Goriely, Alain; Tabor, Michael Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. (English) Zbl 1371.74210 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 469, No. 2153, Article ID 20130011, 19 p. (2013). Summary: 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. Cited in 10 Documents MSC: 74L15 Biomechanical solid mechanics 74K15 Membranes PDF BibTeX XML Cite \textit{A. Goriely} and \textit{M. Tabor}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 469, No. 2153, Article ID 20130011, 19 p. (2013; Zbl 1371.74210) Full Text: DOI