A fictitious domain method for frictionless contact problems in elasticity using Nitsche's method

Mathieu Fabre; Jérôme Pousin; Yves Renard

A fictitious domain method for frictionless contact problems in elasticity using Nitsche's method

Mathieu Fabre ¹ Jérôme Pousin ¹ Yves Renard ^{1, 2}

1 ICJ - Institut Camille Jordan [Villeurbanne]

2 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]

Abstract : In this paper, we develop and analyze a finite element fictitious domain approach based on Nitsche's method for the approximation of frictionless contact problems of two deformable elastic bodies. In the proposed method, the geometry of the bodies and the boundary conditions, including the contact condition between the two bodies, are described independently of the mesh of the fictitious domain. We prove that the optimal convergence is preserved. Numerical experiments are provided which confirm the correct behavior of the proposed method.

Keywords : Unilateral contact elasticity Stabilisation Nitsche's method finite element method Fictitious domain

Type de document :

Article dans une revue

SMAI Journal of Computational Mathematics, Société de Mathématiques Appliquées et Industrielles (SMAI), 2016, 2, pp.19--50

Domaine :

Mathématiques [math] / Analyse numérique [math.NA]

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https://hal.archives-ouvertes.fr/hal-00960996
Contributeur : Mathieu Fabre <>
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Dernière modification le : vendredi 30 mars 2018 - 11:36:07
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A fictitious domain method for frictionless contact problems in elasticity using Nitsche's method

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