Monte Carlo极限平衡有限元分析边坡稳定性

method combining FEM with the limit equilibrium method is proposed to analyze the slope stability problems. The stress of the slope is calculated by the FEM. Then，the safety factory of safety of the trial slip surface is calculated. The trial slip surfaces are verified frequently by the random walking method and make sure the safety factory of the slip surfaces gradually tends to less. The global minimum factor of safety can be found by comparing the results of a number of trial slip surfaces. The proposed method can solve the problems of falling into local minima，which most regular optimization methods are prone to be，by the random search methods. The proposed method can not only consider the influence of the deformation of the slope on the stability，but also evaluate the stability of the slope with single stability factor of safety which is well known in geotechnical engineering. The proposed method will have broad application to the slope stability analysis.