边坡稳定性分析中的能量法及其工程应用

用能量法对边坡稳定性的进行判别，导出有限元数值计算中用能量原理表示的边坡失稳条件；边坡系统的失稳与系统刚度矩阵的非正定性一致。对边坡工程实例的应用表明，在进行有限元计算的同时，用能量原理对边坡稳定性进行判别是可行的，其所得结论不仅与现场实际情况相符，还与极限平衡法得出的结论相一致，且比极限平衡法更加明确。

Energy Method in Slope Stability Analysis and Its Applied Engineering Examples

Slope stability is judged by using energy method. The critical slope unstable condition that losing stability of slope is in conform with the non-positiveness of the system stiff matrix in FEM, is derived through energy principle. An applied slope engineering examples is given. The result shows that in the course of FEM calculating, it is reasible to use energy principle to judge the stability of slope. The conclusion is in conform not only with the in-situ actual situation, but also with the conclusion drawed from the limit-equilitrium method, and it is more explicit than limit-equilitrium method.