## Taiwanese Journal of Mathematics

### Analysis of a Frictionless Contact Problem with Adhesion for Piezoelectric Materials

#### Abstract

This paper is devoted to the study of the mathematical model involving a frictionless contact between an electro-elasto-viscoplastic body and a conductive adhesive foundation. The process is mechanically dynamic and electrically static. The contact is modeled with a normal compliance where the adhesion is taken into account and a regularized electrical conductivity condition. We derive a variational formulation of the problem and prove its unique weak solution. The proof is based on nonlinear evolution equations with monotone operators, differential equations and fixed point arguments.

#### Article information

Source
Taiwanese J. Math., Volume 21, Number 1 (2017), 81-105.

Dates
First available in Project Euclid: 1 July 2017

https://projecteuclid.org/euclid.twjm/1498874558

Digital Object Identifier
doi:10.11650/tjm.21.2017.7274

Mathematical Reviews number (MathSciNet)
MR3613975

Zentralblatt MATH identifier
1357.74041

#### Citation

Latreche, Soumia; Selmani, Lynda. Analysis of a Frictionless Contact Problem with Adhesion for Piezoelectric Materials. Taiwanese J. Math. 21 (2017), no. 1, 81--105. doi:10.11650/tjm.21.2017.7274. https://projecteuclid.org/euclid.twjm/1498874558

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