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

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 c...

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Bibliographic Details
Published inMathematical modelling of natural phenomena Vol. 5; no. Supplement; pp. 84 - 90
Main Authors Taik, A., Essoufi, El, Benkhira, El, Fakhar, R.
Format Journal Article
LanguageEnglish
Published EDP Sciences 2010
Subjects
35J85
47J20
49J40
74F15
74G30
74M10
74M15
74S05
Coulomb’s law
error estimates
finite element approximation
fixed point process
piezoelectric
Signorini condition
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Summary: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
Bibliography:PII:S0973534810057147
ark:/67375/80W-ZPLLHFX9-D
istex:C7CE302C3E9047C9DFBB7B952C5A68C00930872E
publisher-ID:mmnp201057Sp84
ISSN:0973-5348
1760-6101
DOI:10.1051/mmnp/20105714