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Asymptotic bifurcation results for the eversion of elastic shells

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Abstract.

We apply the WKB method to the bifurcation analysis of everted cylindrical and spherical shells composed of Varga material. Both compressible and incompressible cases are considered. The method is degenerate but we obtain explicit bifurcation criteria and compare with previous numerical approximations. Different strategies are compared.

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Authors and Affiliations

  1. Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland, e-mail:, , , , , , UK

    D. M. Haughton

  2. Department of Mechanical Engineering, University of Houston, Houston, Texas 77204, USA, , , , , , US

    Y.-c. Chen

Authors
  1. D. M. Haughton
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  2. Y.-c. Chen
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Received: May 6, 2002; revised: July 24, 2002

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Haughton, D., Chen, Yc. Asymptotic bifurcation results for the eversion of elastic shells. Z. angew. Math. Phys. 54, 191–211 (2003). https://doi.org/10.1007/s000330300000

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  • DOI: https://doi.org/10.1007/s000330300000

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