Elastic Postbuckling with Nonlinear Constraints

Esben Byskov, Claus Dencker Christensen, Kristian Jørgensen

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    Abstract

    Koiter's asymptotic theory of initial postbuckling and imperfection sensitivity of elastic structures is expanded such that almost any auxiliary condition can be handled directly. The theory, which employs Lagrange multiplier techniques, is valid for strain measures that are quadratic in the displacements, i.e. it is exact for Lagrangian strain measures, and auxiliary conditions and loadings that are quartic in their arguments. Although the general formulas are rather lengthy and complicated in the general case they simplify considerably in almost all cases of practical interest. Frequently the formulas are only slightly more complex than in the equivalent situation without auxiliary conditions. The method is applied to the example of an elastic inextensible circular ring but is suitable for all elastic structures which comply with the above mentioned requirements regarding strain measure and auxiliary conditions.
    Original languageEnglish
    JournalInternational Journal of Solids and Structures
    Volume33
    Issue number17
    Pages (from-to)2417-2436
    ISSN0020-7683
    DOIs
    Publication statusPublished - 1996

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