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

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.

Mots clés: Nitsche's method; frictional contact and self-contact; large deformation contact; unbiased formulation

Domaines: Mécanique [physics.med-ph]; Analyse numérique [math.NA]

Rabii Mlika, Yves Renard, Franz Chouly. An unbiased Nitsche's formulation of large deformation frictional contact and self-contact. Computer Methods in Applied Mechanics and Engineering, 2017, 325, pp.265-288. ⟨10.1016/j.cma.2017.07.015⟩. ⟨hal-01427872v2⟩