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Effects of orthotropy and variation of Poisson's ratio on the behaviour of tubes in pure flexure


Khurram Wadee, M and Ahmer Wadee, M and Bassom, AP, Effects of orthotropy and variation of Poisson's ratio on the behaviour of tubes in pure flexure, Journal of The Mechanics and Physics of Solids, 55, (5) pp. 1086-1102. ISSN 0022-5096 (2007) [Refereed Article]

DOI: doi:10.1016/j.jmps.2006.10.003


The behaviour of tubes under conditions of pure bending is investigated for the cases where the material of which they are constructed is either orthotropic or of various Poisson's ratios. Large deflections and moderate nonlinear strains are considered and the modelling incorporates Timoshenko beam theory thereby allowing non-zero shear strains to develop. This in turn makes axially inhomogeneous deformation of the cross-section possible and, in particular, the compressed side can develop wrinkling. Numerical solutions are presented for various material types and tube dimensions and some interesting phenomena, such as mode interaction and jumping, are demonstrated.

Item Details

Item Type:Refereed Article
Keywords:Auxetic materials; Elastic instability; Post-buckling behaviour
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:107381
Year Published:2007
Web of Science® Times Cited:15
Deposited By:Mathematics and Physics
Deposited On:2016-03-11
Last Modified:2016-07-08

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