A magneto-electro-elastic problem with non-monotone contact conditions
Abstract
summary:We consider a static frictional contact problem between a magneto-electro-elastic body and a foundation. We assume that the friction law is non-monotone, slip dependent, and associated with a non-monotone normal compliance, which is restricted by a unilateral constraint. We derive a variational formulation for the model, which is a system that couples a variational-hemivariational inequality with a variational equation. Then, we apply abstract results to prove its weak solvability. Finally, under additional assumptions on the contact functions, we prove the uniqueness of the solution.
Fields of Study & Subjects
Contact Mechanics and Variational Inequalities
Adhesion
Friction
and Surface Interactions
Thermoelastic and Magnetoelastic Phenomena
Publication details
- Journal / source
- Applications of Mathematics
- Volume
- 71
- Issue
- 2
- Pages
- 191–218
- Publication date
- 3 March 2026
- Language
- EN