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Nitsche-based finite element method for contact with Coulomb friction

Abstract : The aim of this paper is to provide some mathematical results for the discrete problem associated to contact with Coulomb friction, in linear elasticity, when finite elements and Nitsche method are considered. We consider both static and dynamic situations. We establish existence and uniqueness results under appropriate assumptions on physical (friction coefficient) and numerical parameters. These results are complemented by a numerical assessment of convergence.
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https://hal.archives-ouvertes.fr/hal-01654487
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Submitted on : Monday, December 4, 2017 - 9:19:53 AM
Last modification on : Thursday, January 28, 2021 - 10:26:03 AM

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Franz Chouly, Patrick Hild, Vanessa Lleras, Yves Renard. Nitsche-based finite element method for contact with Coulomb friction. European Conference on Numerical Mathematics and Advanced Applications ENUMATH 2017, University of Bergen, Sep 2017, Voss, Norway. pp.839-847, ⟨10.1007/978-3-319-96415-7_79⟩. ⟨hal-01654487⟩

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