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dc.contributor.authorDestrade, Michel
dc.date.accessioned2013-02-11T15:09:41Z
dc.date.available2013-02-11T15:09:41Z
dc.date.issued2011-02
dc.identifier.citationPascalis, R., Destrade, M., & Goriely, A. Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions. Journal of Elasticity, 102(2), 191-200.en_US
dc.identifier.urihttp://hdl.handle.net/10379/3225
dc.description.abstractEuler's celebrated buckling formula gives the critical load N for the buckling of a slender cylindrical column with radius B and length L as N/([pi]^3 B^2 )=(E/4)(B/L)^2, where E is Young's modulus. Its derivation relies on the assumptions that linear elasticity applies to this problem, and that the slenderness (B/L) is an infinitesimal quantity. Here we ask the following question: What is the first non-linear correction in the right hand-side of this equation when terms up to (B/L)4 are kept? To answer this question, we specialize the exact solution of incremental non-linear elasticity for the homogeneous compression of a thick compressible cylinder with lubricated ends to the theory of third-order elasticity. In particular, we highlight the way second- and third-order constants - including Poisson's ratio - all appear in the coefficient of (B/L)4.en_US
dc.description.sponsorshipSeventh Framework Programme of the European Commission (Marie Curie Fellowship)en_US
dc.formatapplication/pdfen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Elasticityen
dc.subjectColumn bucklingen_US
dc.subjectEuler formulaen_US
dc.subjectNon-linear correctionen_US
dc.subjectGuided end conditionen_US
dc.titleNonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditionsen_US
dc.typeArticleen_US
dc.date.updated2012-12-21T21:46:04Z
dc.identifier.doihttp://dx.doi.org/10.1007/s10659-010-9265-6
dc.local.publishedsourcehttp://dx.doi.org/10.1007/s10659-010-9265-6en_US
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid1161570
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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