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A bilateral contact problem with nonlocal friction, damage and adhesion

Volume 48 / 2021

Abderrezak Kasri Applicationes Mathematicae 48 (2021), 37-63 MSC: 74C10, 49J40, 74A55, 74H20, 74M15, 74F25. DOI: 10.4064/am2402-2-2021 Published online: 12 May 2021

Abstract

We consider a bilateral contact problem between an electro-elastic viscoplastic body with damage and an electrically conductive foundation. The process is quasistatic and the contact is modelled with a general nonlocal friction law in which the adhesion of contact surfaces is taken into account. We derive a variational formulation of the problem and, under smallness assumptions, we establish an existence and uniqueness theorem of a weak solution, including a regularity result. We also study the dependence of the solution on the data.

Authors

  • Abderrezak KasriDépartement de Mathématiques
    Université 20 Août 1955 – Skikda
    B.P. 26 Route El-Hadaiek
    Skikda, Algeria
    e-mail

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