Analytical solutions for three-dimensional stability of limited slopes

Journal of Shanghai Jiaotong University (Science) - Tập 17 - Trang 251-256 - 2012
Xiao-he Xia1, Chang-yu Han1, Jian-hua Wang1
1Department of Civil Engineering, Shanghai Jiaotong University, Shanghai, China

Tóm tắt

A method of three-dimensional limited slope stability analysis is presented here based on the upper-bound theorem of the limit analysis approach. A rotating collapse mechanism is considered in which energy dissipation takes place along curve velocity discontinuities. In the frictional soils, the failure surface has the shape of logarithm helicoids, with track outline defined by log-spirals. In the cohesive soils, the shape of the failure surface is torus. Angle is considered at slope top, and the critical height is less than top with no inclination. Numerical results of the proposed algorithm are presented in the form of nondimensional graphs. Some examples illustrate the practical use of the results.

Tài liệu tham khảo

Cheng Y M, Lansivaara T, Wei W B. Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods [J]. Computers and Geotechnics, 2007, 34(3): 137–150. Cheng Y M, Lansivaara T, Wei W B. Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods: Reply [J]. Computers and Geotechnics, 2008, 35(2): 309–311. Morimasa S, Miura K. Three-dimensional slope stability analysis by means of limit equilibrium method [C]// Proceedings of 10th International Symposium on Landslides and Engineered Slopes. Xi’an, China: [s.n.], 2008: 843–849. Gu Xiao-qiang, Chen Long-zhu. A 3D limit equilibrium method for slope stability analysis [J]. Journal of Shanghai Jiaotong University, 2007, 41(6): 970–977 (in Chinese). Michalowski R L. Stability of uniformly reinforced slopes [J]. Journal of Geotechnical and Geoenvironmental Engineering, 1997, 123(6): 546–556. Wang Y J, Chen Z Y, Lee C F, et al. Threedimensional stability analysis of slopes using a plastic limit method [C]//Proceedings of the 14th Southeast Asian Geotechnical Conference. Hong Kong: Hong Kong Institution of Engineers, 2001: 923–928. Michalowski R L, Drescher A. Three-dimensional stability of slopes and excavations [J]. Geotechnique, 2009, 59(10): 839–850. Michalowski R L. Stability charts for uniform slopes [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2002, 128(4): 351–355.