Quasistatic Bilateral Contact Problem With Adhesion and Nonlocal Friction for Viscoelastic Materials

Arezki Touzaline

doi:10.3879/j.issn.1000-0887.2010.05.010

Volume 31 Issue 5

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Arezki Touzaline. Quasistatic Bilateral Contact Problem With Adhesion and Nonlocal Friction for Viscoelastic Materials[J]. Applied Mathematics and Mechanics, 2010, 31(5): 591-601. doi: 10.3879/j.issn.1000-0887.2010.05.010

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Quasistatic Bilateral Contact Problem With Adhesion and Nonlocal Friction for Viscoelastic Materials

doi: 10.3879/j.issn.1000-0887.2010.05.010

Arezki Touzaline

Laboratoire de Systèmes Dynamiques, Facultéde Mathhmatiques, USTHB, BP 32 EL ALIA, Bab-Ezzouar, 16111, Algérie

Received Date: 1900-01-01
Rev Recd Date: 2009-11-23
Publish Date: 2010-05-15

Abstract

Abstract

A mathematical model which describes a contact problem between a de form able body and a foundation was considered. The contact was bilateral and was modelled with non local friction law in which adhesion was taken in to account. The evolution of the bonding field was described by a firstorder differential equation and the material. s behavior was modelled with an on linear viscoe lastic constitutive law. A variational formulation of the mechanical problem was derived and the existence and uniqueness result of the weak so lution were proved if the coefficien to ffriction was sufficiently small. The proof is based on arguments of time-dependent variationa line qualities, differential equations and Banach fixed-point theorem.
- viscoelastic materials,
- adhesions,
- nonlocal friction,
- fixed point,
- weak solution

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References(18)

References

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