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Nonlinear Euler buckling

Goriely, Alain
; 
Vandiver, Rebecca
; 
Destrade, Michel
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Publication Date
2008-11
Keywords
Nonlinear elasticity, Euler buckling formula, Barrelling
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GORIELY, A., VANDIVER, R., DESTRADE, M. (2008) 'Nonlinear Euler buckling'. Proceedings of the Royal Society of London, Series A, 464 :303-3019.
Abstract
The 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.
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|~|
Publisher
Royal Society Publishing
Publisher DOI
http://dx.doi.org/10.1098/rspa.2008.0184
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Mathematics (Scholarly Articles)