Analysis of a dynamic contact problem with friction, damage and adhesion

Volume 46 / 2019

Abderrezak Kasri, Arezki Touzaline Applicationes Mathematicae 46 (2019), 127-153 MSC: 47J20, 49J40, 74M10, 74M15. DOI: 10.4064/am2312-6-2018 Published online: 14 December 2018

Abstract

We study a dynamic contact problem for viscoelastic materials with damage. The contact is modelled with Tresca’s friction law and a first order differential equation which describes adhesion effect of contact surfaces; the damage of the material is described by a function whose evolution is governed by a parabolic inclusion. Under appropriate assumptions, we provide a variational formulation of the mechanical problem and establish the existence and uniqueness of a weak solution.

Authors

  • Abderrezak KasriDépartement de Mathématiques
    Université 20 Août 1955 – Skikda
    B.P. 26, Route El-Hadaiek
    Skikda, Algeria
    e-mail
  • Arezki TouzalineLaboratoire de Systèmes Dynamiques
    Faculté de Mathématiques
    USTHB
    B.P. 32, El Alia
    Bab-Ezzouar, 16111 Alger, Algeria
    e-mail

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