Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/28189
Title: A three-dimensional slope stability analysis method using the upper bound theorem Part I : theory and methods
Authors: Chen, Z
Wang, X
Haberfield, C
Yin, JH 
Wang, YJ
Keywords: Limit analysis
Slope stability analysis
Three-dimensional analysis
Upper bound theorem
Issue Date: 2001
Publisher: Pergamon Press
Source: International journal of rock mechanics and mining sciences, 2001, v. 38, no. 3, p. 369-378 How to cite?
Journal: International journal of rock mechanics and mining sciences 
Abstract: A three-dimensional (3D) slope stability analysis method, based on its two-dimensional approaches proposed by Donald and Chen (Can. Geotech. J. 34 (1997) 853.) is presented in this paper. It starts from establishing a compatible velocity field and obtains the factor of safety by the energy and work balance equation. Optimisation is followed to approach the critical failure mode that offers the minimum factor of safety. The method is demonstrated to be identical to Sarma's limit equilibrium method (1979) that employs inclined slices, if it is extended to the 3D area. However, it has been established on a sound theoretical background supported by the upper bound theorem of plasticity. Test problems have demonstrated its feasibility. A feature of the method is its very simple way to obtain the factor of safety without complicated 3D force equilibrium evaluations. Limited assumptions are involved in this method and their applicability has been justified.
URI: http://hdl.handle.net/10397/28189
ISSN: 1365-1609
EISSN: 1873-4545
DOI: 10.1016/S1365-1609(01)00012-0
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