TY - JOUR
T1 - Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes
AU - Goriely, A.
AU - Tabor, M.
N1 - 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.
PY - 2013/3/6
Y1 - 2013/3/6
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/599541
UR - https://royalsocietypublishing.org/doi/10.1098/rspa.2013.0011
UR - http://www.scopus.com/inward/record.url?scp=84877249294&partnerID=8YFLogxK
U2 - 10.1098/rspa.2013.0011
DO - 10.1098/rspa.2013.0011
M3 - Article
SN - 1364-5021
VL - 469
SP - 20130011
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2153
ER -