An overview of recent results on Nitsche's method for contact problems - Archive ouverte HAL Access content directly
Conference Papers Year : 2017

An overview of recent results on Nitsche's method for contact problems

Abstract

We summarize recent achievements in applying Nitsche's method to some contact and friction problems. We recall the setting of Nitsche's method in the case of unilateral contact with Tresca friction in linear elasticity. Main results of the numerical analysis are detailed: consistency, well-posedness, fully optimal convergence in $H^1(\Omega)$-norm, residual-based a posteriori error estimation. Some numerics and some recent extensions to multi-body contact, contact in large transformations and contact in elastodynamics are presented as well.
Fichier principal
Vignette du fichier
overview-nitsche-contact_v2.pdf (1.95 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01403003 , version 1 (25-11-2016)
hal-01403003 , version 2 (01-02-2019)

Identifiers

Cite

Franz Chouly, Mathieu Fabre, Patrick Hild, Rabii Mlika, Jerome Pousin, et al.. An overview of recent results on Nitsche's method for contact problems. UCL Workshop 2016, UCL (University College London), Jan 2016, London, United Kingdom. pp.93-141, ⟨10.1007/978-3-319-71431-8_4⟩. ⟨hal-01403003v2⟩
764 View
1708 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More