The invention relates to a rock-soil medium progressive failure, solid-like. The smooth particle dynamics (SPH) method is improved from three aspects: boundary condition, constitutive relation and artificial stress, so that the SPH can reproduce the progressive failure of rock and soil media under strong earthquake dynamic condition, solid-like-liquid phase change behavior, constructing slip-freeboundary modified by seismic wave velocity to apply seismic wave, creating free-field boundary to prevent seismic wave reflection, using particle rheology for reference, combining Drucker-Prager constitutive model and Newtonian fluid constitutive model construct a new unified constitutive model, which can describe the phase from sliding (solid-like) to flowing (liquid-like) in geotechnical media.The invention effectively reproduces the kinematic characteristics of the start-up, high-speed flow and accumulation process of the landslide, analyzes the progressive failure of the rock and soil medium and the penetration process of the sliding surface under the action of the strong earthquake, thereby accurately predicting the sliding distance, and reasonably assesses the earthquake-triggered landslide. The hazard caused by debris flow provides scientific basis for the planning and design of earthquake prevention and disaster reduction.