非线性破坏准则对竖直边坡稳定性分析的影响  

INFLUENCES OF NONLINEAR FAILURE CRITERION ON STABILITY ANALYSIS OF VERTICAL CUT USING NONLINEAR SQP ALGORITHM

作　　者：杨小礼[1] 李亮[1] 刘宝琛[1] 

机构地区：[1]中南大学土木建筑工程学院,长沙410075

出　　处：《岩石力学与工程学报》2004年第4期592-596,共5页Chinese Journal of Rock Mechanics and Engineering

基　　金：湖南省中青年基金(OOJZY2140)资助项目。

摘　　要：在上限分析理论基础上,研究非线性Mohr-Coulomb破坏准则下的竖直边坡稳定性问题。首先,通过“切线法”引进变量;其次,根据上限定理对边坡稳定性问题建立含有变量的速度场,将稳定性问题变为含有多变量的非线性规划问题;最后,根据“序列二次规划算法”求出上限非线性规划问题的最优解。通过上限解和前人的研究成果的比较表明,该方法是有效和正确的。A new technique is described for computing rigorous upper bound on stability factors of vertical cut under the condition of plane strain. A perfectly plastic soil model is assumed. The failure of soil is governed by nonlinear yield criterion. Sequential quadratic programming(SQP) is used in conjunction with the limit analysis of classical plasticity theory. A new kinematically admissible velocity field is constructed. When using linear failure criterion that exceeds the actual nonlinear failure criterion,the stability factor formulation of the upper bound theorem leads to a classical nonlinear programming problem,where the objective function,which is to be minimized,corresponds to the dissipated power. The upper bound optimization problem may be solved efficiently by applying a nonlinear SQP algorithm,and stability factors are obtained,which agree well with previous achievements.

关 键 词：岩土力学 边坡稳定性 上限定理 序列二次规划 非线性破坏准则 

分 类 号：TU457[建筑科学—岩土工程]