Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|Page(s)||84 - 90|
|Published online||26 August 2010|
Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem
University Hassan I, FSTS, Department of Mathematics and
* Corresponding author: E-mail:
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
Mathematics Subject Classification: 35J85 / 47J20 / 49J40 / 74F15 / 74G30 / 74M10 / 74M15 / 74S05
Key words: piezoelectric / Coulomb’s law / Signorini condition / fixed point process / finite element approximation / error estimates
© EDP Sciences, 2010
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