Elastic-viscoplastic constitutive theory of dense granular flow and its three-dimensional numerical realization

Abstract

The problem of the movement of dense granular media is common in industrial processes. Dense granular media cannot only show solid-like properties when stacked but can also flow like a liquid, exhibiting properties of fluids. Simultaneous modeling and description of these two states remain a challenge. In this study, a new constitutive model describing the motion of dense granular media is established. A linear elastic model is used to describe the solid phase. After reaching the plastic yield criterion, a viscoplastic constitutive model based on rheology is used to describe the liquid phase. 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. Smoothed particle hydrodynamic method is used to discretely solve the new model, and the relationship between smoothed particles and actual particles is illustrated. A series of basic calculation tests is used to verify the theoretical model and numerical method. Through a comparison with experiments and other numerical results, it is shown that the theoretical model and numerical method are suitable for the analysis of the movement of dense granular media and have important practical value for the preparation and processing of similar materials, three-dimensional printing, and mineral mining.