Abstract
Soils are usually assumed to be homogeneous and dry/saturated in slope stability analyses most commonly. However, soils are actually nonmomogeneous and unsaturated commonly because of natural and man-made reasons. Cohesion nonhomogeneity and matric suction leads to a great difference of the shear strength of unsaturated soils from those of dry or saturated soils, resulting in quite a distinct stability condition. Based on limit analysis, the present study conducts a stability analysis of a three-dimensional (3D) slope in nonhomogeneous and unsaturated soils under steady flow. The external work rate by apparent cohesion is calculated using the variable-step Simpson method, thereafter the analytical expressions of required cohesion and the stability number of slope are derived from the energy balance equation, and consequently optimized solutions of the objectives are captured. Comparison is made to validate the present study, thereafter a parametric analysis is performed to explore the effects of soil cohesion nonhomogeneity, steady flow conditions, the air-entry pressure and 3D characteristics of slope on slope stability in different kinds of soils. The results indicate that slope stability is closely related to infiltration rate and cohesion nonhomogeneity, and there is a marked difference between 3D analysis and 2D analysis.
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