Variational and numerical analysis of a static thermo-electro-elastic problem with friction
type: Item
instance of: scholarly article
title: Variational and numerical analysis of a static thermo-electro-elastic problem with friction
zbMATH Open document ID: 1427.74134
DOI: 10.1155/2018/8346891
author: Othman Baiz
author: Hicham Benaissa
author: Driss El Moutawakil
author: Rachid Fakhar
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: We consider a mathematical model which describes a static frictional contact between a piezoelectric body and a thermally conductive obstacle. The constitutive law is supposed to be thermo-electro-elastic and the contact is modeled with normal compliance and a version of Coulomb's friction law. We derive a variational formulation of the problem and we prove the existence and uniqueness of its solution. The proof is based on some results of elliptic variational inequalities and fixed point arguments. Furthermore, a finite element approximation and a priori error estimates are obtained.
Mathematics Subject Classification ID: 74M10
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 49Q12
zbMATH DE Number: 7019594
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8346891
OpenAlex ID: W2786620474
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description: scientific article; zbMATH DE number 7019594