Nonlinear Euler buckling

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dc.creatorGoriely, Alain
dc.creatorVandiver, Rebecca
dc.creatorDestrade, Michel
dc.date2008-12-07
dc.date.accessioned2026-07-07T12:10:09Z
dc.date.available2026-07-07T12:10:09Z
dc.descriptionThe buckling of hyperelastic incompressible cylindrical tubes of arbitrary length and thickness under compressive axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for bifurcation are developed using the exact solution of Wilkes for the linearized problem within the Stroh formalism. Using these methods, the range of validity of the Euler buckling formula and its first nonlinear corrections are obtained for third-order elasticity. The values of the geometric parameters (tube thickness and slenderness) where a transition between buckling and barrelling is observed are also identified.
dc.identifierhttps://arxiv.org/abs/0812.1398
dc.identifierhttp://arxiv.org/abs/0812.1398
dc.identifierProceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character 464, 2099 (2008) 3003-3019
dc.identifierdoi:10.1098/rspa.2008.0184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209857
dc.subjectExactly Solvable and Integrable Systems
dc.titleNonlinear Euler buckling
dc.typetext

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