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Energy-Consistent CoRotational Schemes for Frictional Contact Problems

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Date
2008
Dewey
Probabilités et mathématiques appliquées
Sujet
small strains; large displacements; energy-conservative schemes; corotational formulation; Elastodynamic
Journal issue
SIAM Journal on Scientific Computing
Volume
30
Number
5
Publication date
07-2008
Article pages
2488-2511
Publisher
Society for Industrial and Applied Mathematics
DOI
http://dx.doi.org/10.1137/060669863
URI
https://basepub.dauphine.fr/handle/123456789/727
Collections
  • CEREMADE : Publications
Metadata
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Author
Wohlmuth, Barbara
Salomon, Julien
Hauret, Patrice
Weiss, Alexander
Type
Article accepté pour publication ou publié
Abstract (EN)
In this paper, we consider the unilateral frictional contact problem of a hyperelastic body in the case of large displacements and small strains. In order to retain the linear elasticity framework, we decompose the deformation into a large global rotation and a small elastic displacement. This corotational approach is combined with a primal-dual active set strategy to tackle the contact problem. The resulting algorithm preserves both energy and angular momentum.

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