Frictional contact of an anisotropic piezoelectric plate

Isabel N. Figueiredo, Georg Stadler

Research output: Contribution to journalArticle

Abstract

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
Volume15
Issue number1
DOIs
StatePublished - Jan 2009

Fingerprint

Frictional Contact
Electric Potential
Kirchhoff Equation
Kirchhoff Plate
Plate Equation
Piezoelectric materials
Elastic Material
Electric potential
Equilibrium State
Contact
Unknown
Numerical Examples
Zero
Interaction
Model

Keywords

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

ASJC Scopus subject areas

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

Cite this

Frictional contact of an anisotropic piezoelectric plate. / Figueiredo, Isabel N.; Stadler, Georg.

In: ESAIM - Control, Optimisation and Calculus of Variations, Vol. 15, No. 1, 01.2009, p. 149-172.

Research output: Contribution to journalArticle

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