LOWER BOUND LIMIT STUDY ON PLASTIC LIMIT ANALYSIS OF ROCK SLOPE USING FINITE ELEMENTS BASED ON NONLINEAR PROGRAMMING
基于非线性规划的岩质边坡有限元塑性极限分析下限法研究

Based on the theory of lower bound limit,finite element discreteness technique and nonlinear mathematical programmingt,he finite element plastic limit analysis method is used to evaluate the stability of rock slope.By using nonlinear Mohr-Coulomb yield condition,equilibrium condition,stress boundary condition and stress discontinuity equilibrium conditiont,he finite element modes of joint elements with zero thickness and equal thickness are proposed in the plastic limit analysis;and the nonlinear mathematical programming models of finite element plastic limit analysis,which contains joint elements,are established.Then,the optimization strategy of nonlinear mathematical programming problem is provided.At last,the stabilities of three 2D slopes are analyzed with the presented method.The results are compared with those obtained by other approaches.The feasibility of the method is verified.