Analysis of granular simple shear flows with a rate-dependent model

Abstract

The theory of the thermodynamically consistent rate-dependent model for flow of granular materials is reviewed. The material coefficients are evaluated by matching the model with the kinetic theory of Lun et al. in the limit of nearly elastic spherical particles. The special case of simple shear flow of granular materials in the grain inertia regime is studied in detail. The predicted stresses are compared with a previously derived rate-dependent model and the existing digital simulation data for a range of solid volume fraction. It is shown that the use of the new material coefficients improves the agreement between the model predictions and the simulation and experimental data.