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Longitudinally inhomogeneous deformation patterns in isotropic tubes under pure bending
journal contribution
posted on 2023-05-18, 17:51 authored by Wadee, MK, Wadee, MA, Andrew BassomAndrew Bassom, Aigner, AAA 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.
History
Publication title
Royal Society of London. Proceedings. Mathematical, Physical and Engineering SciencesVolume
462Issue
2067Pagination
817-838ISSN
1364-5021Department/School
School of Natural SciencesPublisher
Royal Soc LondonPlace of publication
6 Carlton House Terrace, London, England, Sw1Y 5AgRights statement
Copyright 2006 The Royal SocietyRepository Status
- Restricted