Nitsche’s method for finite deformation thermomechanical contact problems

Alexander Seitz, Wolfgang A. Wall, Alexander Popp

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

This paper presents an extension of Nitsche’s method to finite deformation thermomechanical contact problems including friction. The mechanical contact constraints, i.e. non-penetration and Coulomb’s law of friction, are introduced into the weak form using a stabilizing consistent penalty term. The required penalty parameter is estimated with local generalized eigenvalue problems, based on which an additional harmonic weighting of the boundary traction is introduced. A special focus is put on the enforcement of the thermal constraints at the contact interface, namely heat conduction and frictional heating. Two numerical methods to introduce these effects are presented, a substitution method as well as a Nitsche-type approach. Numerical experiments range from two-dimensional frictionless thermo-elastic problems demonstrating optimal convergence rates to three-dimensional thermo-elasto-plastic problems including friction.

Original languageEnglish
Pages (from-to)1091-1110
Number of pages20
JournalComputational Mechanics
Volume63
Issue number6
DOIs
StatePublished - 15 Jun 2019

Keywords

  • Finite deformation contact
  • Frictional contact
  • Nitsche’s method
  • Thermo-structure-interaction

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