Analytical Solutions for Three-Dimensional Stability of Limited Slopes

Abstract

Abstract:A method of three-dimensional limited slope stability analysis is presented here based on the upperbound 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.

Key words:

stability| landslides| limit analysis| slope

摘要：A method of three-dimensional limited slope stability analysis is presented here based on the upperbound 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.

关键词:

stability| landslides| limit analysis| slope

CLC Number:

TU 46
TU 473

XIA Xiao-he(夏小和), HAN Chang-yu (韩长玉), WANG Jian-hua (王建华). Analytical Solutions for Three-Dimensional Stability of Limited Slopes[J]. Journal of shanghai Jiaotong University (Science), 2012, 17(2): 251-256.

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