An error estimate for bilateral contact problem with nonmonotone friction between two electroelastic bodies

Abstract

This work is concerned with a problem describing bilateral contact between two electroelastic bodies, with nonmonotone friction. A mixed formulation is derived allowing to state the weak formulation of the problem. A mortar finite-element method is employed to obtain finite element approximations of the problem. Using the Gauss elimination technique, we eliminate the electric potential and the resulting problem is a perturbed elastic problem. Furthermore, error estimates for both conformal and non-conformal approximations are obtained.

Keywords:

• Piezoelectric
• contact with friction
• mixed formulation
• conformal and non- conformal approximation
• error estimate

2020 Mathematics Subject Classifications:

• 86A22
• 74M10
• 74M15

Acknowledgments

The authors would like to express their deep gratitude to anonymous reviewers for their great and valuable remarks and suggestions that are very helpful to the improvement of the present paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).