Repozytorium Uniwersytetu Jagiellońskiego

Analysis of a piezoelectric contact problem with subdifferential boundary condition

Analysis of a piezoelectric contact problem with ...

Metadane (Dublin Core) Migórski, Stanisław [SAP11012338] pl Ochal, Anna [SAP11015595] pl Sofonea, Mircea pl 2015-03-25T08:45:25Z 2015-03-25T08:45:25Z 2014 pl
dc.identifier.issn 0308-2105 pl
dc.language eng pl
dc.title Analysis of a piezoelectric contact problem with subdifferential boundary condition pl
dc.type JournalArticle pl
dc.description.physical 1007-1025 pl
dc.abstract.en We consider a mathematical model which describes the frictionless contact between a piezoelectric body and a foundation. The contact process is quasi-static and the foundation is assumed to be insulated. The novelty of the model consists in the fact that the material behaviour is described with an electro-elastic–visco-plastic constitutive law and the contact is modelled with a subdifferential boundary condition. We derive a variational formulation of the problem which is in the form of a system coupling two nonlinear integral equations with a history-dependent hemivariational inequality and a time-dependent linear equation. We prove the existence of a weak solution to the problem and, under additional assumptions, its uniqueness. The proof is based on a recent result on history-dependent hemivariational inequalities obtained by Migórski, Ochal and Sofonea in 2011. pl
dc.description.volume 144 pl
dc.description.number 5 pl
dc.identifier.doi 10.1017/S0308210513000607 pl
dc.identifier.eissn 1473-7124 pl
dc.title.journal Proceedings of the Royal Society of Edinburgh. Section A, Mathematics 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]: 30

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