基于刚性块体系统的岩质边坡稳定性上限法研究

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Abstract The block rock slope is investigated in this paper，and the rock slope is discretized into three- dimensional geometries which contain rigid blocks and interfaces. Then based on the upper bound theorem of plastic limit analysis and nonlinear mathematical programming，the three-dimensional upper bound method of rigid blocks assemblages interacting through interfaces is presented. The translation displacement rate and angular displacement rate of blocks and interfaces are taken as unknown parameters in the proposed method. Based on the deformation compatibility conditions of rigid blocks and interfaces，plastic flow conditions that take into account associated flow rules，yield conditions，equilibrium equations，boundary conditions and additional constraints conditions，the nonlinear programming models of upper bound limit analysis are established，which could solve the strength safety factors and overload safety factors of rock slopes. And then，the optimization strategy of nonlinear mathematical programming problem is provided. Finally，three cases of rock slopes are used to study stability，and the rigorous upper limit values of the safety factor of slope are obtained. The results are compared with those produced by other classical approaches，and the validity of the proposed method is indicated.

Key words： slope engineering rock slope plastic limit analysis block assemblages safety factor

Received: 20 May 2013

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https://rockmech.whrsm.ac.cn/EN/Y2014/V33/Isl/2844

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