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An asymptotic description of the elastic instability of twisted thin elastic plates
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 MechanicaVolume
200Issue
1-2Pagination
59-68ISSN
0001-5970Department/School
School of Natural SciencesPublisher
Springer-Verlag WienPlace of publication
Sachsenplatz 4-6, Po Box 89, Vienna, Austria, A-1201Rights statement
?Copyright Springer-Verlag 2008Repository Status
- Restricted