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dc.contributor.authorDestrade, Michel
dc.contributor.authorLusetti, Irene
dc.contributor.authorMangan, Robert
dc.contributor.authorSigaeva, Taisiya
dc.date.accessioned2017-11-24T14:15:10Z
dc.date.issued2017-06-10
dc.identifier.citationDestrade, Michel, Lusetti, Irene, Mangan, Robert, & Sigaeva, Taisiya. (2017). Wrinkles in the opening angle method. International Journal of Solids and Structures, 122-123(Supplement C), 189-195. doi: https://doi.org/10.1016/j.ijsolstr.2017.06.016en_IE
dc.identifier.issn0020-7683
dc.identifier.urihttp://hdl.handle.net/10379/6981
dc.description.abstractWe investigate the stability of the deformation modeled by the opening angle method, often used to give a measure of residual stresses in arteries and other biological soft tubular structures. Specifically, we study the influence of stiffness contrast, dimensions and inner pressure on the onset of wrinkles when an open sector of a soft tube, coated with a stiffer film, is bent into a full cylinder. The tube and its coating are made of isotropic, incompressible, hyperelastic materials. We provide a full analytical exposition of the governing equations and the associated boundary value problem for the large deformation and for the superimposed small-amplitude wrinkles. For illustration, we solve them numerically with a robust algorithm in the case of Mooney-Rivlin materials. We confront the results to experimental data that we collected for soft silicone sectors. We study the influence of axial stretch and inner pressure on the stability of closed-up coated tubes with material parameters comparable with those of soft biological tubes such as arteries and veins, although we do not account for anisotropy. We find that the large deformation described in the opening angle method does not always exist, as it can become unstable for certain combinations of dimensions and material parameters. (C) 2017 Elsevier Ltd. All rights reserved.en_IE
dc.description.sponsorshipMD and RM are grateful to the Irish Research Council for support through a Government of Ireland Postgraduate Scholarship (project ID GOIPG/2015/2117). MD and IL thank the NUI Galway College of Science for support with the Summer Internship Program.en_IE
dc.formatapplication/pdfen_IE
dc.language.isoenen_IE
dc.publisherElsevieren_IE
dc.relation.ispartofInternational Journal Of Solids And Structuresen
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectOpening angle methoden_IE
dc.subjectLarge bendingen_IE
dc.subjectNonlinear elasticityen_IE
dc.subjectBifurcationen_IE
dc.subjectCoated sectoren_IE
dc.subjectSoft tissue modelingen_IE
dc.subjectSTRAINen_IE
dc.titleWrinkles in the opening angle methoden_IE
dc.typeArticleen_IE
dc.date.updated2017-11-22T08:21:57Z
dc.identifier.doi10.1016/j.ijsolstr.2017.06.016
dc.local.publishedsourcehttps://doi.org/10.1016/j.ijsolstr.2017.06.016en_IE
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.description.embargo2019-06-10
dc.internal.rssid13019682
dc.local.contactMichel Destrade, Room Adb-1002, Áras De Brun, School Of Mathematics, Nui Galway. 2344 Email: michel.destrade@nuigalway.ie
dc.local.copyrightcheckedYes
dc.local.versionACCEPTED
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