The Critical Slip Surface Search of Non-Homogeneous Slopes Based on the Global Procedure for Slope Stability Analysis

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Abstract:

On the basis of the global analysis method of slope stability, a nonlinear optimum model is proposed for the location of the critical slip surface. In this method, both the factor of safety and vertical coordinates of discrete points on the slip surface are taken as independent variables, and the factor of safety as the objective function, with the constraints including the global equilibrium equations and convexity on the critical slip surface. For non-homogeneous slopes, a smoothing scheme is proposed. Thus the optimization problem can be solved by the classic gradient-based algorithms. The examples show that the proposed method enjoys excellent numerical stability.

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1056-1061

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October 2013

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] Baker R. Determination of the critical slip surface in slope stability computations. International Journal of Numerical and Analysis Methods in Geomechnics,1980,4(4):333-359.

Google Scholar

[2] Kahatadeniya K S, Nanakorn P, Neaupane K M, et al. Determination of the critical failure surface for slope stability analysis using ant colony optimization. Engineering Geology. 108(2009)133-141.

DOI: 10.1016/j.enggeo.2009.06.010

Google Scholar

[3] Husein Malkawi A I, Hassan W F, Sarma S K, et al. Global search method for locating general slip surface using monte carlo techniques. Journal of geotechnical and geoenvironmental engineering. 2001, 688-698.

DOI: 10.1061/(asce)1090-0241(2001)127:8(688)

Google Scholar

[4] Zhu D Y. A method for locating critical slip surfaces in slope stability analysis. Canadian Geotechnical Journal, 38: 328 – 337, (2001).

DOI: 10.1139/t00-118

Google Scholar

[5] Cheng Y M, Li L, Chi S C, et al. Particle swarm optimization algorithm for the location of the critical non-circular failure surface in two-dimensional slope stability analysis. Computers and Geotechnics, 34 (2007) 92–103.

DOI: 10.1016/j.compgeo.2006.10.012

Google Scholar

[6] Jian-Feng Xue, Ken Gavin. Simultaneous Determination of Critical Slip Surface and Reliability Index for Slopes. Journal of geotechnical and geoenvironmental engineering. 2007, 878-886.

DOI: 10.1061/(asce)1090-0241(2007)133:7(878)

Google Scholar

[7] Ali R Z, Andrew C H, Paul F M. Simple genetic algorithm search for critical noncircular failure surface in slope stability analysis. Computers and Geotechnics, 2005, 32(3): 139 –152.

DOI: 10.1016/j.compgeo.2005.02.001

Google Scholar

[8] Anthony T C G. Genetic algorithm search for critical slip surface in multiple-wedge stability analysis.

Google Scholar

[9] Zheng H, Tham L G. Improved Bell's method for the stability analysis of slopes. Int. J. Numer. Anal. Meth. Geomech. 2009, 33(14): 1673-1689.

DOI: 10.1002/nag.794

Google Scholar

[10] Chen Zu-yu. Stability analysis for soil slope—theory, method and program. Beijing: China Water Power Press, 2003: 365-376.

Google Scholar