Relation between diffraction young's modulus ratio and elastic anisotropy in metals

Setsuo Takaki, Takuro Masumura, Fulin Jiang, Toshihiro Tsuchiyama

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


Elastic anisotropy of polycrystalline metals can be evaluated by the difference in diffraction Young's modulus of each crystal plane {hkl} and the values of Young's modulus are theoretically calculated applying the stiffness; C11, C12 and C44 to the Reuss and Voigt model. In this paper, the values of diffraction Young's modulus E*hkl are calculated by the Reuss-Voigt average model for pure iron (bcc), austenitic steels (fcc), nickel (fcc), copper (fcc) and aluminum (fcc) and then the Young's modulus ratiohkl = (hkl 0) is proposed to evaluate the relative elastic anisotropy. Here, E0 denotes the value obtained by the Voigt model. The value of E0 can be estimated from the experimentally obtained Young's modulus Em for polycrystalline metals by the equation; E01.13Em. It was also found that there is good correlation between the anisotropy parameter Ai (= 244(1112)) and h00 = (h00 0).

Original languageEnglish
Pages (from-to)855-860
Number of pages6
JournalZairyo/Journal of the Society of Materials Science, Japan
Issue number9
Publication statusPublished - Sep 2018

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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