Abstract
According to characteristics of soils in failure, a sliding mechanism of slopes in limit state is divided into five parts, for building a slip line field satisfying all possible boundary conditions. An algorithm is built to obtain the rigorous solution approaching upper and lower bound values simultaneously, which satisfies the static boundary and the kinematical boundary based on the slip line field, while stress discontinuity line and velocity discontinuity line are key points. This algorithm is copared with the Spencer method to prove its feasibility with a special example. The variation of rigorous solution, including an ultimate load and a sliding belt the rigid body sliding along rather than a single slip surface for friction-type soils, is achieved considering hydrostatic pressure with soil parameters changing.
Highlights
The stability of slopes has been regarded as a classic and difficult problem for engineers because of less boundary constraints, compared with the earth pressure of retaining wall and the bearing capacity of foundation
Based on the extremum principal [11], the lower bound (LB) [12, 13] solution can be got by static analysis for limit equilibrium problems and the upper bound (UB) [14,15,16,17] solution can be got by dynamic analysis
To analyze the slope stability based on the limit analysis method (LAM), the slip line field is constructed according to the stress boundary conditions; one of which is a noncharacteristic line stress boundary with normal stress and shear normal stress, and the other one is the interface of a rigid region and a plastic region or a stress discontinuity surface [18]
Summary
The stability of slopes has been regarded as a classic and difficult problem for engineers because of less boundary constraints, compared with the earth pressure of retaining wall and the bearing capacity of foundation. The strength reduction method (SRM) [8,9,10] is the main finite element slope stability method currently employed, by which stress field and displacement of soils in slopes can be calculated with an elastic-plastic constitutive model to get the safety factor. Boundary condition according to the characteristics of the stress discontinuity line and the velocity discontinuity line and compiles an algorithm to gain the distribution of the sliding belt and the ultimate capacity of the slope considering the hydrostatic pressure. It indicates the variation of the ultimate bearing capacity and the sliding belt with different parameters. The application of this algorithm is proved by comparing with the Spencer’s method
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