中文摘要：

提出了一种基于上限分析的岩土边坡稳定有限元数值分析方法。基于Mohr-Coulumb屈服准则,将塑性极限分析中的机动极限定理以及有限元方法运用到岩土边坡稳定分析中,通过把外载或自重的超载系数作为目标函数,最终将上述问题归结为求解一个带等式约束的非线性规划问题。借助数学规划中的非线性理论,可构造出上述问题的直接迭代求解算法。最后给出了相关算例的分析,计算结果表明该方法能为岩土边坡的工程设计和分析提供一种有效计算手段。

英文摘要：

This paper presents a finite element numerical method to evaluate the rock and soil slope stability based on the upper bound limit analysis.In light of Mohr-Coulumb yield criterion,the solution of slope stability is deduced to a nonlinear programming by means of the kinematic limit analysis and of finite element method from the plastic limit analysis,where the loading factors of external load or self-weight are the objective function.According to the nonlinear theory of mathematical programming,a direct iterative algorithm is constructed.Some examples are given to illustrate the validity of the method.The results show that the method is effective to the design and analysis of slope stability.