A class of dynamic frictional contact problems governed by a system of hemivariational inequalities in thermoviscoelasticity

2014
journal article
article
dc.abstract.enIn this paper we prove the existence and uniqueness of the weak solution for a dynamic thermoviscoelastic problem which describes frictional contact between a body and a foundation. We employ the nonlinear constitutive viscoelastic law with a long-term memory, which includes the thermal effects and considers the general nonmonotone and multivalued subdifferential boundary conditions for the contact, friction and heat flux. The model consists of the system of the hemivariational inequality of hyperbolic type for the displacement and the parabolic hemivariational inequality for the temperature. The existence of solutions is proved by using recent results from the theory of hemivariational inequalities and a fixed point argument.pl
dc.affiliationWydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowaniapl
dc.contributor.authorMigórski, Stanisław - 130585 pl
dc.contributor.authorSzafraniec, Paweł - 150956 pl
dc.date.accessioned2015-03-03T08:41:12Z
dc.date.available2015-03-03T08:41:12Z
dc.date.issued2014pl
dc.description.physical158-171pl
dc.description.volume15pl
dc.identifier.doi10.1016/j.nonrwa.2013.07.002pl
dc.identifier.eissn1878-5719pl
dc.identifier.issn1468-1218pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/3451
dc.languageengpl
dc.language.containerengpl
dc.rights.licencebez licencji
dc.subtypeArticlepl
dc.titleA class of dynamic frictional contact problems governed by a system of hemivariational inequalities in thermoviscoelasticitypl
dc.title.journalNonlinear Analysis. Real World Applicationspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
In this paper we prove the existence and uniqueness of the weak solution for a dynamic thermoviscoelastic problem which describes frictional contact between a body and a foundation. We employ the nonlinear constitutive viscoelastic law with a long-term memory, which includes the thermal effects and considers the general nonmonotone and multivalued subdifferential boundary conditions for the contact, friction and heat flux. The model consists of the system of the hemivariational inequality of hyperbolic type for the displacement and the parabolic hemivariational inequality for the temperature. The existence of solutions is proved by using recent results from the theory of hemivariational inequalities and a fixed point argument.
dc.affiliationpl
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
dc.contributor.authorpl
Migórski, Stanisław - 130585
dc.contributor.authorpl
Szafraniec, Paweł - 150956
dc.date.accessioned
2015-03-03T08:41:12Z
dc.date.available
2015-03-03T08:41:12Z
dc.date.issuedpl
2014
dc.description.physicalpl
158-171
dc.description.volumepl
15
dc.identifier.doipl
10.1016/j.nonrwa.2013.07.002
dc.identifier.eissnpl
1878-5719
dc.identifier.issnpl
1468-1218
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/3451
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights.licence
bez licencji
dc.subtypepl
Article
dc.titlepl
A class of dynamic frictional contact problems governed by a system of hemivariational inequalities in thermoviscoelasticity
dc.title.journalpl
Nonlinear Analysis. Real World Applications
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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