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dc.contributor.authorDestrade, Michel
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.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.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.local.contactMichel Destrade, Room C202 Áras De Brún, School Of Mathematics, Nui Galway. Email:

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