Frictional contact of an anisotropic piezoelectric plate

Isabel N. Figueiredo, Georg Stadler

Research output: Contribution to journalArticlepeer-review


The purpose of this paper is to derive and study a new asymptotic model for the equilibrium state of a thin anisotropic piezoelectric plate in frictional contact with a rigid obstacle. In the asymptotic process, the thickness of the piezoelectric plate is driven to zero and the convergence of the unknowns is studied. This leads to two-dimensional Kirchhoff-Love plate equations, in which mechanical displacement and electric potential are partly decoupled. Based on this model numerical examples are presented that illustrate the mutual interaction between the mechanical displacement and the electric potential. We observe that, compared to purely elastic materials, piezoelectric bodies yield a significantly different contact behavior.

Original languageEnglish (US)
Pages (from-to)149-172
Number of pages24
JournalESAIM - Control, Optimisation and Calculus of Variations
Issue number1
StatePublished - Jan 2009


  • Anisotropic material
  • Asymptotic analysis
  • Contact
  • Friction
  • Piezoelectricity
  • Plate

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Computational Mathematics


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