Journal
FINITE ELEMENTS IN ANALYSIS AND DESIGN
Volume 44, Issue 5, Pages 259-271Publisher
ELSEVIER
DOI: 10.1016/j.finel.2007.11.007
Keywords
hertzian contact; homogenization; discrete element method; granular material
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In this paper a three- dimensional discrete element method ( DEM) is used to model cohesionless granular materials. Two different microscopic constitutive equations are used to resolve the contacts between single particles in the DEM: First, a simple penalty type contact law and second, a more sophisticated Hertzian type contact law. Numerical tests in form of DEM simulations of a cuboid particle sample under compression and shearing are performed using both microscopic constitutive equations. The microscopic results of the DEM in terms of inter- particle contact forces and particle trajectories are transferred to macroscopic results in terms of stresses and strains by a homogenization approach. The macroscopic results are presented and compared for the different microscopic constitutive equations. (C) 2007 Elsevier B. V. All rights reserved.
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