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. https://resolver.caltech.edu/CaltechAUTHORS:HAUsiamjsc08
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Abstract
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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| 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. | ||||||
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| Subject Keywords: | elastodynamic, corotational formulation, energy conservative schemes, large displacements, small strains, contact problem, active set strategy | ||||||
| Issue or Number: | 5 | ||||||
| DOI: | 10.1137/070687827 | ||||||
| Record Number: | CaltechAUTHORS:HAUsiamjsc08 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:HAUsiamjsc08 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 12502 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 11 Dec 2008 18:29 | ||||||
| Last Modified: | 08 Nov 2021 22:29 |
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