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

C.D. Coman, Andrew 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
    JournalJournal of Engineering Mathematics
    Volume63
    Issue number2-3
    DOIs
    Publication statusPublished - 2009

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