The Mathematical Institute, University of Oxford, Eprints Archive

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

Goriely, A. and Tabor, M. (2013) Rotation, inversion, and perversion in anisotropic elastic cylindrical tubes and membranes. Proceedings of The Royal Society A . (Submitted)

[img]
Preview
PDF
800kB

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 anisotropic fibers. 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 regimes can be identified including the possibility of inversion and perversion of rotation.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1675
Deposited By: Peter Hudston
Deposited On:22 Feb 2013 13:32
Last Modified:29 May 2015 19:22

Repository Staff Only: item control page