Effects of microscopic boundary conditions on plastic deformations of small-sized single crystals

Mitsutoshi Kuroda, Viggo Tvergaard

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    The finite deformation version of the higher-order gradient crystal plasticity model proposed by the authors is applied to solve plane strain boundary value problems, in order to obtain an understanding of the effect of the higher-order boundary conditions. Numerical solutions are carried out for uniaxial plane strain compression of a single crystal block and for uniform pure bending of a single crystal foil. The compressed block has loading surfaces that are penetrable or impenetrable to dislocations. This allows for a study of the two types of higher-order boundaries available, and a significant effect of higher-order boundary conditions on the overall deformation mode of the block is observed. The bent foil has free surfaces through which dislocations can go out of the material, and we observe a strong size-dependent mechanical response resulting from the surface condition assumed.
    Original languageEnglish
    JournalInternational Journal of Solids and Structures
    Volume46
    Issue number25-26
    Pages (from-to)4396-4408
    ISSN0020-7683
    DOIs
    Publication statusPublished - 2009

    Keywords

    • Material length scale
    • Constitutive behavior
    • Crystal plasticity
    • Dislocations
    • Finite element analysis

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