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An asymptotic description of the elastic instability of twisted thin elastic plates

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Summary

The work presented here reconsiders the classical stability problem for the deformation experienced by a stretched elastic strip when its ends are subjected to small twisting moments. Singular perturbation methods enable us to describe analytically the wrinkling instability that occurs when the strip is very thin. In this case the localised structure of the instability pattern is controlled by the solution of a second-order boundary value problem with variable coefficients. The theoretical results obtained are confirmed by direct numerical simulations of the full problem.

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Authors and Affiliations

  1. Department of Mathematics, University of Glasgow, University Gardens, Glasgow, G12 8QW, Scotland, UK

    C. D. Coman

  2. School of Mathematics and Statistics, University of Western Australia, Crawley, Australia

    A. P. Bassom

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  1. C. D. Coman
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  2. A. P. Bassom
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Correspondence to C. D. Coman.

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Coman, C.D., Bassom, A.P. An asymptotic description of the elastic instability of twisted thin elastic plates. Acta Mech 200, 59–68 (2008). https://doi.org/10.1007/s00707-007-0572-3

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  • DOI: https://doi.org/10.1007/s00707-007-0572-3

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