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Nitsche-Based Finite Element Method for Contact with Coulomb Friction

  • Franz Chouly
  • Patrick Hild
  • Vanessa LlerasEmail author
  • Yves Renard
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 126)

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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Franz Chouly
    • 1
  • Patrick Hild
    • 2
  • Vanessa Lleras
    • 3
    Email author
  • Yves Renard
    • 4
  1. 1.Université de Franche ComtéBesançonFrance
  2. 2.Institut de Mathématiques de ToulouseUMR 5219, Université de Toulouse, CNRS, UPS-IMTToulouse Cedex 9France
  3. 3.IMAG, Univ Montpellier, CNRS, Place Eugène BataillonMontpellierFrance
  4. 4.INSA de LyonVilleurbanneFrance

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