Comparison of the macroscopic behavior of granular materials modeled by different constitutive equations on the microscale

authored by

Christian Wellmann, Claudia Lillie, Peter Wriggers

Abstract

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.

Organisation(s)

Institute of Continuum Mechanics

Type

Article

Journal

Finite Elements in Analysis and Design

Volume

44

Pages

259-271

No. of pages

13

ISSN

0168-874X

Publication date

04.03.2008

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Analysis, Engineering(all), Computer Graphics and Computer-Aided Design, Applied Mathematics

Electronic version(s)

https://doi.org/10.1016/j.finel.2007.11.007 (Access: Unknown)

 

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