Details
| Original language | English |
|---|---|
| Pages (from-to) | 46-58 |
| Number of pages | 13 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 205-208 |
| Issue number | 1 |
| Publication status | Published - 30 Dec 2010 |
Abstract
A concurrent two-scale and two-method approach for modeling the mechanical behavior of dry frictional non-cohesive granular materials is presented. In domains of large eventually discontinuous deformation the material is modeled on the grain scale using a three-dimensional discrete element method. In the remaining domain the material is considered continuous and modeled by the finite element method using an elasto-plastic constitutive equation whose parameters are fit to the particle model via a homogenization scheme. The discrete and finite element models are coupled at the interface by the Arlequin method. An overlapping domain is introduced where the overall virtual work is interpolated between both models and compatibility is assured by kinematic constraints. For this purpose the discrete particle displacements are split into a fine and coarse scale part and equality of the coarse scale part and the continuum solution is enforced through the penalty method.
Keywords
- Arlequin method, Discrete element method, Granular material, Homogenization, Multimodel, Multiscale
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 205-208, No. 1, 30.12.2010, p. 46-58.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A two-scale model of granular materials
AU - Wellmann, Christian
AU - Wriggers, Peter
PY - 2010/12/30
Y1 - 2010/12/30
N2 - A concurrent two-scale and two-method approach for modeling the mechanical behavior of dry frictional non-cohesive granular materials is presented. In domains of large eventually discontinuous deformation the material is modeled on the grain scale using a three-dimensional discrete element method. In the remaining domain the material is considered continuous and modeled by the finite element method using an elasto-plastic constitutive equation whose parameters are fit to the particle model via a homogenization scheme. The discrete and finite element models are coupled at the interface by the Arlequin method. An overlapping domain is introduced where the overall virtual work is interpolated between both models and compatibility is assured by kinematic constraints. For this purpose the discrete particle displacements are split into a fine and coarse scale part and equality of the coarse scale part and the continuum solution is enforced through the penalty method.
AB - A concurrent two-scale and two-method approach for modeling the mechanical behavior of dry frictional non-cohesive granular materials is presented. In domains of large eventually discontinuous deformation the material is modeled on the grain scale using a three-dimensional discrete element method. In the remaining domain the material is considered continuous and modeled by the finite element method using an elasto-plastic constitutive equation whose parameters are fit to the particle model via a homogenization scheme. The discrete and finite element models are coupled at the interface by the Arlequin method. An overlapping domain is introduced where the overall virtual work is interpolated between both models and compatibility is assured by kinematic constraints. For this purpose the discrete particle displacements are split into a fine and coarse scale part and equality of the coarse scale part and the continuum solution is enforced through the penalty method.
KW - Arlequin method
KW - Discrete element method
KW - Granular material
KW - Homogenization
KW - Multimodel
KW - Multiscale
UR - http://www.scopus.com/inward/record.url?scp=84655168094&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2010.12.023
DO - 10.1016/j.cma.2010.12.023
M3 - Article
AN - SCOPUS:84655168094
VL - 205-208
SP - 46
EP - 58
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 1
ER -