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Article Dans Une Revue Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Année : 2008

Nonlinear Euler buckling

Résumé

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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Dates et versions

hal-00344953 , version 1 (07-12-2008)

Identifiants

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Alain Goriely, Rebecca Vandiver, Michel Destrade. Nonlinear Euler buckling. Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 2008, 464 (2099), pp.3003-3019. ⟨10.1098/rspa.2008.0184⟩. ⟨hal-00344953⟩
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