Frictional contact of an anisotropic piezoelectric plate

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 un...

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Bibliographic Details
Main Author: Figueiredo, Isabel N. (author)
Other Authors: Stadler, Georg (author)
Format: other
Language:eng
Published: 2007
Subjects:
Online Access:http://hdl.handle.net/10316/11298
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11298
Description
Summary: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.