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

journal contribution
posted on 2023-05-18, 15:42 authored by Coman, CD, Andrew BassomAndrew Bassom
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.

History

Publication title

Acta Mechanica

Volume

200

Issue

1-2

Pagination

59-68

ISSN

0001-5970

Department/School

School of Natural Sciences

Publisher

Springer-Verlag Wien

Place of publication

Sachsenplatz 4-6, Po Box 89, Vienna, Austria, A-1201

Rights statement

?Copyright Springer-Verlag 2008

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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