Dynamic extension of a compressible nonlinearly elastic membrane tube

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dc.authorid0000-0002-5167-609X
dc.contributor.authorErbay, Hüsnü Ataen_US
dc.contributor.authorTüzel, Vasfiye Handeen_US
dc.date.accessioned2015-01-15T23:00:20Z
dc.date.available2015-01-15T23:00:20Z
dc.date.issued2005-02
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractThe dynamic response of an isotropic compressible hyperelastic membrane tube is considered when one end is fixed and the other is subjected to a suddenly applied dynamic extension. The equations governing dynamic axially symmetric deformations of the membrane tube are presented for a general form of compressible isotropic elastic strain-energy function. Numerical results, obtained using a Godunov-type finite volume method and valid up to the time at which reflections occur at the fixed end of the tube, are given for two specific forms of the strain-energy function that characterizes a class of compressible elastomers (the Blatz-Ko model). The question of how the numerical results are related to the exact solution obtained for a limiting case is discussed.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationErbay, H. A. & Tüzel, V. H. (2005; 2004). Dynamic extension of a compressible nonlinearly elastic membrane tube. IMA Journal of Applied Mathematics (Institute of Mathematics and its Applications), 70(1), 25-38. doi:10.1093/imamat/hxh061en_US
dc.identifier.doi10.1093/imamat/hxh061
dc.identifier.endpage38
dc.identifier.issn0272-4960
dc.identifier.issn1464-3634
dc.identifier.issue1
dc.identifier.scopus2-s2.0-14044266282
dc.identifier.scopusqualityQ3
dc.identifier.startpage25
dc.identifier.urihttps://hdl.handle.net/11729/188
dc.identifier.urihttp://dx.doi.org/10.1093/imamat/hxh061
dc.identifier.volume70
dc.identifier.wosWOS:000226983100004
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.indekslendigikaynakConference Proceedings Citation Index – Science (CPCI-S)en_US
dc.institutionauthorTüzel, Vasfiye Handeen_US
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherOxford Univ Pressen_US
dc.relation.ispartofIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBlatz-Ko materialen_US
dc.subjectCompressibleen_US
dc.subjectMembrane tubesen_US
dc.subjectNonlinear elasticityen_US
dc.subjectDeformationen_US
dc.subjectMathematical modelsen_US
dc.subjectNumerical methodsen_US
dc.subjectWave propagationen_US
dc.subjectHyperelasticityen_US
dc.subjectElasticityen_US
dc.titleDynamic extension of a compressible nonlinearly elastic membrane tubeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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