蒙特卡洛法与有限元结合搜索边坡临界滑动面

把蒙特卡洛随机搜索法与有限元法相结合,搜索边坡的临界滑动面及其对应的最小安全系数.通过随机跳跃法生成一定数量的初始试算滑动面,根据有限元分析的应力和孔隙水压力结果计算给定滑动面的安全系数,利用随机走步法不断更新试算滑动面,使试算滑动面安全系数不断减小,最终确定边坡临界滑动面及其对应的最小安全系数.本方法通过随机搜索,克服了大多数常规优化方法易陷入安全系数局部极小的问题.数值算例分析说明了本文提出的确定边坡临界滑动面的方法的有效性和优越性.

Locating sritical slip surfaces by a method combining monte carlo technique and FEM

A new method, which combines the Monte Carlo technique and the finite element method, is proposed to locate the critical slip surfaces of slopes. A number of initial trial slip surfaces are generated by the random jumping method, and the factors of safety are calculated with the aid of the stress fields and the pore water pressure field obtained from the finite element analysis. The trial surfaces are verified and refined frequently by the random walking method and tend gradually to the critical slip surface, and the global minimum factor of safety can be found by comparing the results of the trial slip surfaces. The proposed method can solve the problem of falling into local minima, which most of the regular optimization methods are prone to, by the random search methods. Numerical examples are analyzed to show the advantages of the proposed method.