Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending

Ciprian D. Coman, Andrew P. Bassom

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)327-338
Number of pages12
JournalJournal of Engineering Mathematics
Volume63
Issue number2-4
Early online date27 Sep 2007
DOIs
Publication statusPublished - Apr 2009
Externally publishedYes

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