Slope Stability Analysis Based on the Element-Free Galerkin Method

Abstract

In this paper, element-free Galerkin method was used to solve problems about the evaluation of slope stability. Based on the basic principle of element-free Galerkin method, a matlab program was compiled. In the program, moving least squares method was used to construct the displacement function. And the integration scheme of four Gauss integration point background grid was used to integrate. What’s more, Lagrange multiplier method was used to apply the displacement boundary conditions. When evaluating the stability of slope, the main indices which influence slope stability were determined and the analytic hierarchy process was used to determine the weight of the indices. Then the data of slope was input into the element-free Galerkin method program. By changing the data of the main indices, we can get the change value of the nodal displacement. So we can get the final weight of the indices based on the discussing of the element-free Galerkin method and the analytic hierarchy process. Finally, fuzzy comprehensive evaluation model was built. What’s more, we chose a slope in Changji expressway to be evaluated. The data of the slope was input into the program of fuzzy comprehensive evaluation model, and the result is basically stable which coincides with actual situation.