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

8 Citations (Scopus)


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
Issue number4
Publication statusPublished - 2006


  • 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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