Size-effects in plane strain sheet-necking

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    A finite strain generalization of the strain gradient plasticity theory by Fleck and Hutchinson (J. Mech. Phys. Solids 49 (2001a) 2245) is proposed and used to study size effects in plane strain necking of thin sheets using the finite element method. Both sheets with rigid grips at the ends and specimens with shear free ends are analyzed. The strain gradient plasticity theory predicts delayed onset of localization when compared to conventional theory, and it depresses deformation localization in the neck. The sensitivity to imperfections is analyzed as well as differently hardening materials. (C) 2004 Elsevier Ltd. All rights reserved.
    Original languageEnglish
    JournalJournal of the Mechanics and Physics of Solids
    Issue number11
    Pages (from-to)2431-2454
    Publication statusPublished - 2004


    • Localization
    • Strain gradient plasticity
    • Size effects
    • Finite strain
    • Elastic–plastic material
    • Finite elements


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