dc.contributor.author Destrade, Michel dc.date.accessioned 2013-02-11T15:09:41Z dc.date.available 2013-02-11T15:09:41Z dc.date.issued 2011-02 dc.identifier.citation Pascalis, 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.uri http://hdl.handle.net/10379/3225 dc.description.abstract Euler'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.sponsorship Seventh Framework Programme of the European Commission (Marie Curie Fellowship) en_US dc.format application/pdf en_US dc.language.iso en en_US dc.publisher Springer en_US dc.relation.ispartof Journal of Elasticity en dc.subject Column buckling en_US dc.subject Euler formula en_US dc.subject Non-linear correction en_US dc.subject Guided end condition en_US dc.title Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions en_US dc.type Article en_US dc.date.updated 2012-12-21T21:46:04Z dc.identifier.doi http://dx.doi.org/10.1007/s10659-010-9265-6 dc.local.publishedsource http://dx.doi.org/10.1007/s10659-010-9265-6 en_US dc.description.peer-reviewed peer-reviewed dc.contributor.funder |~| dc.internal.rssid 1161570 dc.local.contact Michel Destrade, Room C202 Áras De Brún, School Of Mathematics, Nui Galway. Email: michel.destrade@nuigalway.ie dc.local.copyrightchecked No dc.local.version PUBLISHED nui.item.downloads 514
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