A Viscoelastic Contact Problem with Adhesion and Surface Memory Effects

A Viscoelastic Contact Problem with Adhesion and Surface Memory Effects

We consider a mathematical model which describes the quasistatic contact between a viscoelastic body and an obstacle, the so-called foundation. The material's behavior is modelled with a constitutive law with long memory. The contact is with normal compliance, unilateral constraint, memory eff...

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Bibliographic Details
Main Authors: Mircea Sofonea, Flavius Patrulescu
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2014-11-01
Series:Mathematical Modelling and Analysis
Subjects:
existence
fixed point
mathematical model
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/3323
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spelling doaj-b029f9424dc44fe7bc9226b5735ecd552021-07-02T16:49:24ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102014-11-0119510.3846/13926292.2014.979334A Viscoelastic Contact Problem with Adhesion and Surface Memory EffectsMircea Sofonea0Flavius Patrulescu1Laboratoire de Mathematiques et Physique, Universite de Perpignan Via Domitia 52 Avenue de Paul Alduy, 66 860 Perpignan, FranceTiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy P.O. Box 68-1, 400110 Cluj-Napoca, Romania; Faculty of Mathematics and Computer Science, Babes-Bolyai University Kogalniceanu street, no. 1, 400084, Cluj-Napoca, Romania We consider a mathematical model which describes the quasistatic contact between a viscoelastic body and an obstacle, the so-called foundation. The material's behavior is modelled with a constitutive law with long memory. The contact is with normal compliance, unilateral constraint, memory effects and adhesion. We present the classical formulation of the problem, then we derive its variational formulation and prove an existence and uniqueness result. The proof is based on arguments of variational inequalities and fixed point. https://journals.vgtu.lt/index.php/MMA/article/view/3323existencefixed pointmathematical model
collection DOAJ
language English
format Article
sources DOAJ
author Mircea Sofonea
Flavius Patrulescu
spellingShingle Mircea Sofonea
Flavius Patrulescu
A Viscoelastic Contact Problem with Adhesion and Surface Memory Effects
Mathematical Modelling and Analysis
existence
fixed point
mathematical model
author_facet Mircea Sofonea
Flavius Patrulescu
author_sort Mircea Sofonea
title A Viscoelastic Contact Problem with Adhesion and Surface Memory Effects
title_short A Viscoelastic Contact Problem with Adhesion and Surface Memory Effects
title_full A Viscoelastic Contact Problem with Adhesion and Surface Memory Effects
title_fullStr A Viscoelastic Contact Problem with Adhesion and Surface Memory Effects
title_full_unstemmed A Viscoelastic Contact Problem with Adhesion and Surface Memory Effects
title_sort viscoelastic contact problem with adhesion and surface memory effects
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2014-11-01
description We consider a mathematical model which describes the quasistatic contact between a viscoelastic body and an obstacle, the so-called foundation. The material's behavior is modelled with a constitutive law with long memory. The contact is with normal compliance, unilateral constraint, memory effects and adhesion. We present the classical formulation of the problem, then we derive its variational formulation and prove an existence and uniqueness result. The proof is based on arguments of variational inequalities and fixed point.
topic existence
fixed point
mathematical model
url https://journals.vgtu.lt/index.php/MMA/article/view/3323
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AT flaviuspatrulescu aviscoelasticcontactproblemwithadhesionandsurfacememoryeffects
AT mirceasofonea viscoelasticcontactproblemwithadhesionandsurfacememoryeffects
AT flaviuspatrulescu viscoelasticcontactproblemwithadhesionandsurfacememoryeffects
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