基于非线性破坏准则的边坡稳定性极限分析

上限定理是求解岩土工程问题的有效工具。以上限定理为理论基础，分析边坡的稳定性问题，并考虑了岩土材料破坏准则的非线性特性。在非线性Mohr-Coulomb破坏准则下，采用条分法与极限分析上限法相结合的方法，对边坡稳定性进行分析。通过切线法引入非线性强度参数 、 ，推导了岩土材料在非线性破坏准则下的相关联流动法则，建立功能方程，推导了边坡直线滑裂面、折线滑裂面和光滑曲线滑裂面安全系数F的计算方程。采用数学规划法计算后与工程实际中常用的边坡稳定性分析方法进行对比，并获得安全系数F =1.0时的稳定性系数Ns。与已有的研究成果进行比较分析，结果表明了该方法的正确性及优越性

Limit analysis of slope stability based on nonlinear failure criterion

Upper bound limit analysis method is an effective tool in solving geotechnical engineering problems.Conventional calculations in stability of slopes are formulated assuming the soils obeying a linear Mohr-Coulomb yield criterion.However,experimental evidences show that the failure criteria of almost all geomaterials are nonlinear over a wide range of normal stresses.In this paper,the soil masses of slopes are assumed to follow a nonlinear Mohr-Coulomb failure criterion.Based on the nonlinear failure criteri...