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.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
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 | 624 | |