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Volume 34 Issue 8
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Abstract
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LI Ze, ZHANG Xiao-yan, WANG Jun-xing. Lower bound method for stability of rock slopes based on rigid block assemblages[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(8): 1534-1540.
Citation: LI Ze, ZHANG Xiao-yan, WANG Jun-xing. Lower bound method for stability of rock slopes based on rigid block assemblages[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(8): 1534-1540.
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Lower bound method for stability of rock slopes based on rigid block assemblages

  • (1. Engineering Mechanics Department of Kunming University of Science and Technology, Kunming 650500, China; 2. School of Electrical Power Engineering of Kunming University of Science and Technology, Kunming 650051, China; 3. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China)

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  • Received Date: October 23, 2011
  • Published Date: August 19, 2012
    Graphical Abstract
    • Abstract
  • The block rock slope is made up of blocks and structural surfaces, and the stability of the rock mass is controlled by the existence and the strength of structural surface. Researches on the stability of block rock slope are carried out by using the lower bound theorem of plastic limit analysis, block discretization technique and mathematical programming method. Firstly, the slope is discretized into block assemblages that consist of rigid blocks and structural surface, considering the integral interaction of each other. And then, regarding the safety factor of slope stability as the objective function, the nonlinear mathematical programming models are established based on the lower bound theorem, which satisfy the equilibrium equations, yield conditions and static boundary conditions. The solution strategies of models are put forward, and the calculation programs are compiled. Finally, four classic examples are analyzed by means of the proposed method, and the rigorous lower limit values of the strength safety coefficient of slope, and the corresponding statically admissible stress fields are obtained. The results are compared with those produced by other classical approaches, and the validity of the proposed method is indicated.
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    • References (17)
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