A New Closure to Slice Model for Slope Stability Analysis


This paper presents a new closure to slice models for evaluating slopes. The discussion is based on the minimal inter-slice action (MIA) hypothesis, which results in a new slice model without including artificially adjustable parameters. It has been realized that the new slice model predicts the minimum value of the safety factor, while all other slice models available always overestimate the value of the safety factor. Moreover, the gravity moment of each slice is found to be opposite to the overturning moment, which is different from the existing knowledge. In particular, the new slice model overcomes the situation where different assumptions of the inter-slice force function will give different safety factors to the same slope. The related numerical examples indicate that the new slice model can serve as a reliable tool for investigating geotechnical slope stability.

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T. Liu, Y. Duan and C. Zhao, "A New Closure to Slice Model for Slope Stability Analysis," Engineering, Vol. 4 No. 7, 2012, pp. 394-399. doi: 10.4236/eng.2012.47052.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] J. M. Ducan and S. G. Wright, “Soil Strength and Slope Stability,” Chapter 6, John Wiley & Sons, Inc., New York, 2005.
[2] L. W. Abramson, T. S. Lee, S. Sharma and G. M. Boyce, “Slope Stability and Stabilization Methods,” 2nd Edition, Wiley, New York, 2002.
[3] Y. M. Cheng, Z. H. Zhao and Y. J. Sun, “Evaluation of Interslice Force Function and Discussion on Convergence in Slope Stability Analysis by the Lower Bound Method,” Journal of Geotechnical and Geoenvironmental Engineering, Vol. 136, No. 8, 2010, pp. 1103- 1113. doi:10.1061/(ASCE)GT.1943-5606.0000317
[4] S. Timoshenko and J. N. Goodier, “Theory of Elasticity,” McGraw-Hill Companies, Inc., New York, 1970.
[5] Z. Y. Chen and N. R. Morgenstern, “Extensions to the Generalized Method of Slices for Stability Analysis,” Canadian Geotechnical Journal, Vol. 20, No. 1, 1983, pp. 104-119. doi:10.1139/t83-010
[6] J. Krahn, “The 2001 R. M. Hardy Lecture: The Limits of Limit Equilibrium Analyses,” Canadian Geotechnical Journal, Vol. 40, No. 3, 2003, pp. 643-660. doi:10.1139/t03-024
[7] N. Janbu, “Slope Stability Computations,” Embankment- Dam Engineering: Casagrande Volume, John Wiley & Sons, Inc., New York, 1973, pp. 47-86.
[8] N. R. Morgenstern and V. E. Price, “The Analysis of the Stability of General Slip Surfaces,” Géotechnique, Vol. 15, No. 1, 1965, pp. 79-93. doi:10.1680/geot.1965.15.1.79
[9] E. Spencer, “A method of Analysis of the Stability of Embankments Assuming Parallel Inter-Slice Forces,” Géotechnique, Vol. 17, No. 1, 1967, pp. 11-26. doi:10.1680/geot.1967.17.1.11
[10] S. K. Sarma, “Stability Analysis of Embankments and Slopes,” Géotechnique, Vol. 23, No. 4, 1973, pp. 423-433. doi:10.1680/geot.1973.23.3.423
[11] D. Y. Zhu, C. F. Lee, Q. H. Qian and G. R. Chen, “A Concise Algorithm for Computing the Factor of Safety Using the Morgenstern-Price Method,” Canadian Geotechnical Journal, Vol. 42, No. 1, 2005, pp. 272-278. doi:10.1139/t04-072
[12] S. Tinti and A. Manucci, “Gravitational Stability Computed through the Limit Equilibrium Method Revisited,” Geophysical Journal International, Vol. 164, No. 1, 2006, pp. 1-14. doi:10.1111/j.1365-246X.2005.02796.x
[13] O. Ben-David, G. Cohen and J. Fineberg, “The Dynamics of the Onset of Frictional Slip,” Science, Vol. 330, No. 6001, 2010, pp. 211-214. doi:10.1126/science.1194777
[14] K. E. Petterson, “The Early History of Circular Sliding Surfaces,” Géotechnique, Vol. 5, 1955, pp. 275-296. doi:10.1680/geot.1955.5.4.275
[15] A. W. Bishop, “The Use of Slip Circles in the Stability Analysis of Earth Slopes,” Géotechnique, Vol. 5, No. 1, 1955, pp. 7-17. doi:10.1680/geot.1955.5.1.7
[16] K. Fan, D. G. Fredlund and G. W. Wilson, “An Interslice Function for Limit Equilibrium Slope Stability Analysis,” Canadian Geotechnical Journal, Vol. 23, No. 3, 1986, pp. 287-296. doi:10.1139/t86-042
[17] D. M. Wood, “Soil Behavior and Critical State Soil Mechanics,” Cambridge University Press, Cambridge, 1990.

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