Model for Assessing Failure Fatigue Lives of Laminated Cementitious Composites—Comparative Assessment of Modeling Approaches" Materials 12, no. 1: 110. https://doi.org/10.3390/ma12010110