Geodesic
Analysis of a dynamic contact problem with friction, damage and adhesion
Abderrezak Kasri 1   ; Arezki Touzaline 2
1 Département de Mathématiques Université 20 Août 1955 – Skikda B.P. 26, Route El-Hadaiek Skikda, Algeria
2 Laboratoire de Systèmes Dynamiques Faculté de Mathématiques USTHB B.P. 32, El Alia Bab-Ezzouar, 16111 Alger, Algeria
Applicationes Mathematicae, Tome 46 (2019) no. 1, pp. 127-153 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am2312-6-2018
Keywords: study dynamic contact problem viscoelastic materials damage contact modelled tresca friction law first order differential equation which describes adhesion effect contact surfaces damage material described function whose evolution governed parabolic inclusion under appropriate assumptions provide variational formulation mechanical problem establish existence uniqueness weak solution

Abderrezak Kasri  1   ; Arezki Touzaline  2

1 Département de Mathématiques Université 20 Août 1955 – Skikda B.P. 26, Route El-Hadaiek Skikda, Algeria
2 Laboratoire de Systèmes Dynamiques Faculté de Mathématiques USTHB B.P. 32, El Alia Bab-Ezzouar, 16111 Alger, Algeria 
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Abderrezak Kasri; Arezki Touzaline. Analysis of a dynamic contact problem with friction, damage and adhesion. Applicationes Mathematicae, Tome 46 (2019) no. 1, pp. 127-153. doi: 10.4064/am2312-6-2018

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