A class of dynamic contact problems with Coulomb friction in viscoelasticity. (April 2015)

• Record Type: Journal Article
• Authors: Cocou, Marius
• Is Part Of: Nonlinear analysis. Volume 22(2015)
• Page Start: 508
• Page End: 519
• Publication Date: 2015-04
• Subjects: Dynamic problems -- Pointwise conditions -- Coulomb friction -- Viscoelasticity -- Set-valued mapping; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.08.012
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: The aim of this work is to study a class of nonsmooth dynamic contact problems which model several surface interactions, including relaxed unilateral contact conditions, adhesion and Coulomb friction laws, between two viscoelastic bodies of Kelvin–Voigt type. An abstract formulation which generalizes these problems is considered and the existence of a solution is proved by using Ky Fan's fixed point theorem, suitable approximation properties, several estimates and compactness arguments.