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Volume 2, Issue 3
Analysis and Numerical Approximation of an Electro-Elastic Frictional Contact Problem

El-H. Essoufi, El-H. Benkhira & R. Fakhar

DOI: 10.4208/aamm.09-m0980

Adv. Appl. Math. Mech., 2 (2010), pp. 355-378.

Published online: 2010-03

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  • Abstract

We consider a mathematical model which describes the static frictional contact between a piezoelectric body and a conductive foundation. A non linear electro-elastic constitutive law is used to model the piezoelectric material. The unilateral contact is modelled using the Signorini condition, nonlocal Coulomb friction law with slip dependent friction coefficient and a regularized electrical conductivity condition. Existence and uniqueness of a weak solution is established. The finite elements approximation of the problem is presented. A priori error estimates of the solutions are derived and a convergent successive iteration technique is proposed.

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COPYRIGHT: © Global Science Press

  • Email address

essoufi@gmail.com (El-H. Essoufi)

benkhirahassan@yahoo.fr (El-H. Benkhira)

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@Article{AAMM-2-355, author = {Essoufi , El-H.Benkhira , El-H. and Fakhar , R.}, title = {Analysis and Numerical Approximation of an Electro-Elastic Frictional Contact Problem}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {3}, pages = {355--378}, abstract = {

We consider a mathematical model which describes the static frictional contact between a piezoelectric body and a conductive foundation. A non linear electro-elastic constitutive law is used to model the piezoelectric material. The unilateral contact is modelled using the Signorini condition, nonlocal Coulomb friction law with slip dependent friction coefficient and a regularized electrical conductivity condition. Existence and uniqueness of a weak solution is established. The finite elements approximation of the problem is presented. A priori error estimates of the solutions are derived and a convergent successive iteration technique is proposed.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0980}, url = {http://global-sci.org/intro/article_detail/aamm/8335.html} }
TY - JOUR T1 - Analysis and Numerical Approximation of an Electro-Elastic Frictional Contact Problem AU - Essoufi , El-H. AU - Benkhira , El-H. AU - Fakhar , R. JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 355 EP - 378 PY - 2010 DA - 2010/03 SN - 2 DO - http://doi.org/10.4208/aamm.09-m0980 UR - https://global-sci.org/intro/article_detail/aamm/8335.html KW - AB -

We consider a mathematical model which describes the static frictional contact between a piezoelectric body and a conductive foundation. A non linear electro-elastic constitutive law is used to model the piezoelectric material. The unilateral contact is modelled using the Signorini condition, nonlocal Coulomb friction law with slip dependent friction coefficient and a regularized electrical conductivity condition. Existence and uniqueness of a weak solution is established. The finite elements approximation of the problem is presented. A priori error estimates of the solutions are derived and a convergent successive iteration technique is proposed.

Essoufi , El-H.Benkhira , El-H. and Fakhar , R.. (2010). Analysis and Numerical Approximation of an Electro-Elastic Frictional Contact Problem. Advances in Applied Mathematics and Mechanics. 2 (3). 355-378. doi:10.4208/aamm.09-m0980
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