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Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
El. Essoufi ,
El. Benkhira  and
R. Fakhar
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Abstract

We consider the problem of frictional contact between an piezoelectric body and a conductive foundation. The electro-elastic constitutive law is assumed to be nonlinear and the contact is modelled with the Signorini condition, nonlocal Coulomb friction law and a regularized electrical conductivity condition. The existence of a unique weak solution of the model is established. The finite elements approximation for the problem is presented, and error estimates on the solutions are derived

Keywords

piezoelectricCoulomb’s lawSignorini conditionfixed point processfinite element approximationerror estimates
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9th International Conference on Numerical Analysis and Optimization , 2010 , pp. 84 - 90
Copyright
© EDP Sciences, 2010

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References

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