On augmented Lagrangian algorithms for thermomechanical contact problems with friction

G. Zavarise, P. Wriggers, B. A. Schrefler

Research output: Contribution to journalArticlepeer-review

76 Scopus citations


The detailed discretization of contact zones with contact stiffness based on real physical characteristics of contact surfaces can produce stiffness terms which induce ill-conditioning of the global stiffness matrix. Moreover the consistent treatment of frictional behaviour generates non-symmetric tangent stiffness matrices due to the non-associativity of the slip phase. Other non-symmetries are due to the coupling terms and to the dependencies on various parameters that can be involved. To overcome these difficulties almost consistent techniques based on two-step algorithms have been proposed in the past. Here an augmentation technique is proposed which takes into account micro-mechanical effects, and permits the symmetrization of the tangent stiffness during frictional slip phase.

Original languageEnglish (US)
Pages (from-to)2929-2949
Number of pages21
JournalInternational Journal for Numerical Methods in Engineering
Issue number17
StatePublished - Sep 15 1995


  • augmentation
  • contact
  • friction
  • thermomechanical coupling

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics


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