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Energy-Consistent CoRotational Schemes for Frictional Contact Problems

Hauret, P. and Salomon, J. and Weiss, A. A. and Wohlmuth, B. I. (2008) Energy-Consistent CoRotational Schemes for Frictional Contact Problems. SIAM Journal on Scientific Computing, 30 (5). pp. 2488-2511. ISSN 1064-8275. doi:10.1137/070687827.

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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.

Item Type:Article
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Weiss, A. A.0000-0003-4678-3939
Additional Information:© 2008 Society for Industrial and Applied Mathematics. Received by the editors April 10, 2007; accepted for publication (in revised form) February 5, 2008; published electronically July 23, 2008. This work was supported in part by the Deutsche Forschungsgemeinschaft, SFB 404, B8. P. Hauret is strongly indebted to Michael Ortiz for a great postdoctoral experience at Caltech. This author’s [P.H.] work was supported by the American Department of Energy through Caltech’s ASCI ASAP Center for the Simulation of the Dynamic Response of Materials.
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)SFB 404, B8
Department of EnergyUNSPECIFIED
Subject Keywords:elastodynamic, corotational formulation, energy conservative schemes, large displacements, small strains, contact problem, active set strategy
Issue or Number:5
Record Number:CaltechAUTHORS:HAUsiamjsc08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12502
Deposited By: Archive Administrator
Deposited On:11 Dec 2008 18:29
Last Modified:08 Nov 2021 22:29

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