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Modeling and analysis of a contact problem for a viscoelastic rod

2016
journal article
article
10.1007/s00033-016-0718-z
Journal
Zeitschrift für angewandte Mathematik und Physik
35
Author
Bartosz Krzysztof

Sofonea Mircea
Volume
67
Issue
5
Article ID
127
ISSN
0044-2275
eISSN
1420-9039
Keywords in English

viscoelastic rod

contact

Clarke subdifferential

differential inclusion

nonconvex potential

weak solution

Language
English
Container language
English
Abstract in English

We consider a nonlinear viscoelastic rod which is in contact with a foundation along its length and is in contact with an obstacle at its end. The rod is acted up by body forces and, as a result, its mechanical state evolves. Our aim in this paper is twofold. The first one is to construct an appropriate mathematical model which describes the evolution of the rod. The second one is to prove the weak solvability of the problem. To this end, we use arguments on second-order inclusions with multivalued pseudomonotone operators.

Affiliation
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
dc.abstract.enWe consider a nonlinear viscoelastic rod which is in contact with a foundation along its length and is in contact with an obstacle at its end. The rod is acted up by body forces and, as a result, its mechanical state evolves. Our aim in this paper is twofold. The first one is to construct an appropriate mathematical model which describes the evolution of the rod. The second one is to prove the weak solvability of the problem. To this end, we use arguments on second-order inclusions with multivalued pseudomonotone operators.pl
dc.affiliationWydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowaniapl
dc.contributor.authorBartosz, Krzysztof - 161415 pl
dc.contributor.authorSofonea, Mirceapl
dc.date.accessioned2017-01-10T10:03:56Z
dc.date.available2017-01-10T10:03:56Z
dc.date.issued2016pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number5pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume67pl
dc.identifier.articleid127pl
dc.identifier.doi10.1007/s00033-016-0718-zpl
dc.identifier.eissn1420-9039pl
dc.identifier.issn0044-2275pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/35067
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 3.0 Polska*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/pl/legalcode*
dc.share.typeinne
dc.subject.enviscoelastic rodpl
dc.subject.encontactpl
dc.subject.enClarke subdifferentialpl
dc.subject.endifferential inclusionpl
dc.subject.ennonconvex potentialpl
dc.subject.enweak solutionpl
dc.subtypeArticlepl
dc.titleModeling and analysis of a contact problem for a viscoelastic rodpl
dc.title.journalZeitschrift für angewandte Mathematik und Physikpl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
We consider a nonlinear viscoelastic rod which is in contact with a foundation along its length and is in contact with an obstacle at its end. The rod is acted up by body forces and, as a result, its mechanical state evolves. Our aim in this paper is twofold. The first one is to construct an appropriate mathematical model which describes the evolution of the rod. The second one is to prove the weak solvability of the problem. To this end, we use arguments on second-order inclusions with multivalued pseudomonotone operators.
dc.affiliationpl
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
dc.contributor.authorpl
Bartosz, Krzysztof - 161415
dc.contributor.authorpl
Sofonea, Mircea
dc.date.accessioned
2017-01-10T10:03:56Z
dc.date.available
2017-01-10T10:03:56Z
dc.date.issuedpl
2016
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
5
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
67
dc.identifier.articleidpl
127
dc.identifier.doipl
10.1007/s00033-016-0718-z
dc.identifier.eissnpl
1420-9039
dc.identifier.issnpl
0044-2275
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/35067
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 3.0 Polska
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/3.0/pl/legalcode
dc.share.type
inne
dc.subject.enpl
viscoelastic rod
dc.subject.enpl
contact
dc.subject.enpl
Clarke subdifferential
dc.subject.enpl
differential inclusion
dc.subject.enpl
nonconvex potential
dc.subject.enpl
weak solution
dc.subtypepl
Article
dc.titlepl
Modeling and analysis of a contact problem for a viscoelastic rod
dc.title.journalpl
Zeitschrift für angewandte Mathematik und Physik
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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