An unbiased Nitsche's formulation of large deformation frictional contact and self-contact

Rabii Mlika; Yves Renard; Franz Chouly

doi:10.1016/j.cma.2017.07.015

An unbiased Nitsche's formulation of large deformation frictional contact and self-contact

Rabii Mlika ¹ Yves Renard ^{2, 1} Franz Chouly ³

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

2 MMCS - Modélisation mathématique, calcul scientifique

ICJ - Institut Camille Jordan [Villeurbanne]

3 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

Abstract : In this paper we propose an extension of Nitsche’s method for frictional contact in large elastic deformations. In fact we develop an unbiased strategy in which no asymmetry is considered between contact surfaces, conversely to the master–slave strategy. This enables to take into account within the same formalism contact of two elastic bodies as well as self-contact. We provide a numerical study of the performance and robustness of the method.

Keywords : Nitsche's method frictional contact and self-contact large deformation contact unbiased formulation

Document type :

Journal articles

Domain :

Engineering Sciences [physics] / Mechanics [physics.med-ph]

Mathematics [math] / Numerical Analysis [math.NA]

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https://hal.archives-ouvertes.fr/hal-01427872
Contributor : Rabii Mlika <>
Submitted on : Thursday, September 21, 2017 - 11:48:00 AM
Last modification on : Friday, March 1, 2019 - 1:09:49 AM

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