Effects of shape and size of crystal grains on the strengths of polycrystalline metals

Kenjiro Terada, Ikumu Watanabe, Masayoshi Akiyama

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)

    Abstract

    We investigate the effects of shape and size of crystal grains on the yielding behavior of polycrystalline metals by applying the two-scale finite element method, which is based on the homogenization theory combined with the constitutive models in crystal plasticity. After introducing the formulation of crystal-plasticity-based two-scale modeling, we characterize the mechanical behavior of a single crystal grain. Then, we first examine the effect of grain shape on macroscopic strengths by carrying out numerical experiments on several patterns of grain shapes and inhomogeneities of grain size distribution. Next, we explore the dependency of the various macroscopic strengths on the grain size, which are evaluated as the average behavior of aggregate representative volume elements (RVEs) or microstructures. We are here concerned with the empirical Hall-Petch relationship and intend to assess its possible sources for it apart from intergranular deformations.

    Original languageEnglish
    Pages (from-to)445-460
    Number of pages16
    JournalInternational Journal for Multiscale Computational Engineering
    Volume4
    Issue number4
    DOIs
    Publication statusPublished - 2006 Dec 1

    Keywords

    • Crystal plasticity
    • Grain shape effect
    • Grain size effect
    • Multiscale modeling
    • Polycrystalline metals

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Computational Mechanics
    • Computer Networks and Communications

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