Show simple item record

dc.contributor.authorDe Pascalis, Riccardo
dc.contributor.authorDestrade, Michel
dc.contributor.authorGoriely, Alain
dc.date.accessioned2016-02-25T13:50:38Z
dc.date.available2016-02-25T13:50:38Z
dc.date.issued2010-07-22
dc.identifier.citationDe Pascalis R, Destrade M, Goriely A (2010) Nonlinear Correction to the Euler Buckling Formula for Compressed Cylinders with Guided-Guided End Conditions. Journal of Elasticity 102: 191–200. Available: http://dx.doi.org/10.1007/s10659-010-9265-6.
dc.identifier.issn0374-3535
dc.identifier.issn1573-2681
dc.identifier.doi10.1007/s10659-010-9265-6
dc.identifier.urihttp://hdl.handle.net/10754/598986
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/(π3B2)=(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. © 2010 Springer Science+Business Media B.V.
dc.description.sponsorshipThis work was supported by a Da Vinci Mobility Grant from the Franco-Italian University (R.D.P.); by a CNRS/USA Collaborative Grant from the French Centre National de la Recherche Scientifique (R.D.P., M.D.); by a Senior Marie Curie Fellowship from the European Commission (M.D.); and by a Visiting Professorship from the Universite Pierre et Marie Curie (A.G.). For A.G., this publication is based on work supported by Award No. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST), and based in part upon work supported by the National Science Foundation under grants DMS-0907773.
dc.publisherSpringer Nature
dc.subjectColumn buckling
dc.subjectEuler formula
dc.subjectGuided end condition
dc.subjectNon-linear correction
dc.titleNonlinear Correction to the Euler Buckling Formula for Compressed Cylinders with Guided-Guided End Conditions
dc.typeArticle
dc.identifier.journalJournal of Elasticity
dc.contributor.institutionCNRS Centre National de la Recherche Scientifique, Paris, France
dc.contributor.institutionUniversite Pierre et Marie Curie, Paris, France
dc.contributor.institutionUniversita del Salento, Lecce, Italy
dc.contributor.institutionUniversity College Dublin, Dublin, Ireland
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
kaust.grant.numberKUK-C1-013-04
dc.date.published-online2010-07-22
dc.date.published-print2011-02


This item appears in the following Collection(s)

Show simple item record