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| LOWER BOUND LIMIT STUDY ON PLASTIC LIMIT ANALYSIS OF ROCK SLOPE USING FINITE ELEMENTS BASED ON NONLINEAR PROGRAMMING |
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Abstract Based on the theory of lower bound limit,finite element discreteness technique and nonlinear mathematical programming,the 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 condition,the 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.
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Received: 19 June 2006
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LUAN Hengjie1, 2, JIA Zhiwei1, 2, ZHANG Sunhao1, 2*, JIANG Yujing1, 2, 3, LIU Xianglan4, ZHANG Guangchao1, 2, TANG Ziqi1, 2, WU Shuo1, ZHANG Fengyuan2 . Influence of anchorage parameters on the shear mechanics and acoustic emission characteristics of rock joints[J]. , 2026, 45(6): 1639-1656. |
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