Critical sliding surface theorem and numerical solution method based on lower bound model

ZHENG Yingren; ZHANG Jinliang; YIN Dewen; SHAO Ying; SU Kai; WU Hao; ZHANG Zhipei

doi:10.11779/CJGE20230988

Volume 47 Issue 2

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Chinese Journal of Geotechnical Engineering > 2025 > 47(2): 438-442. > DOI: 10.11779/CJGE20230988

ZHENG Yingren, ZHANG Jinliang, YIN Dewen, SHAO Ying, SU Kai, WU Hao, ZHANG Zhipei. Critical sliding surface theorem and numerical solution method based on lower bound model[J]. Chinese Journal of Geotechnical Engineering, 2025, 47(2): 438-442. DOI: 10.11779/CJGE20230988

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Critical sliding surface theorem and numerical solution method based on lower bound model

1.
The PLA Army Service Academy, Chongqing 400041, China
2.
Yellow River Engineering Consulting Co., Ltd., Zhengzhou 450002, China
3.
Wuhan University, Wuhan 430072, China

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Received Date: October 07, 2023
Available Online: May 10, 2024

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Abstract

Abstract

The critical sliding surface is important for the reinforcement of geotechnical engineering in practice. The existing researches on the critical sliding surface are mostly based on the upper bound theorem, while the theorem and numerical solution method for the critical sliding surface based on the lower bound theorem or lower bound model are not available. In this study, the new critical sliding surface solution theorem is proposed based on the lower bound model, and the corresponding numerical solution method is also provided. The accuracy and reliability of the calculated results as well as the rationality and feasibility of its engineering applications are validated through the examples of an upright slope.
- lower bound model,
- critical sliding surface,
- numerical solution method

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References

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