Details
| Original language | English |
|---|---|
| Pages (from-to) | 259-271 |
| Number of pages | 13 |
| Journal | Finite Elements in Analysis and Design |
| Volume | 44 |
| Issue number | 5 |
| Publication status | Published - 4 Mar 2008 |
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.
Keywords
- Discrete element method, Granular material, Hertzian contact, Homogenization
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Engineering(all)
- Computer Science(all)
- Computer Graphics and Computer-Aided Design
- Mathematics(all)
- Applied Mathematics
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In: Finite Elements in Analysis and Design, Vol. 44, No. 5, 04.03.2008, p. 259-271.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Comparison of the macroscopic behavior of granular materials modeled by different constitutive equations on the microscale
AU - Wellmann, Christian
AU - Lillie, Claudia
AU - Wriggers, Peter
PY - 2008/3/4
Y1 - 2008/3/4
N2 - 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.
AB - 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.
KW - Discrete element method
KW - Granular material
KW - Hertzian contact
KW - Homogenization
UR - http://www.scopus.com/inward/record.url?scp=40249093036&partnerID=8YFLogxK
U2 - 10.1016/j.finel.2007.11.007
DO - 10.1016/j.finel.2007.11.007
M3 - Article
AN - SCOPUS:40249093036
VL - 44
SP - 259
EP - 271
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
SN - 0168-874X
IS - 5
ER -