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

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    Type
    Article
    Authors
    Goriely, A.
    Tabor, M.
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2013-03-06
    Online Publication Date
    2013-03-06
    Print Publication Date
    2013-03-06
    Permanent link to this record
    http://hdl.handle.net/10754/599541
    
    Metadata
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    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 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.
    Citation
    Goriely 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.
    Sponsors
    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.
    Publisher
    The Royal Society
    Journal
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    DOI
    10.1098/rspa.2013.0011
    ae974a485f413a2113503eed53cd6c53
    10.1098/rspa.2013.0011
    Scopus Count
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