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

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

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. A 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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@Article{AAMM-2-355, author = {}, 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. A 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} }
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