Abstract
The research work presented in this paper refers to a new slope stability analysis method used for landslide risk evaluations. It is an extension of the 3-dimensional upper-bound slope stability analysis method proposed by Chen et al. in 2001, which employs the Mohr-Coulomb’s associative flow rule. It has been found that in a 3-dimensional area, a prism may not be able to move at friction angles to all its surrounding interfaces, as required by this associative rule, and convergence problems may occasionally arise. The new method establishes two velocity fields: (i) The plastic one that represents a non-associative and the best representative dilation behavior, and (ii) the virtual one that permits the solution for factor of safety in the work and energy balance equation. The new method can then allow any input value of dilation angle and thus solve the convergence problem. A practical application to a concrete dam foundation is illustrated.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Chen Z Y, Yin J H, Wang Y J. The three-dimensional slope stability analysis: Recent advances and a forward look. In: Han J, Yin J-H, White DJ, and Lin GM editors. Advances in Earth Structures: Research to Practice (ASCE Geotechnical Special Publication No.151). Shanghai: ASCE, 2006. 1–42
Donald I, Chen Z. Slope stability analysis by an upper-bound plasticity method. Can Geotech J, 1997, 4(11): 853–862
Sokolovski V V. Statics of Soil Media. Translated by Jones D H, Scholfield A N. London: Butterworth, 1960
Michalowski R L. Three-dimensional analysis of locally loaded slopes. Geotechnique, 1980, 39: 27–38
Farzaneh O, Askari F. Three-dimensional analysis of nonhomogeneous slopes. J Geotech Geoenviron Eng, 2003, 129(2): 137–145
Chen Z, Wang X G, Haberfield C, et al. A three-imensional lope stability analysis method using the upper-bound theorem. Part I: Theory and Methods. Int J Rock Mech Min Sci, 2001, 38: 369–378
Chen Z, Wang J, Wang Y, et al. A three-dimensional slope stability analysis method using the upper-bound theorem. Part II: Numerical approaches, applications and extensions. Int J Rock Mech Min Sci, 2001, 8: 379–397
Chen Z Y. A generalized solution for tetrahedral rock wedge stability analysis. Int J Rock Mech Min Sci, 2004, 41: 613–628
Chen W F. Limit Analysis and Soil Plasticity. New York: Elsevier Scientific Publishing Company, 1975
Pan J Z. Stability Analyses of Structures and Landslides (in Chinese). Beijing: Water Resources and Hydropower Press, 1978
Chen Z Y, Wang X G, Wang Y J, et al. Three-dimensional limit analysis of arch dam abutment stability (in Chinese). J Hydraul Eng, 2001, (8): 1–6
Chen Z Y, Wang X G, Xing Y C, et al. Theoretical study and physical modeling on ‘Principle of Maximum’ in slope stability analysis (in Chinese). Chinese J Geotech Eng, 2005, 27(5): 495–499
Zhang X. Three-dimensional stability analysis of concave slopes in plan view. ASCE J Geotech Eng, 1988, 114: 658–671
Lam L, Fredlund D G A. General limit equilibrium model for three-dimensional slope stability analysis. Can Geotech J, 1993, 30: 905–919
Huang C C, Tsai C C. New method for 3D and asymmetric slope stability analysis. ASCE J Geotech Environ Eng, 2000, 126(10): 917–927
Chen R H, Chameau J L. Three-dimensional limit equilibrium analysis of slopes. Geotechnique, 1982, 33: 31–40
Chen Z, Mi H, Zhang F, Wang X G. A simplified method for 3D slope stability analysis. Can Geotech J, 2003, 40: 675–683
Hungr O, Salgado F M, Byrne P M. Evaluation of a three-dimensional method of slope stability analysis. Can Geotech J, 1989, 26: 679–686
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by the National Natural Science Foundation (Grant Nos. 50539100, 50509027)
Rights and permissions
About this article
Cite this article
Chen, Z., Sun, P., Wang, Y. et al. 3-dimensional slope stability analyses using non-associative stress-strain relationships. Sci. China Ser. E-Technol. Sci. 52, 2517–2527 (2009). https://doi.org/10.1007/s11431-009-0276-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11431-009-0276-0