Localized travelling waves in a prestressed thick elastic tube

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T22:59:21Z
dc.date.available2015-01-15T22:59:21Z
dc.date.issued2001-10
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionThis work was partially supported by the Turkish Academy of Sciences.en_US
dc.description.abstractIn the present work, by using the exact non-linear equations of an incompressible inviscid fluid contained in a prestressed thick elastic tube, the propagation of localized travelling wave solution in such a medium is investigated. Employing the hyperbolic tangent method and considering the long-wave limit, we showed that the lowest-order term in the perturbation expansion gives a solitary wave equivalent to the localized travelling wave solution of the Korteweg-de Vries equation. The progressive wave type of solution is also sought for the second-order terms in the perturbation expansion. The correction terms in the speed of propagation are obtained as part of the solution of perturbation equations.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2001). Localized travelling waves in a prestressed thick elastic tube. International Journal of Non-Linear Mechanics, 36(7), 1085-1095. doi:10.1016/S0020-7462(00)00073-1en_US
dc.identifier.doi10.1016/S0020-7462(00)00073-1
dc.identifier.endpage1095
dc.identifier.issn0020-7462
dc.identifier.issn1878-5638
dc.identifier.issue7
dc.identifier.scopus2-s2.0-0035480568
dc.identifier.scopusqualityQ1
dc.identifier.startpage1085
dc.identifier.urihttps://hdl.handle.net/11729/96
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7462(00)00073-1
dc.identifier.volume36
dc.identifier.wosWOS:000169524200007
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherPergamon-Elsevier Scienceen_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.subjectElastic tubesen_US
dc.subjectDressed solitary wavesen_US
dc.subjectArterial wallen_US
dc.subjectDeformationen_US
dc.subjectElasticityen_US
dc.subjectIncompressible flowen_US
dc.subjectMathematical modelsen_US
dc.subjectNonlinear equationsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectPrestressed materialsen_US
dc.subjectHyperbolic tangent methoden_US
dc.subjectTubes (components)en_US
dc.titleLocalized travelling waves in a prestressed thick elastic tubeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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