Journal article

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.

Publication status:: Published

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APA Style

Goriely, A., Vandiver, R., & Destrade, M. (2008). Nonlinear Euler buckling. Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character, 464(2099), 2099.

MLA Style

Goriely, A., et al. “Nonlinear Euler Buckling.” Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character, vol. 464, no. 2099, 2008, p. 2099.

Chicago Style

Goriely, A, R Vandiver, and M Destrade. 2008. “Nonlinear Euler Buckling.” Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character 464 (2099): 2099.
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Publisher copy:: 10.1098/rspa.2008.0184

Authors

+ Goriely, A More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Vandiver, R More by this author

Role:: Author

+ Destrade, M More by this author

Role:: Author

Journal:: Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character More from this journal
Volume:: 464
Issue:: 2099
Pages:: 2099
Publication date:: 2008-12-07
DOI:: 10.1098/rspa.2008.0184
EISSN:: 1471-2946
ISSN:: 1364-5021

Language:: English
Keywords:: nlin.SI
Pubs id:: pubs:188887
UUID:: uuid:1a55c425-4b66-4e1c-b02c-51b33a3349c3
Local pid:: pubs:188887
Source identifiers:: 188887
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 2008

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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