一种边坡稳定分析的新方法

New method for slope stability analysis

结合有限单元法和极限平衡法,提出了一种边坡稳定计算的新方法,介绍了该方法的基本理论和公式推导。与边坡稳定经典计算方法的不同在于,不需要对条间力等条件进行人为简化和假定,且严格满足所有的平衡条件。数值算例分析表明了该方法的正确性和有效性,适用范围广,且计算公式相对简单,易于编程,收敛速度快。

A new method is proposed for the calculation of slope stability, and the basic theories and formula derivations of the method are introduced. The method is based on the idea of both the finite element method and the limit equilibrium method. In contrast with that of the classical limit equilibrium methods for the calculation of slope stability, the advantage of the new method is that it can strictly satisfy all the equilibrium conditions without factitious simplification and assumptions to the inter-slice forces, and only needs to specify a slip surface with any shape. The analyses of numerical examples indicate the validity and effectiveness of the proposed method, that is, it is practical to use for many applications and has advantages of relatively simple calculation formulas, easy programming and fast convergence in iterations.