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

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

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dc.contributor.author Migórski, Stanisław [SAP11012338] pl
dc.contributor.author Szafraniec, Paweł [USOS80265] pl
dc.date.accessioned 2015-03-03T08:41:12Z
dc.date.available 2015-03-03T08:41:12Z
dc.date.issued 2014 pl
dc.identifier.issn 1468-1218 pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/3451
dc.language eng pl
dc.title A class of dynamic frictional contact problems governed by a system of hemivariational inequalities in thermoviscoelasticity pl
dc.type JournalArticle pl
dc.description.physical 158-171 pl
dc.abstract.en 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. pl
dc.description.volume 15 pl
dc.identifier.doi 10.1016/j.nonrwa.2013.07.002 pl
dc.identifier.eissn 1878-5719 pl
dc.title.journal Nonlinear Analysis. Real World Applications pl
dc.language.container eng pl
dc.affiliation Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania pl
dc.subtype Article pl
dc.rights.original bez licencji pl
.pointsMNiSW [2014 A]: 45


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