Necking of stretched sheets modelled by a 2-D nonlocal plasticity model

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    Abstract

    In a post-necking analysis of stretched thin sheets, a 2-D nonlocal membrane finite element model is found to give a good approximation to the real 3-D post-necking behaviour. The nonlocal model used, is a finite strain version of a gradient dependent J2-flow theory. The numerical model is used to study the post-necking behaviour of a uniaxially stretched tensile test specimen with a rectangular cross-section. This model has been used in two applications, which
    will be mentioned briefly. First, the transition from the diffuse necking mode exhibited by a square bar to the oblique localised necking mode exhibited by a wide strip is investigated numerically. Second, the post-bifurcation behaviour and imperfection-sensitivity of elastic plastic tubes under internal pressure is studied using the 2-D nonlocal membrane analysis. An instability behaviour which leads to a localised necking of the tube wall. This failure mode is highly relevant for the evaluation of hydro-mechanical formability of thin metal plates.
    Original languageEnglish
    JournalJournal of the Mechanical Behavior of Biomedical Materials
    Volume11
    Issue number1-3
    Pages (from-to)141-145
    Number of pages6
    ISSN1751-6161
    DOIs
    Publication statusPublished - 2000

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