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Frictional contact of an anisotropic piezoelectric plate

Published online by Cambridge University Press:  23 January 2009

Isabel N. Figueiredo  and
Georg Stadler
Isabel N. Figueiredo
Affiliation:
Centro de Matemática da Universidade de Coimbra (CMUC), Department of Mathematics, University of Coimbra, Apartado 3008, 3001-454 Coimbra, Portugal. [email protected]
Georg Stadler
Affiliation:
Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, 1 University Station C0200, Austin, TX 78712, USA. [email protected]
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Abstract

The purpose of this paper is to derive and study a new asymptoticmodel for the equilibrium state of a thin anisotropicpiezoelectric plate in frictional contact with a rigid obstacle.In the asymptotic process, the thickness of the piezoelectricplate is driven to zero and the convergence of the unknowns isstudied. This leads to two-dimensional Kirchhoff-Love plateequations, in which mechanical displacement and electric potentialare partly decoupled. Based on this model numerical examples arepresented that illustrate the mutual interaction between themechanical displacement and the electric potential. We observethat, compared to purely elastic materials, piezoelectric bodiesyield a significantly different contact behavior.

Keywords

Contactfrictionasymptotic analysisanisotropicmaterialpiezoelectricityplate
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 1 , January 2009 , pp. 149 - 172
Copyright
© EDP Sciences, SMAI, 2008

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