Bulletin of the Belgian Mathematical Society - Simon Stevin

On a frictional contact problem with adhesion in piezoelectricity

Mohamed Selmani and Lynda Selmani

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

We consider a mathematical model describing the quasistatic frictional contact between an electro-elasto-viscoplastic body and an adhesive conductive foundation. The contact is described with a normal compliance condition with adhesion, the associated general version of Coulomb's law of dry friction in which the adhesion of contact surfaces is taken into account and a regularized electrical conductivity condition. The existence of a unique weak solution is established under smallness assumption on the surface conductance. The proof is based on arguments of time-dependent variational inequalities, differential equations and Banach fixed point theorem.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 23, Number 2 (2016), 263-284.

Dates
First available in Project Euclid: 31 May 2016

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1464710118

Digital Object Identifier
doi:10.36045/bbms/1464710118

Mathematical Reviews number (MathSciNet)
MR3507082

Zentralblatt MATH identifier
1342.74125

Subjects
Primary: 74M15: Contact 74M10: Friction 74F15: Electromagnetic effects 74D10: Nonlinear constitutive equations

Keywords
Electro-elasto-viscoplastic materials quasistatic process internal state variable frictional contact normal compliance adhesion weak solution fixed point

Citation

Selmani, Mohamed; Selmani, Lynda. On a frictional contact problem with adhesion in piezoelectricity. Bull. Belg. Math. Soc. Simon Stevin 23 (2016), no. 2, 263--284. doi:10.36045/bbms/1464710118. https://projecteuclid.org/euclid.bbms/1464710118


Export citation