Direct Determination of Asymptotic Structural Postbuckling Behaviour by the finite element method.

Peter Noe Poulsen, Lars Damkilde

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    Application of the finite element method to Koiter's asymptotic postbuckling theory often leads to numerical problems. Generally it is believed that these problems are due to locking of non-linear terms of different orders. A general method is given here that explains the reason for the numerical problems and eliminates these problems. The reason for the numerical problems is that the postbuckling stresses are inaccurately determined. By including a local stress contribution, the postbuckling stresses are calculated correctly. The present method gives smooth postbuckling stresses and shows a quick convergence of the postbuckling coefficients. (C) 1998 John Wiley & Sons, Ltd.
    Original languageEnglish
    JournalInternational Journal for Numerical Methods in Engineering
    Volume42
    Issue number4
    Pages (from-to)685-702
    ISSN0029-5981
    DOIs
    Publication statusPublished - 30 Jun 1998

    Keywords

    • asymptotic postbuckling
    • stability
    • finite element method
    • smooth stresses

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