Variational and Numerical Analysis of a Static Thermo-Electro-Elastic Problem with Friction
Joint Authors
El Moutawakil, Driss
Baiz, Othman
Benaissa, Hicham
Fakhar, Rachid
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-28
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Baiz, Othman& Benaissa, Hicham& El Moutawakil, Driss& Fakhar, Rachid. 2018. Variational and Numerical Analysis of a Static Thermo-Electro-Elastic Problem with Friction. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1209283
Modern Language Association (MLA)
Baiz, Othman…[et al.]. Variational and Numerical Analysis of a Static Thermo-Electro-Elastic Problem with Friction. Mathematical Problems in Engineering No. 2018 (2018), pp.1-16.
https://search.emarefa.net/detail/BIM-1209283
American Medical Association (AMA)
Baiz, Othman& Benaissa, Hicham& El Moutawakil, Driss& Fakhar, Rachid. Variational and Numerical Analysis of a Static Thermo-Electro-Elastic Problem with Friction. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1209283
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209283