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Analysis and Numerical Approximation of an Electro-elasticFrictional 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 aconductive foundation. The electro-elastic constitutive law is assumed to be nonlinear andthe contact is modelled with the Signorini condition, nonlocal Coulomb friction law and aregularized electrical conductivity condition. The existence of a unique weak solution ofthe 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 9thInternational Conference on Numerical Analysis and Optimization , 2010 , pp. 84 - 90
Copyright
© EDP Sciences, 2010

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References

Brezis, H.. Equations et inéquations non linéaires dans les espaces vectoriels en dualité . Annales Inst. Fourier, 18 (1968), 115-175.CrossRefGoogle Scholar
P. G. Ciarlet. The finite element method for elliptic problems. North-Holland, Amsterdam, 1978.
Sofonea, M., Essoufi, EL-H.. A Piezoelectric contact problem with slip dependent coefficient of friction . Math. Model. Anal., 9 (2004), 229-242.Google Scholar
Lerguet, Z., Shillor, M., Sofonea, M.. A frictional contact problem for an electro-viscoelastic body . Electronic journal of differential equations, 2007 (2007), No. 170, 1-16.Google Scholar
Touzaline, A.. A Quasistatic unilateral contact problem with slip-dependent coefficient of friction for nonlinear elastic materials . Electronic journal of differential equations, 2006 (2006), No. 144, 1-14.Google Scholar