非均质土坡的有限元塑性极限分析

在评价现有边坡稳定分析方法的基础上，提出了边坡稳定的有限元塑性极限分析方法。借助有限单元思想和线性规划，建立了边坡稳定的数学规划模型，由此可以求出安全系数的上下限解，从而，界定了边坡的安全范围，同时，可以给出下限状态下的应力场和上限状态下的速度场。以一个经典非均质土坡的边坡稳定作为算例，比较了多种方法的分析结果，论证了本方法的正确性。

Plastic limit analysis of heterogeneous soil slope using finite elements

On the basis of appraising the existing analytical methods of slope stability, the plastic limit analysis using finite elements is put forward to analyze the slope stability. By using the idea of finite element method and linear programming, the limit analysis models of mathematical programming for slope stability are established; the model can evaluate the safety factors of lower bound and upper bound, and can give the stress field of lower bound and the velocity field upper bound at the same time. Finally, taking a classical heterogeneous soil slope for example of calculating slope stability, the comparisons among the analytical results of various methods are made. The results show the correctness of the method and the program.