A dynamic contact problem with history-dependent operators

Bibliographic description

punktacja MEiN [2016 A]: 25

title:	A dynamic contact problem with history-dependent operators
author:	Ogorzały Justyna
journal title:	Journal of Elasticity
volume:	124
issue:	1
date of publication :	2016
pages:	107-132
ISSN:	0374-3535
eISSN:	1573-2681
DOI:	10.1007/s10659-015-9563-0
language:	English
journal language:	English
abstract in English:	In this paper we present results on existence, uniqueness and convergence of solutions to the Cauchy problem for abstract first order evolutionary inclusion which contains two operators depending on the history of the solution. These results are applicable to a dynamic contact problem for viscoelastic materials with a normal compliance contact condition with memory and a friction law in which the friction bound depends on the magnitude of the tangential displacement. The proofs are based on recent results for hemivariational inequalities and a fixed point argument.
keywords in English:	viscoelastic material, history-dependent operator, Clarke subdifferential, dynamical process, friction
affiliation:	Wydział Matematyki i Informatyki
type:	journal article
subtype:	academic paper