File(s) under permanent embargo
Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending
Singular perturbation techniques are used to investigate the linear eigenvalue problem that describes the partial wrinkling of a pre-stressed rectangular thin elastic plate under in-plane bending. The dependence of the critical load and the wavelength of the localised oscillatory pattern on the non-dimensional bending rigidity of the plate is captured with a higher-order boundary-layer analysis. Comparisons with direct numerical simulations of the original eigenproblem confirm the accuracy and versatility of the asymptotic technique explored in this work.
History
Publication title
Journal of Engineering MathematicsVolume
63Issue
2-4Pagination
327-338ISSN
0022-0833Department/School
School of Natural SciencesPublisher
Kluwer Academic PublPlace of publication
Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 GzRights statement
Copyright 2007 Springer Science+Business Media B.V.Repository Status
- Restricted