Taiwanese Journal of Mathematics

Analysis of a Frictionless Contact Problem with Adhesion for Piezoelectric Materials

Soumia Latreche and Lynda Selmani

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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

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

First available in Project Euclid: 1 July 2017

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Zentralblatt MATH identifier

Primary: 74M15: Contact 74D10: Nonlinear constitutive equations 74F15: Electromagnetic effects

electro-elasto-viscoplastic materials internal state variable normal compliance adhesion weak solution evolution equations fixed point


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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