基于平动加转动运动场的边坡稳定上限分析

基于塑性力学上限理论的边坡稳定安全系数上限解法是边坡稳定性分析的常用方法之一，其关键在于构造合适的几何容许运动场。基于摩尔-库仑屈服准则和相关流动法则，将滑动体进行条分，提出了一种同时考虑条块平动和转动的容许运动场及相应的稳定安全系数求解方法。该方法不仅具有适用性好、方法简单的特点，数值分析还表明，该方法能给出比基于纯平动运动场更小、非常接近Morgenstern-Price法的稳定安全系数计算结果。

Upper bound limit analysis of slope stability based on translational and rotational failure mechanism

The upper bound limit analysis approach, which is based on the upper bound theorem, is one of the familiar methods for slope stability problems. The key of the approach is the construction of kinematically admission failure pattern. According to the Mohr-Coulomb’s yield criterion and its associative flow rule, a novel slope stability analysis method is presented. In the method, the collapse mechanism is assumed to be in the form of rigid blocks analogous to slices in traditional slice methods and takes the translational and rotational velocities of slice into account at the same time. The purely translational and purely rotational velocity fields are two special cases of the presented mechanism of failure. Numerical examples illustrate that the proposed approach gives lower factor of safety than the purely translational one, and the results are also compared with those given by the conventional limit equilibrium method.