基于非线性破坏准则的边坡稳定性极限分析  

Limit analysis of slope stability based on nonlinear failure criterion

作　　者：张迎宾[1,2] 李亮[1] 赵炼恒[1] 姚辉[1] 任东亚[1] 

机构地区：[1]中南大学土木工程学院,长沙410075 [2]九州大学大学院土木与结构工程学院

出　　处：《岩土力学》2011年第11期3312-3318,共7页Rock and Soil Mechanics

基　　金：铁道部科技研究开发计划重点资助项目(No.2008G032–3);西部交通建设科技项目(No.2006318802111)

摘　　要：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ct、?t,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。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 criterion,the paper studies the problem of slope stability by combining the slice method and limit analysis upper bound method.The nonlinear strength parameters cohesion ct and internal friction angle ？ tare introduced through the tangent method.Joined influence of nonlinearity is established.The equations of equivalent in rates of external work and internal energy dissipation are established based on the joined influence.The equations of factors of safety for slope with different slide surface（straight line,broken-line,and circle） are deduced and the plastic analysis upper limit solutions are calculated well by these equations.A classical slope calculation case shows that the method is of correctness and high precision which consists with previous achievements.The new method can be used to guide the slope stability analysis based on the nonlinear failure criterion on the plastic upper limit theorem.

关 键 词：非线性破坏准则 极限分析上限法 安全系数 稳定性系数 

分 类 号：TU432[建筑科学—岩土工程]