A fixed point result with applications in the study of viscoplastic frictionless contact problems
type: Item
instance of: scholarly article
title: A fixed point result with applications in the study of viscoplastic frictionless contact problems
zbMATH Open document ID: 1171.47047
author: Mircea Sofonea
author: Cezar Avramescu
author: Andaluzia Matei
published in: Communications on Pure and Applied Analysis
publication date: 2008-06-18T00:00:00Z
review text: The paper studies a mathematical model which describes the frictionless contact between a viscoplastic body and a deformable foundation. The process is quasistatic and is studied on the general unbounded interval of time [0,1). First, the variational formulation of the problem is given. Then an abstract fixed point theorem is used in order to prove the existence of a unique weak solution to the model. The study contains in addition a regularity result. The techniques used in this paper are based on a recent monograph of the first author [\textit{W.\,Han} and \textit{M.\,Sofonea}, ``Quasistatic contact problems in viscoelasticity and viscoplasticity'' (AMS/IP Studies in Advanced Mathematics 30; Providence/RI:\ AMS International Press) (2002; Zbl 1013.74001)].
reviewed by: Georgios E. Stavroulakis
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74C10
Mathematics Subject Classification ID: 46T20
Mathematics Subject Classification ID: 47N99
zbMATH DE Number: 5289603
zbMATH Keywords: viscoplasticity
zbMATH Keywords: contact
zbMATH Keywords: fixed point theory
MaRDI profile type: Publication
full work available at URL: cpaa.2008.7.645
OpenAlex ID: W1980930024
DOI: 10.3934/CPAA.2008.7.645
description: scientific article; zbMATH DE number 5289603