**A plasticity model with microstructure evolution for quasi-static
granular flows**

J Sun and S Sundaresan, IUTAM-ISIMM SYMPOSIUM ON MATHEMATICAL MODELING AND PHYSICAL INSTANCES OF GRANULAR FLOWS, 1227, 280-289 (2010).

DOI: 10.1063/1.3435398

We develop a plasticity model to predict complex theological behaviors of quasi-static granular flows. The stress is decomposed to a pressure term and a deviatoric term with a macroscopic friction coefficient. The closures to the pressure and the friction coefficient are linked to the microstructure evolution, which is modeled by the coordination number and fabric evolution equations. The material constants in the model are functions of particle-level properties and are calibrated using the data from simulations of steady and unsteady simple shear using the discrete element method (DEM).

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