Year: 2010
Author: El-H. Essoufi, El-H. Benkhira, R. Fakhar
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m0980
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 3 : pp. 355–378
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: stochastic difference equations global asymptotic stability almost sure stability stochastic differential equations and partially drift-implicit numerical methods.