Articles | Volume 15, issue 10
Research article
08 Oct 2015
Research article |  | 08 Oct 2015

Simplified approach for locating the critical probabilistic slip surface in limit equilibrium analysis

Y. M. Cheng, L. Li, and L. L. Liu

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Cited articles

Ang, A. H. and Tang, W.: Probability concepts in engineering planning and design, vol. 2, John Wiley and Sons Inc, New York, 1984.
Arai, K. and Tagyo, K.: Determination of noncircular slip surfaces giving the minimum factor of safety in slope stability analysis, Soil. Found., 21, 43–51, 1985.
Au, S. K. and Beck, J. L.: Estimation of small failure probabilities in high dimensions by subset simulation, Probabilist. Eng. Mech., 16, 263–277, 2001.
Au, S. K. and Beck, J. L.: Subset simulation and its application to seismic risk based on dynamic analysis, J. Engin. Mech., 129, 901–917, 2003.
Au, S. K., Ching, J., and Beck, J. L.: Application of subset simulation methods to reliability benchmark problems, Struct. Saf., 29, 183–193, 2007.
Short summary
A rapid and practical procedure that can locate the slip surface for a slope with the minimum reliability index for limit equilibrium analysis at the minimum expense of time is developed. The comparative study on the reliability indices from different sample numbers using the quasi-Monte Carlo simulation method has demonstrated that the results from a large enough sample number are related to those from a small sample number with high correlation indices.
Final-revised paper