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Published July 23, 2008 | Published
Journal Article Open

Energy-Consistent CoRotational Schemes for Frictional Contact Problems

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.

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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