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A Viscoelastic Contact Problem with Adhesion and Surface Memory Effects

    Mircea Sofonea Affiliation
    ; Flavius Patrulescu Affiliation

Abstract

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.

Keyword : existence, fixed point, mathematical model

How to Cite
Sofonea, M., & Patrulescu, F. (2014). A Viscoelastic Contact Problem with Adhesion and Surface Memory Effects. Mathematical Modelling and Analysis, 19(5), 607-626. https://doi.org/10.3846/13926292.2014.979334
Published in Issue
Nov 1, 2014
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This work is licensed under a Creative Commons Attribution 4.0 International License.