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Annals of West University of Timisoara - Mathematics and Computer Science

The Journal of West University of Timisoara

Editor-in-Chief: Sasu, Bogdan

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Mathematical Citation Quotient (MCQ) 2016: 0.01

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1841-3307
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Analysis of a Unilateral Contact Problem with Normal Compliance

Arezki Touzaline / Rachid Guettaf
Published Online: 2014-12-11 | DOI: https://doi.org/10.2478/awutm-2014-0010

Abstract

The paper deals with the study of a quasistatic unilateral contact problem between a nonlinear elastic body and a foundation. The contact is modelled with a normal compliance condition associated to unilateral constraint and the Coulomb's friction law. The adhesion between contact surfaces is taken into account and is modelled with a surface variable, the bonding field, whose evolution is described by a first-order differential equation. We establish a variational formulation of the mechanical problem and prove an existence and uniqueness result in the case where the coefficient of friction is bounded by a certain constant. The technique of the proof is based on arguments of time-dependent variational inequalities, differential equations and fixed-point theorem.

Keywords: elastic; normal compliance; adhesion,friction; unilateral; weak solution

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About the article

Received: 2014-04-12

Revised: 2014-07-18

Accepted: 2014-07-26

Published Online: 2014-12-11

Published in Print: 2014-06-01


Citation Information: Annals of West University of Timisoara - Mathematics, ISSN (Online) 1841-3307, DOI: https://doi.org/10.2478/awutm-2014-0010.

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© Annals of West University of Timisoara - Mathematics. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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