The dynamic response of an incompressible non-linearly elastic membrane tube subjected to a dynamic extension

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dc.authorid0000-0002-5167-609X
dc.contributor.authorTüzel, Vasfiye Handeen_US
dc.contributor.authorErbay, Hüsnü Ataen_US
dc.date.accessioned2015-01-15T23:00:08Z
dc.date.available2015-01-15T23:00:08Z
dc.date.issued2004-06
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 hyperelastic membrane tube, subjected to a dynamic extension at its one end, is studied. In the first part of the paper, an asymptotic expansion technique is used to derive a non-linear membrane theory for finite axially symmetric dynamic deformations of incompressible non-linearly elastic circular cylindrical tubes by starting from the three-dimensional elasticity theory. The equations governing dynamic axially symmetric deformations of the membrane tube are obtained for an arbitrary form of the strain-energy function. In the second part of the paper, finite amplitude wave propagation in an incompressible hyperelastic membrane tube is considered when one end is fixed and the other is subjected to a suddenly applied dynamic extension. A Godunov-type finite volume method is used to solve numerically the corresponding problem. Numerical results are given for the Mooney-Rivlin incompressible material. The question how the present numerical results are related to those obtained in the literature is discussed.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationTüzel, V. H. & Erbay, H. A. (2004). The dynamic response of an incompressible non-linearly elastic membrane tube subjected to a dynamic extension. International Journal of Non-Linear Mechanics, 39(4), 515-537. doi:10.1016/S0020-7462(02)00220-2en_US
dc.identifier.doi10.1016/S0020-7462(02)00220-2
dc.identifier.endpage537
dc.identifier.issn0020-7462
dc.identifier.issn1878-5638
dc.identifier.issue4
dc.identifier.scopus2-s2.0-19244378209
dc.identifier.scopusqualityQ1
dc.identifier.startpage515
dc.identifier.urihttps://hdl.handle.net/11729/155
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7462(02)00220-2
dc.identifier.volume39
dc.identifier.wosWOS:000185865400001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorTüzel, Vasfiye Handeen_US
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofInternational Journal of Non-Linear Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlinear elasticityen_US
dc.subjectIncompressibleen_US
dc.subjectMembrane tubesen_US
dc.subjectFinite amplitude wave propagationen_US
dc.subjectDynamic responseen_US
dc.subjectLaplace transformsen_US
dc.subjectSaturated soilen_US
dc.subjectDeformationen_US
dc.subjectDynamic responseen_US
dc.subjectElasticityen_US
dc.subjectIncompressible flowen_US
dc.subjectWave propagationen_US
dc.subjectTubes (components)en_US
dc.titleThe dynamic response of an incompressible non-linearly elastic membrane tube subjected to a dynamic extensionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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