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Energy-consistent corotational schemes for frictional contact problems

  • California Institute of Technology
  • Université Paris Dauphine
  • Universität Stuttgart

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this paper, we consider the unilateral frictional contact problem of a hyperelastic body in the case of large displacements and small strains. In order to retain the linear elasticityframework, we decompose the deformation into a large global rotation and a small elastic displacement. This corotational approach is combined with a primal-dual active set strategy to tackle the contact problem. The resulting algorithm preserves both energy and angular momentum.

Original languageEnglish
Pages (from-to)2488-2511
Number of pages24
JournalSIAM Journal on Scientific Computing
Volume30
Issue number5
DOIs
StatePublished - 2007
Externally publishedYes

Keywords

  • Active set strategy
  • Contact problem
  • Corotational formulation
  • Elastodynamic
  • Energy conservative schemes
  • Large displacements
  • Small strains

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