An initial-boundary value problem for elastic plates

C. Constanda

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Abstract

    In contrast to the classical linear theory of elasticity the solution of the initial boundary-value problem of elastic-plastic bodies genuinely depends on the history of loading. Incremental methods take this fact into account, in general, by replacing the highly non-linear problem by a sequence of linear problems. This change of the mathematical model may lead to mispredictions of the behaviour of the considered body like the missing out of bifurcations and drifting of the solution. Moreover, minimum properties of incremental variational principles have only reduced value because the basic assumption of the exact knowledge of the reference state holds exclusively for the natural state.
    LanguageEnglish
    Title of host publicationIntegral Methods in Science and Engineering
    Pages63-68
    Number of pages5
    Publication statusPublished - 2002

    Fingerprint

    Elastic Plate
    Initial-boundary-value Problem
    Plastic body
    Variational Principle
    Nonlinear Problem
    Elasticity
    Bifurcation
    Mathematical Model
    Knowledge
    History

    Keywords

    • elasticity
    • boundary value
    • linear mathematics
    • fluid dyanmics

    Cite this

    Constanda, C. (2002). An initial-boundary value problem for elastic plates. In Integral Methods in Science and Engineering (pp. 63-68)
    Constanda, C. / An initial-boundary value problem for elastic plates. Integral Methods in Science and Engineering. 2002. pp. 63-68
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    Constanda, C 2002, An initial-boundary value problem for elastic plates. in Integral Methods in Science and Engineering. pp. 63-68.

    An initial-boundary value problem for elastic plates. / Constanda, C.

    Integral Methods in Science and Engineering. 2002. p. 63-68.

    Research output: Chapter in Book/Report/Conference proceedingChapter

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    Constanda C. An initial-boundary value problem for elastic plates. In Integral Methods in Science and Engineering. 2002. p. 63-68