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Mathematical Problems in Engineering
Volume 2016, Article ID 7857490, 8 pages
Research Article

Stability Analysis of Anchored Soil Slope Based on Finite Element Limit Equilibrium Method

1Ji’nan Rail Transit Group Co., Ltd., Jinan, Shandong 250101, China
2Dalian University Civil Engineering R&D Center, Dalian, Liaoning 116622, China

Received 10 March 2016; Accepted 7 June 2016

Academic Editor: Francesco Tornabene

Copyright © 2016 Rui Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Under the condition of the plane strain, finite element limit equilibrium method is used to study some key problems of stability analysis for anchored slope. The definition of safe factor in slices method is generalized into FEM. The “true” stress field in the whole structure can be obtained by elastic-plastic finite element analysis. Then, the optimal search for the most dangerous sliding surface with Hooke-Jeeves optimized searching method is introduced. Three cases of stability analysis of natural slope, anchored slope with seepage, and excavation anchored slope are conducted. The differences in safety factor quantity, shape and location of slip surface, anchoring effect among slices method, finite element strength reduction method (SRM), and finite element limit equilibrium method are comparatively analyzed. The results show that the safety factor given by the FEM is greater and the unfavorable slip surface is deeper than that by the slice method. The finite element limit equilibrium method has high calculation accuracy, and to some extent the slice method underestimates the effect of anchor, and the effect of anchor is overrated in the SRM.