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Nonlinear Euler buckling

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 08 Jul 2008Embargo end date: 01 Jan 2008 France, Ireland, United Kingdom English Publisher:The Royal SocietyJournal:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 464, pages 3,003-3,019 (issn: 1364-5021, eissn: 1471-2946, Copyright policy )Publicly funded
Authors: Goriely, Alain; Vandiver, Rebecca; Destrade, Michel;

doi: 10.1098/rspa.2008.0184 , 10.48550/arxiv.0812.1398 , 10.13025/15274

arXiv: 0812.1398

handle: 10379/3151

Nonlinear Euler buckling

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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Keywords

[PHYS.MECA.SOLID] Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph], nonlinear elasticity, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Bifurcation and buckling, Barrelling, Nonlinear elasticity, FOS: Physical sciences, [PHYS.MECA.MSMECA] Physics [physics]/Mechanics [physics]/Materials and structures in mechanics [physics.class-ph], Euler buckling formula, [SPI.MECA.MEMA] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph], [PHYS.MECA.MEMA] Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph], barrelling, [SPI.MECA.SOLID] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph], [SPI.MECA.MSMECA] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph], Exactly Solvable and Integrable Systems (nlin.SI)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
72
Top 10%
Top 10%
Top 10%
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