Energy-Consistent CoRotational Schemes for Frictional Contact Problems

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 corot...

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Bibliographic Details
Published in:SIAM journal on scientific computing 2008-01, Vol.30 (5), p.2488-2511
Main Authors: Hauret, P., Salomon, J., Weiss, A. A., Wohlmuth, B. I.
Format: Article
Language:English
Subjects:
Decomposition
Deformation
Energy
Mathematics
Optimization and Control
Simulation
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Summary: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.
ISSN:1064-8275
1095-7197
DOI:10.1137/070687827