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The limit analysis in soil and rock: a mature discipline of geomechanics
作者姓名:CHEN  Zu-yu
作者单位:CHEN Zu-yu (China Institute of Water Resources and Hydropower Research,Beijing 100044,China) (MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering,Zhejiang University,Hangzhou 310027,China)
基金项目:The Zeng Guo-Xi Lecture, May 22, 2007; Project (Nos. 50539100, 50679035 and 50509027) supported by the National Natural Science Foundation of China
摘    要:The solution of a slope stability problem can be approached by its least upper-bound and maximum lower-bound with high accuracy. The limit equilibrium methods that employ vertical slices imply a lower bound of the factor of safety. It has been successfully extended to the area of active earth pressure analysis that accounts for different input of locations of earth pressure applications. Those methods that employ slices with inclined interfaces give an upper-bound approach to the stability analysis. It enjoys a sound mechanical background and is able to provide accurate solutions of soil plasticity. It has been successfully extended to the area of bearing capacity analysis in which various empirical coefficients are no longer necessary. The 3D upper- and lower-bound methods under this framework have been made possible and show great potential for solving various engineering problems.

关 键 词:极限分析  地质力学  边帮稳定性  界限平衡
收稿时间:8 October 2007
修稿时间:2007-10-08

The limit analysis in soil and rock: a mature discipline of geomechanics
CHEN Zu-yu.The limit analysis in soil and rock: a mature discipline of geomechanics[J].Journal of Zhejiang University Science,2007,8(11):1712-1724.
Authors:Chen Zu-yu
Institution:(1) China Institute of Water Resources and Hydropower Research, Beijing, 100044, China;(2) MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou, 310027, China
Abstract:The solution of a slope stability problem can be approached by its least upper-bound and maximum lower-bound with high accuracy. The limit equilibrium methods that employ vertical slices imply a lower bound of the factor of safety. It has been successfully extended to the area of active earth pressure analysis that accounts for different input of locations of earth pressure applications. Those methods that employ slices with inclined interfaces give an upper-bound approach to the stability analysis. It enjoys a sound mechanical background and is able to provide accurate solutions of soil plasticity. It has been successfully extended to the area of bearing capacity analysis in which various empirical coefficients are no longer necessary. The 3D upper- and lower-bound methods under this framework have been made possible and show great potential for solving various engineering problems.
Keywords:Limit analysis  Geomechanics  Slope stability problem  Limit equilibrium method
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