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Nonsmooth dynamic frictional contact of a thermoviscoelastic body

2017
journal article
article
10.1080/00036811.2017.1344227
Journal
Applicable Analysis
25
Author
Migórski Stanisław

Ochal Anna

Shillor Meir

Sofonea Mircea
Volume
97
Number
8
Pages
1228-1245
ISSN
0003-6811
eISSN
1563-504X
Keywords in English

Hemivariational inequality

thermoviscoelastic material

Clarke subdifferential

frictional heat generation

evolutionary inclusion

Language
English
Journal language
English
Abstract in English

This paper studies a system of two hemivariational inequalities modeling a dynamic thermoviscoelastic contact problem with general nonmonotone and multivalued subdifferential boundary conditions. Thermal effects are included in the Kelvin-Voigt thermoviscoelastic constitutive law and in the boundary conditions, and so in frictional heat generation, which takes place on the boundary and enters the condition for the temperature. The existence of a weak solution to the problem is established using a recent surjectivity result for differential inclusions associated with pseudomonotone operators.

Affiliation
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
Scopus© citations
4
cris.lastimport.wos2024-04-09T19:51:58Z
dc.abstract.enThis paper studies a system of two hemivariational inequalities modeling a dynamic thermoviscoelastic contact problem with general nonmonotone and multivalued subdifferential boundary conditions. Thermal effects are included in the Kelvin-Voigt thermoviscoelastic constitutive law and in the boundary conditions, and so in frictional heat generation, which takes place on the boundary and enters the condition for the temperature. The existence of a weak solution to the problem is established using a recent surjectivity result for differential inclusions associated with pseudomonotone operators.pl
dc.affiliationWydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowaniapl
dc.contributor.authorMigórski, Stanisław - 130585 pl
dc.contributor.authorOchal, Anna - 131110 pl
dc.contributor.authorShillor, Meirpl
dc.contributor.authorSofonea, Mirceapl
dc.date.accessioned2018-10-03T09:28:03Z
dc.date.available2018-10-03T09:28:03Z
dc.date.issued2017pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number8pl
dc.description.physical1228-1245pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume97pl
dc.identifier.doi10.1080/00036811.2017.1344227pl
dc.identifier.eissn1563-504Xpl
dc.identifier.issn0003-6811pl
dc.identifier.projectDEC-2012/06/A/ST1/00262pl
dc.identifier.projectROD UJ / Opl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/57587
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licenceInna otwarta licencja
dc.rights.uri*
dc.share.typeotwarte czasopismo
dc.subject.enHemivariational inequalitypl
dc.subject.enthermoviscoelastic materialpl
dc.subject.enClarke subdifferentialpl
dc.subject.enfrictional heat generationpl
dc.subject.enevolutionary inclusionpl
dc.subtypeArticlepl
dc.titleNonsmooth dynamic frictional contact of a thermoviscoelastic bodypl
dc.title.journalApplicable Analysispl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T19:51:58Z
dc.abstract.enpl
This paper studies a system of two hemivariational inequalities modeling a dynamic thermoviscoelastic contact problem with general nonmonotone and multivalued subdifferential boundary conditions. Thermal effects are included in the Kelvin-Voigt thermoviscoelastic constitutive law and in the boundary conditions, and so in frictional heat generation, which takes place on the boundary and enters the condition for the temperature. The existence of a weak solution to the problem is established using a recent surjectivity result for differential inclusions associated with pseudomonotone operators.
dc.affiliationpl
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
dc.contributor.authorpl
Migórski, Stanisław - 130585
dc.contributor.authorpl
Ochal, Anna - 131110
dc.contributor.authorpl
Shillor, Meir
dc.contributor.authorpl
Sofonea, Mircea
dc.date.accessioned
2018-10-03T09:28:03Z
dc.date.available
2018-10-03T09:28:03Z
dc.date.issuedpl
2017
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
8
dc.description.physicalpl
1228-1245
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
97
dc.identifier.doipl
10.1080/00036811.2017.1344227
dc.identifier.eissnpl
1563-504X
dc.identifier.issnpl
0003-6811
dc.identifier.projectpl
DEC-2012/06/A/ST1/00262
dc.identifier.projectpl
ROD UJ / O
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/57587
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.licence
Inna otwarta licencja
dc.rights.uri*
dc.share.type
otwarte czasopismo
dc.subject.enpl
Hemivariational inequality
dc.subject.enpl
thermoviscoelastic material
dc.subject.enpl
Clarke subdifferential
dc.subject.enpl
frictional heat generation
dc.subject.enpl
evolutionary inclusion
dc.subtypepl
Article
dc.titlepl
Nonsmooth dynamic frictional contact of a thermoviscoelastic body
dc.title.journalpl
Applicable Analysis
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Migórski, Stanisław
Ochal, Anna
No affiliation
Shillor, Meir
Sofonea, Mircea

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