中文摘要：

最小势能法是边坡稳定性分析的一种新方法,其关键在于确定滑体的总体势能函数。针对任意形状滑裂面的三维边坡,选取滑体中的某一单元体为研究对象,通过单元体上的静力平衡关系得到滑面上任一点的剪应力大小,提出了一种更加简便且合理的剪切势能计算方法,改进了边坡三维最小势能稳定性分析方法。相比于以往的研究,该方法在推求剪切势能函数时无需假定剪应力的方向,同时避免了剪应力方向向量繁琐的计算过程。为验证该方法的合理性,运用该方法计算了两个边坡的安全系数,得到了与其余分析方法较为一致的结果,表明该方法可以用于对称以及非对称滑面边坡的稳定性分析。

英文摘要：

The method of minimum potential energy is a new approach to analyze the stability of slope,and the key is to determine the overall potential energy function of sliding mass. Aiming at the three- dimension slope with sliding surface in arbitrary shape,taking a certain unit body of sliding mass as researching object,the shear stress on any point of sliding surface can be obtained through the static equilibrium relationship on the unit body. A more simple and reasonable method for solving the shear potential energy was put forward,and the stability analysis method of three- dimension slope based on improved minimum potential energy was improved. Compared with previous studies,this method need not assume the direction of shear stress when deducing shear potential energy function,and avoid the complex calculation process of shear stress directional vector. To validate the rationality of this method,the safety coefficients of two slope were calculated by this method,and the results were relatively consistent with other analysis methods. It showed that the method can be applied in stability analysis of slope with symmetry and non- symmetry sliding surface.