### Abstract

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 ratio_{hkl} = (_{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 (= 2_{44}(_{11} −_{12})) and _{h00} = (_{h00} ^{∗} _{0}).

Original language | English |
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Pages (from-to) | 855-860 |

Number of pages | 6 |

Journal | Zairyo/Journal of the Society of Materials Science, Japan |

Volume | 67 |

Issue number | 9 |

DOIs | |

Publication status | Published - Sep 1 2018 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

*Zairyo/Journal of the Society of Materials Science, Japan*,

*67*(9), 855-860. https://doi.org/10.2472/jsms.67.860

**Relation between diffraction young's modulus ratio and elastic anisotropy in metals.** / Takaki, Setsuo; Masumura, Takuro; Jiang, Fulin; Tsuchiyma, Toshihiro.

Research output: Contribution to journal › Article

*Zairyo/Journal of the Society of Materials Science, Japan*, vol. 67, no. 9, pp. 855-860. https://doi.org/10.2472/jsms.67.860

}

TY - JOUR

T1 - Relation between diffraction young's modulus ratio and elastic anisotropy in metals

AU - Takaki, Setsuo

AU - Masumura, Takuro

AU - Jiang, Fulin

AU - Tsuchiyma, Toshihiro

PY - 2018/9/1

Y1 - 2018/9/1

N2 - 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(11 −12)) and h00 = (h00 ∗ 0).

AB - 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(11 −12)) and h00 = (h00 ∗ 0).

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U2 - 10.2472/jsms.67.860

DO - 10.2472/jsms.67.860

M3 - Article

VL - 67

SP - 855

EP - 860

JO - Zairyo/Journal of the Society of Materials Science, Japan

JF - Zairyo/Journal of the Society of Materials Science, Japan

SN - 0514-5163

IS - 9

ER -