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dc.contributor.authorErbay, Hüsnü Ata
dc.contributor.authorŞengül, Yasemin
dc.date.accessioned2015-10-26T13:23:13Z
dc.date.available2015-10-26T13:23:13Z
dc.date.issued2015-12
dc.identifier.issn0020-7462
dc.identifier.urihttp://hdl.handle.net/10679/974
dc.identifier.urihttp://www.sciencedirect.com/science/article/pii/S0020746215001316
dc.description.abstractIn this paper we investigate traveling wave solutions of a non-linear differential equation describing the behaviour of one-dimensional viscoelastic medium with implicit constitutive relations. We focus on a subclass of such models known as the strain-limiting models introduced by Rajagopal. To describe the response of viscoelastic solids we assume a non-linear relationship among the linearized strain, the strain rate and the Cauchy stress. We then concentrate on traveling wave solutions that correspond to the heteroclinic connections between the two constant states. We establish conditions for the existence of such solutions, and find those solutions, explicitly, implicitly or numerically, for various forms of the non-linear constitutive relation.en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relation.ispartofInternational Journal of Non-Linear Mechanics
dc.rightsopenAccess
dc.titleTraveling waves in one-dimensional non-linear models of strain-limiting viscoelasticityen_US
dc.typeArticleen_US
dc.description.versionpre-print
dc.peerreviewedyesen_US
dc.publicationstatuspublisheden_US
dc.contributor.departmentÖzyeğin University
dc.contributor.authorID(ORCID 0000-0002-5167-609X & YÖK ID 119316) Erbay, Hüsnü Ata
dc.contributor.authorID(ORCID 0000-0001-5923-3173 & YÖK ID 225540) Şengül, Yasemin
dc.contributor.ozuauthorErbay, Hüsnü Ata
dc.contributor.ozuauthorŞengül, Yasemin
dc.identifier.volume77
dc.identifier.startpage61
dc.identifier.endpage68
dc.identifier.wosWOS:000364797600006
dc.identifier.doi10.1016/j.ijnonlinmec.2015.07.005
dc.subject.keywordsTraveling wavesen_US
dc.subject.keywordsViscoelasticityen_US
dc.subject.keywordsStrain-limiting modelen_US
dc.subject.keywordsImplicit constitutive theoryen_US
dc.identifier.scopusSCOPUS:2-s2.0-84939143551
dc.contributor.authorMale1
dc.contributor.authorFemale1
dc.relation.publicationcategoryArticle - International Refereed Journal - Institutional Academic Staff


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