Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes

A. Goriely, M. Tabor

Research output: Contribution to journalArticlepeer-review

60 Scopus citations

Abstract

Cylindrical tubes and membranes are universal structural elements found in biology and engineering over a wide range of scales.Working in the framework of nonlinear elasticity, we consider the possible deformations of elastic cylindrical shells reinforced by one or two families of fibres. We consider both small and large deformations and the reduction from thick cylindrical shells (tubes) to thin shells (cylindrical membranes). In particular, a number of universal parameter regimes can be identified where the response behaviour of the cylinder is qualitatively different. This include the possibility of inversion of twist or axial strain when the cylinder is subject to internal pressure. Copyright © The Royal Society 2013.
Original languageEnglish (US)
Pages (from-to)20130011
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume469
Issue number2153
DOIs
StatePublished - Mar 6 2013
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This publication is based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST), and based in part upon work supported by the National Science Foundation under grants no. DMS-0907773 (M.T.). A.G. is a Wolfson Royal Society Merit Holder and acknowledges support from a Reintegration Grant under EC Framework VII.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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