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Erschienen in:
2011 | OriginalPaper | Buchkapitel
A Concurrent Multiscale Approach to Non-cohesive Granular Materials
verfasst von : Christian Wellmann, Peter Wriggers
Erschienen in: Recent Developments and Innovative Applications in Computational Mechanics
Verlag: Springer Berlin Heidelberg
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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.