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Longitudinally inhomogeneous deformation patterns in isotropic tubes under pure bending


Wadee, MK and Wadee, MA and Bassom, AP and Aigner, AA, Longitudinally inhomogeneous deformation patterns in isotropic tubes under pure bending, Royal Society of London. Proceedings. Mathematical, Physical and Engineering Sciences, 462, (2067) pp. 817-838. ISSN 1364-5021 (2006) [Refereed Article]

Copyright Statement

Copyright 2006 The Royal Society

DOI: doi:10.1098/rspa.2005.1596


A variational model is formulated that accounts for the localization of deformation due to buckling under pure bending of thin-walled elastic tubes with circular cross-sections. Previous studies have successfully modelled the gradual process of ovalization of the cross-section with an accompanying progressive reduction in stiffness but these theories have had insufficient freedom to incorporate any longitudinal variation in the tube. Here, energy methods and small-strain nonlinear elastic theory are used to model the combined effects of cross-section deformation and localized longitudinal buckling. Results are compared with a number of case studies, including a nanotube, and it is found that the model gives rise to behaviours that correlate well with some published physical experiments and numerical studies.

Item Details

Item Type:Refereed Article
Keywords:Brazier buckling; Localization tendency; Stability and bifurcation; Structures
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:107401
Year Published:2006
Web of Science® Times Cited:27
Deposited By:Mathematics and Physics
Deposited On:2016-03-11
Last Modified:2016-09-08

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