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A constitutive model with microstructure evolution for flow of rate-independent granular materials

Published online by Cambridge University Press:  15 July 2011

JIN SUN*
Affiliation:
School of Engineering, University of Edinburgh, Edinburgh EH9 3JL, UK
SANKARAN SUNDARESAN
Affiliation:
Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08544, USA
*
†Email address for correspondence: j.sun@ed.ac.uk
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Abstract

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A constitutive model is developed for the complex rheology of rate-independent granular materials. The closures for the pressure and the macroscopic friction coefficient are linked to microstructure through evolution equations for coordination number and fabric. The material constants in the model are functions of particle-level properties and are calibrated using data generated through simulations of steady and unsteady simple shear using the discrete element method (DEM). This model is verified against DEM simulations at complex loading conditions.

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Type
Papers
Copyright
Copyright © Cambridge University Press 2011