Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes
KAUST Grant NumberKUK-C1-013-04
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AbstractCylindrical 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.
CitationGoriely A, Tabor M (2013) Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469: 20130011–20130011. Available: http://dx.doi.org/10.1098/rspa.2013.0011.
SponsorsThis 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.
PublisherThe Royal Society