An averaging method of elastoplastic behavior of composites and polycrystalline metals

Shigeru Koyama, Shunichi Katano, Toshiyuki Okami, Tetsuo Iwakuma

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Typical approaches to estimate analytically average characteristics of composites may be the Hashin-Shtrikman upper/lower bounds and a method based on the Mori-Tanaka theory. These take into account microscopic geometry and local equilibrium. Within the elastic framework, we proposed a similar averaging approach which includes the classical methods and these modern methods. The method deals with 3-phase materials, but the matrix has zero volume fraction as a limit. The predictions have some characteristics similar to those by Hill's self-consistent method, and explain experimental results better than the Hashin-Shtrikman bounds. We here apply the same approach to elastoplastic materials under general loading conditions. The results are compared with pre-existing experimental data to show precision and feasibility of the method.

Original languageEnglish
Pages (from-to)121-132
Number of pages12
JournalDoboku Gakkai Ronbunshuu A
Issue number1
Publication statusPublished - 2008


  • Average behavior
  • Composites
  • Elastoplasticity
  • Mori-Tanaka theory
  • Polycrystals

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials
  • Mechanical Engineering


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