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A variational approach for an electro‐elastic unilateral contact problem

    Andaluzi Matei Affiliation

Abstract

We consider a mechanical model which describes the frictionless unilateral contact between an electro‐elastic body and a rigid electrically non‐conductive foundation. For this model, a mixed variational formulation is provided. Then, using elements of the saddle point theory and a fixed point technique, an abstract result is proved. Based on this result, the existence of a unique weak solution of the mechanical problem is established.


First published online: 14 Oct 2010

Keyword : piezoelectricity, frictionless unilateral contact, mixed variational formulation, weak solution

How to Cite
Matei, A. (2009). A variational approach for an electro‐elastic unilateral contact problem. Mathematical Modelling and Analysis, 14(3), 323-334. https://doi.org/10.3846/1392-6292.2009.14.323-334
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Sep 30, 2009
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This work is licensed under a Creative Commons Attribution 4.0 International License.