Location of Tension Cracks at Slope Crests in Stability Analysis of Slopes
Abstract
:1. Introduction
2. The Mixed Complementarity Problem from Constitutive Integration of Plasticity
2.1. Elasto-Perfectly Plasticity in the Rate Form
2.2. The Numerical Constitutive Integration
2.3. The Mixed Complementarity Problem
3. Displacement-Controlled Method Tailored for Plastic Deformation
4. The Secant Method for the Factor of Safety
5. Illustrative Examples
5.1. Homogeneous Soil Slope
5.2. A Layered Slope with Weak Interlayer
5.3. Multistage Non-Homogeneous Soil Slope
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A. Algorithm of GSPC
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Angle | Difference | ||
---|---|---|---|
45° | 1.512 | 1.537 | 1.63% |
50° | 1.386 | 1.412 | 1.84% |
60° | 1.18 | 1.218 | 3.12% |
70° | 1.012 | 1.06 | 4.53% |
80° | 0.851 | 0.928 | 8.3% |
90° | 0.652 | 0.814 | 19.9% |
Soil | |||||
---|---|---|---|---|---|
S1 | 18.82 | 29.4 | 12 | 10 | 0.35 |
S2 | 18.82 | 9.8 | 5 | 10 | 0.35 |
S3 | 18.82 | 29.4 | 40 | 10 | 0.35 |
Soil | |||||
---|---|---|---|---|---|
S1 | 18.8 | 19.8 | 15.7 | 10 | 0.4 |
S2 | 19 | 22.7 | 16.9 | 12 | 0.4 |
S3 | 19.5 | 39.3 | 24.2 | 14 | 0.35 |
S4 | 19 | 27.6 | 21.3 | 12 | 0.35 |
S5 | 19 | 35.7 | 27.4 | 15 | 0.3 |
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Zhang, T.; Lin, S.; Zheng, H.; Zhang, D. Location of Tension Cracks at Slope Crests in Stability Analysis of Slopes. Geotechnics 2022, 2, 488-505. https://doi.org/10.3390/geotechnics2030024
Zhang T, Lin S, Zheng H, Zhang D. Location of Tension Cracks at Slope Crests in Stability Analysis of Slopes. Geotechnics. 2022; 2(3):488-505. https://doi.org/10.3390/geotechnics2030024
Chicago/Turabian StyleZhang, Tan, Songtao Lin, Hong Zheng, and Dianjie Zhang. 2022. "Location of Tension Cracks at Slope Crests in Stability Analysis of Slopes" Geotechnics 2, no. 3: 488-505. https://doi.org/10.3390/geotechnics2030024