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Energy-Consistent CoRotational Schemes for Frictional Contact Problems

Wohlmuth, Barbara; Salomon, Julien; Hauret, Patrice; Weiss, Alexander (2008), Energy-Consistent CoRotational Schemes for Frictional Contact Problems, SIAM Journal on Scientific Computing, 30, 5, p. 2488-2511. http://dx.doi.org/10.1137/060669863

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Type
Article accepté pour publication ou publié
Date
2008
Journal name
SIAM Journal on Scientific Computing
Volume
30
Number
5
Publisher
Society for Industrial and Applied Mathematics
Pages
2488-2511
Publication identifier
Metadata
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Author(s)
Wohlmuth, Barbara
Salomon, Julien
Hauret, Patrice
Weiss, Alexander
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.
Subjects / Keywords
small strains; large displacements; energy-conservative schemes; corotational formulation; Elastodynamic