Frictional contact of an anisotropic piezoelectric plate

Isabel N. Figueiredo; Georg Stadler

ESAIM: Control, Optimisation and Calculus of Variations (2009)

  • Volume: 15, Issue: 1, page 149-172
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Figueiredo, Isabel N., and Stadler, Georg. "Frictional contact of an anisotropic piezoelectric plate." ESAIM: Control, Optimisation and Calculus of Variations 15.1 (2009): 149-172. <http://eudml.org/doc/250573>.

@article{Figueiredo2009,
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. },
author = {Figueiredo, Isabel N., Stadler, Georg},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Contact; friction; asymptotic analysis; anisotropic material; piezoelectricity; plate; convergence; Kirchhoff-Love plate},
language = {eng},
month = {1},
number = {1},
pages = {149-172},
publisher = {EDP Sciences},
title = {Frictional contact of an anisotropic piezoelectric plate},
url = {http://eudml.org/doc/250573},
volume = {15},
year = {2009},
}

TY - JOUR
AU - Figueiredo, Isabel N.
AU - Stadler, Georg
TI - Frictional contact of an anisotropic piezoelectric plate
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2009/1//
PB - EDP Sciences
VL - 15
IS - 1
SP - 149
EP - 172
AB - 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.
LA - eng
KW - Contact; friction; asymptotic analysis; anisotropic material; piezoelectricity; plate; convergence; Kirchhoff-Love plate
UR - http://eudml.org/doc/250573
ER -

References

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