Analysis of a Unilateral Contact Problem with Normal Compliance | Zendy

Arezki Touzaline | Zendy; Rachid Guettaf | Zendy

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Analysis of a Unilateral Contact Problem with Normal Compliance

Author(s) -

Arezki Touzaline,

Rachid Guettaf

Publication year - 2014

Publication title -

annals of west university of timisoara - mathematics and computer science

Language(s) - English

Resource type - Journals

eISSN - 1841-3307

pISSN - 1841-3293

DOI - 10.2478/awutm-2014-0010

Subject(s) - uniqueness , unilateral contact , quasistatic process , mathematics , bounded function , constraint (computer aided design) , coulomb's law , nonlinear system , constant (computer programming) , mathematical analysis , variational inequality , coulomb , variational principle , physics , finite element method , geometry , computer science , quantum mechanics , thermodynamics , programming language , electron

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

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