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dc.contributor.authorGoriely, Alain
dc.contributor.authorVandiver, Rebecca
dc.contributor.authorDestrade, Michel
dc.date.accessioned2013-01-16T10:46:15Z
dc.date.available2013-01-16T10:46:15Z
dc.date.issued2008-11
dc.identifier.citationGORIELY, A., VANDIVER, R., DESTRADE, M. (2008) 'Nonlinear Euler buckling'. Proceedings of the Royal Society of London, Series A, 464 :303-3019.en_US
dc.identifier.issn1471-2946
dc.identifier.urihttp://hdl.handle.net/10379/3151
dc.description.abstractThe buckling of hyperelastic incompressible cylindrical tubes of arbitrary length and thickness under compressive axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for bifurcation are developed using the exact solution of Wilkes for the linearized problem within the Stroh formalism. Using these methods, the range of validity of the Euler buckling formula and its first nonlinear corrections are obtained for third-order elasticity. The values of the geometric parameters (tube thickness and slenderness) where a transition between buckling and barrelling is observed are also identified.en_US
dc.formatapplication/pdfen_US
dc.language.isoenen_US
dc.publisherRoyal Society Publishingen_US
dc.relation.ispartofProceedings of the Royal Society of London, Series Aen
dc.subjectNonlinear elasticityen_US
dc.subjectEuler buckling formulaen_US
dc.subjectBarrellingen_US
dc.titleNonlinear Euler bucklingen_US
dc.typeArticleen_US
dc.date.updated2012-12-22T00:15:31Z
dc.identifier.doihttp://dx.doi.org/10.1098/rspa.2008.0184
dc.local.publishedsourcehttp://dx.doi.org/10.1098/rspa.2008.0184en_US
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid1161571
dc.local.contactMichel Destrade, Room C202 Áras De Brún, School Of Mathematics, Nui Galway. Email: michel.destrade@nuigalway.ie
dc.local.copyrightcheckedNo
dc.local.versionPUBLISHED
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