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

Alain Goriely, Michael Tabor

Research output: Contribution to journalArticlepeer-review

59 Scopus citations


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.

Original languageEnglish (US)
Article number20130011
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2153
StatePublished - May 8 2013


  • Anisotropy
  • Fibre-reinforced
  • Inversion
  • Nonlinear elasticity
  • Perversion

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering
  • General Physics and Astronomy


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