The depth integration algorithm simplifies the three-dimensional model of landslide sliding along the surface to a two-dimensional model

enhancing solving efficiency by diminishing the number of unknowns in the governing equation. Material point method (MPM) has the advantages of both grid based method and meshless method

and can avoid mesh distortion when simulating large landslide deformation. A numerical model for landslides has been developed using the depth-integral coupled material point method

with a detailed description of the algorithm's specific process provided. Utilizing the influence domain material point method (IDMPM)

two benchmark tests were conducted on typical landslide scenarios: one with a non-inclined

smooth bottom

and the other with an inclined

non-smooth slope. The depth integral coupled material point method model demonstrates high accuracy in predicting key slip parameters

including remote distance

velocity

and depth. In contrast to the conventional material point method

the depth integral coupled material point method model significantly enhances operational efficiency. Furthermore

the research outcomes offer a robust theoretical foundation and timely support for analyzing and predicting the extent of damage in landslide geological disasters

conducting hazard assessments

and facilitating emergency response.