A series of basic calculation tests is used to verify the theoretical model and numerical method. Smoothed particle hydrodynamic method is used to discretely solve the new model, and the relationship between smoothed particles and actual particles is illustrated. The transitional relationship between these two models is deduced in detail, and the elastic–viscoplastic constitutive theory that describes the movement of dense granular media is more in line with physical reality. After reaching the plastic yield criterion, a viscoplastic constitutive model based on rheology is used to describe the liquid phase.

A linear elastic model is used to describe the solid phase. In this study, a new constitutive model describing the motion of dense granular media is established. Simultaneous modeling and description of these two states remain a challenge. Dense granular media cannot only show solid-like properties when stacked but can also flow like a liquid, exhibiting properties of fluids. The problem of the movement of dense granular media is common in industrial processes.

G.r liu 2005 meshfree