Evolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanics

2020
journal article
article
10
cris.lastimport.wos2024-04-10T00:55:49Z
dc.abstract.enThe purpose of this work is to introduce and investigate a complicated variational–hemivariational inequality of parabolic type with history-dependent operators. First, we establish an existence and uniqueness theorem for a first-order nonlinear evolution inclusion problem, which is driven by a convex subdifferential operator for a proper convex function and a generalized Clarke subdifferential operator for a locally Lipschitz superpotential. Then, we employ the fixed point principle for history-dependent operators to deliver the unique solvability of the parabolic variational–hemivariational inequality. Finally, a dynamic viscoelastic contact problem with the nonlinear constitutive law involving a convex subdifferential inclusion is considered as an illustrative application, where normal contact and friction are described, respectively, by two nonconvex and nonsmooth multi-valued terms.pl
dc.affiliationWydział Matematyki i Informatykipl
dc.contributor.authorHan, Jiangfengpl
dc.contributor.authorLu, Liangpl
dc.contributor.authorZeng, Shengda - 378084 pl
dc.date.accessioned2020-02-26T08:57:54Z
dc.date.available2020-02-26T08:57:54Z
dc.date.issued2020pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja wydawcy
dc.description.volume71pl
dc.identifier.articleid32pl
dc.identifier.doi10.1007/s00033-020-1260-6pl
dc.identifier.eissn1420-9039pl
dc.identifier.issn0044-2275pl
dc.identifier.project823731 – CONMECHpl
dc.identifier.project2017/25/N/ST1/00611pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/150165
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.subject.enparabolic variational–hemivariational inequalitypl
dc.subject.enhistory-dependent operatorpl
dc.subject.enexistencepl
dc.subject.enClarke subgradientpl
dc.subject.endynamic viscoelastic contact problempl
dc.subject.enweak solutionpl
dc.subtypeArticlepl
dc.titleEvolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanicspl
dc.title.journalZeitschrift für angewandte Mathematik und Physikpl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-10T00:55:49Z
dc.abstract.enpl
The purpose of this work is to introduce and investigate a complicated variational–hemivariational inequality of parabolic type with history-dependent operators. First, we establish an existence and uniqueness theorem for a first-order nonlinear evolution inclusion problem, which is driven by a convex subdifferential operator for a proper convex function and a generalized Clarke subdifferential operator for a locally Lipschitz superpotential. Then, we employ the fixed point principle for history-dependent operators to deliver the unique solvability of the parabolic variational–hemivariational inequality. Finally, a dynamic viscoelastic contact problem with the nonlinear constitutive law involving a convex subdifferential inclusion is considered as an illustrative application, where normal contact and friction are described, respectively, by two nonconvex and nonsmooth multi-valued terms.
dc.affiliationpl
Wydział Matematyki i Informatyki
dc.contributor.authorpl
Han, Jiangfeng
dc.contributor.authorpl
Lu, Liang
dc.contributor.authorpl
Zeng, Shengda - 378084
dc.date.accessioned
2020-02-26T08:57:54Z
dc.date.available
2020-02-26T08:57:54Z
dc.date.issuedpl
2020
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
71
dc.identifier.articleidpl
32
dc.identifier.doipl
10.1007/s00033-020-1260-6
dc.identifier.eissnpl
1420-9039
dc.identifier.issnpl
0044-2275
dc.identifier.projectpl
823731 – CONMECH
dc.identifier.projectpl
2017/25/N/ST1/00611
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/150165
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.subject.enpl
parabolic variational–hemivariational inequality
dc.subject.enpl
history-dependent operator
dc.subject.enpl
existence
dc.subject.enpl
Clarke subgradient
dc.subject.enpl
dynamic viscoelastic contact problem
dc.subject.enpl
weak solution
dc.subtypepl
Article
dc.titlepl
Evolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanics
dc.title.journalpl
Zeitschrift für angewandte Mathematik und Physik
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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