Simulation and analysis of slope stability and post-failure movement of soil slopes using the material point method

To achieve a unified numerical simulation method for soil slope stability and post-failure landslide movement, a classic standard slope example was selected. Based on the material point method, the slope stability was first calculated and analyzed to determine the location of the most critical slip surface. The obtained results of the most critical slip surface were compared with the benchmark solution to verify the correctness and effectiveness of the simulation. On this basis, using the material point method, a basal friction algorithm was employed to calculate the frictional interaction between the landslide and the sliding surface, simulating the movement process after slope instability and failure. The influence of parameters such as basal friction angle, internal friction angle, and elastic modulus on the movement distance of the landslide front and the variation of kinetic energy over time were discussed. The results indicate that the material point method can effectively achieve integrated analysis of slope stability and post-failure landslide movement. The internal friction angle of the soil exerts a more significant influence on the movement distance of the landslide front and the time required for the landslide to reach a stable state. The elastic modulus has a certain effect on the peak value of the kinetic energy variation process but has little influence on the time to reach the peak kinetic energy and the time to achieve kinetic energy stability.