基于下限模型的临界滑动面理论与数值解法

郑颖人; 张金良; 尹德文; 邵颖; 苏凯; 吴昊; 张智沛

doi:10.11779/CJGE20230988

基于下限模型的临界滑动面理论与数值解法 English Version

1.
陆军勤务学院, 重庆 400041
2.
黄河勘测规划设计研究院有限公司, 河南郑州 450002
3.
武汉大学, 湖北武汉 430072

详细信息

作者简介:
郑颖人(1933—)，男，教授，博士生导师，中国工程院院士，主要从事岩土力学、岩土工程与地下工程领域的研究工作。E-mail：zhengl32@163.net

中图分类号: TU43
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出版历程
- 收稿日期: 2023-10-07
- 网络出版日期: 2024-05-10
- 刊出日期: 2025-01-31

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

摘要

摘要: 临界滑动面对岩土工程的加固处理有着重要意义。目前对于临界滑动面的研究多采用上限法，基于下限定理或下限模型的临界滑动面理论与数值解法目前尚未见到。在下限模型的基础上，提出了基于下限模型的临界滑动面理论，给出了相应的数值解法；并以黏性土体直立边坡的临界高度问题为例，验证了临界滑动面理论与数值解法的适用性。
- 下限模型 /
- 临界滑动面 /
- 数值解法
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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图 1 单元边界上x方向的应力分布

Figure 1. Stresses along element boundary in x direction

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图 2 单元边界上y方向的应力分布

Figure 2. Stress along the element boundary in y direction

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图 3 黏性土体直立边坡的临界高度问题

Figure 3. Critical heights of vertical slope in cohesive soil

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参考文献(19)

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