上海交通大学学报(英文版) ›› 2013, Vol. 18 ›› Issue (6): 646-649.doi: 10.1007/s12204-013-1445-7

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Three-Dimensional Stability Analysis of Excavation Using Limit Analysis

HAN Chang-yu1,2 (韩长玉), CHEN Jin-jian1 (陈锦剑), WANG Jian-hua1 (王建华), XIA Xiao-he1* (夏小和)   

  1. (1. Department of Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China; 2. School of Civil Engineering and Architecture, Henan University, Kaifeng 475004, Henan, China)
  • 出版日期:2013-12-31 发布日期:2013-12-18
  • 通讯作者: XIA Xiao-he(夏小和) E-mail:xhxia@sjtu.edu.cn

Three-Dimensional Stability Analysis of Excavation Using Limit Analysis

HAN Chang-yu1,2 (韩长玉), CHEN Jin-jian1 (陈锦剑), WANG Jian-hua1 (王建华), XIA Xiao-he1* (夏小和)   

  1. (1. Department of Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China; 2. School of Civil Engineering and Architecture, Henan University, Kaifeng 475004, Henan, China)
  • Online:2013-12-31 Published:2013-12-18
  • Contact: XIA Xiao-he(夏小和) E-mail:xhxia@sjtu.edu.cn

摘要: The theory of limit analysis is presented for a three-dimensional stability problem of excavation. In frictional soil, the failure surface has the shape of logarithm helicoid, with the outline profile defined by a logspiral curve. The internal dissipation rate of energy caused by soil cohesion and gravity power of the failure soil is obtained through theoretical derivation. By solving the energy balance equation, the stability factor for the excavation is obtained. Influence of the ratio of width to height, the slope angle, and the top angle on the stability is examined. Numerical results of the proposed algorithm are presented in the form of non dimensional graph. Examples illustrate the practical use of the results.

关键词: stability, landslides, limit analysis, excavations

Abstract: The theory of limit analysis is presented for a three-dimensional stability problem of excavation. In frictional soil, the failure surface has the shape of logarithm helicoid, with the outline profile defined by a logspiral curve. The internal dissipation rate of energy caused by soil cohesion and gravity power of the failure soil is obtained through theoretical derivation. By solving the energy balance equation, the stability factor for the excavation is obtained. Influence of the ratio of width to height, the slope angle, and the top angle on the stability is examined. Numerical results of the proposed algorithm are presented in the form of non dimensional graph. Examples illustrate the practical use of the results.

Key words: stability, landslides, limit analysis, excavations

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