基于非线性破坏准则的被动土压力极限上限分析  

Upperbound limit analysis of passive earth pressure based on nonlinear failure criterion

作　　者：王恭兴[1] 张国祥[2] 

机构地区：[1]中南勘测设计研究院,湖南长沙410014 [2]中南大学土木建筑学院,湖南长沙410004

出　　处：《岩土工程学报》2009年第12期1907-1912,共6页Chinese Journal of Geotechnical Engineering

摘　　要：针对刚性挡土墙的墙后被动土压力采用非线性破坏准则,提出利用多切线法引入瞬时变量C t和?t,在塑性极限上限定理的基础上,建立了被动土压力问题的多三角形破坏机构,推导了基本计算公式,并根据序列二次规划法对三角形单元划分方式进行优化,从而得到最小的上限解。通过与已有研究成果进行对比分析,表明计算结果合理,是一种严格的上限解。The influence of a nonlinear strength envelope is considered in the framework of the limit analysis of plasticity. The passive earth pressure on the rigid walls is estimated using the upper bound theorem of the limit analysis in conjunction with the nonlinear failure criterion. A generalized tangential technique, multi-tangential line to the nonlinear failure criterion, is used to import the variable Ct and φt for the first time. Based on the upper bound theory, the multi-triangle failure mechanism is considered, some basic formulae are deduced, and the minimum upper bound solutions of passive earth pressure are presented by applying a nonlinear sequential quadratic programming （SQP） algorithm. From the numerical results, it can be seen that the solutions are reasonable and rigorous upper-bound ones.

关 键 词：被动土压力 非线性破坏准则 上限定理 序列二次规划 

分 类 号：TU457[建筑科学—岩土工程]