Bilateral contact problem with adhesion and damage

Aissaoui, Adel; Hemici, Nacerdine

doi:10.14232/ejqtde.2014.1.18

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Cited by 3 publications

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“…As in [1,3,5,6], we use the bonding field as an additional variable, defined on the common part of the boundary. We derive a variational formulation of the model then we prove its unique solvability, which provides the existence of a unique weak solution to the adhesive contact problem.…”

Section: Introductionmentioning

confidence: 99%

A bilateral contact problem with adhesion and damage between two viscoelastic bodies

Derbazi¹,

Boukrioua²,

Dalah³

et al. 2016

J. Nonlinear Sci. Appl.

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This paper deals with the study of a mathematical model which describes the bilateral, frictionless adhesive contact between two viscoelastic bodies with damage. The adhesion of the contact surfaces is considered and is modeled with a surface variable, the bonding field, whose evolution is described by a first order differential equation. We establish a variational formulation for the problem and prove the existence and uniqueness result of the solution. The proofs are based on time-dependent variational equalities, a classical existence and uniqueness result on parabolic equations, differential equations, and fixed-point arguments.

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Section: Introductionmentioning

confidence: 99%