A Concurrent Multiscale Approach to Non-cohesive Granular Materials

authored by

Christian Wellmann, Peter Wriggers

Abstract

A concurrent two-scale approach for frictional non-cohesive granular materials is presented. In domains of large deformation the material is modeled on the grain scale by a 3D discrete element method. Elsewhere the material is considered continuous and modeled by the finite element method using a non-associative Mohr-Coulomb model whose parameters are fit to the particle model via a homogenization scheme. The discrete and finite element model are coupled by the Arlequin method. Therefore an overlapping domain is introduced in which the 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.

Organisation(s)

Institute of Continuum Mechanics

Type

Contribution to book/anthology

Pages

257-264

No. of pages

8

Publication date

2011

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Engineering(all)

Electronic version(s)

https://doi.org/10.1007/978-3-642-17484-1_29 (Access: Unknown)

 

Details in the research portal "Research@Leibniz University"