Three Dimensional Limit Analysis of Slope Stability with Nonlinear Criterion: Comparison the Effect of Volumetric Strain

Abstract

In view of the complexity of three-dimensional analysis, traditional slope stability analysis was mainly conducted in 2-dimensional scope, namely in the case of plane strain condition. Based on the 3-dimensional failure mechanism proposed by Michalowski, three-dimensional upper bound analysis of the soil slope was presented in this paper. The two different conditions of both with and without volumetric strain taken into consideration are analyzed. The nonlinear failure criterion was introduced into analysis by virtue of the generalized tangential technique method, and the earthquake action was analyzed on the basis of pseudo-static method. The formulas of external work rate and interior energy dissipation were deduced, and the stability factors of slope with respect to diverse parameters were calculated through optimization. The results show that, with the increase of B/H, the difference between the stability factors of the two conditions decrease. Moreover, the change law of the stability factors of the different conditions is similar.