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

  • Authors:

  • C. Wellmann;C. Lillie;P. Wriggers

  • Affiliations:

  • Institute of Mechanics and Computational Mechanics, Leibniz-University of Hannover, Appelstr. 9a, D-30167 Hannover, Germany;Institute of Mechanics and Computational Mechanics, Leibniz-University of Hannover, Appelstr. 9a, D-30167 Hannover, Germany;Institute of Mechanics and Computational Mechanics, Leibniz-University of Hannover, Appelstr. 9a, D-30167 Hannover, Germany

  • Venue:
  • Finite Elements in Analysis and Design
  • Year:
  • 2008

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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.