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Validity of log angles (elements of logarithm of rotation matrix) to consider orientation changes in crystals

Research Project

Project/Area Number 19K04985
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 26010:Metallic material properties-related
Research InstitutionTokyo Institute of Technology

Principal Investigator

Onaka Susumu  東京工業大学, 物質理工学院, 教授 (40194576)

Project Period (FY) 2019-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2021: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2020: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords結晶方位 / 転位組織 / 回転行列 / 対数角 / 塑性変形 / オイラー角
Outline of Research at the Start

転位組織は結晶内での方位変化をもたらすが,従来の研究における方位変化の解析は,スカラー的な回転角度であるミスオリエンテーション角の評価に限られていることが多い.しかし,そのような評価のみでは,変形や回転のテンソル性を踏まえて結晶方位変化の要点を十分に議論することはできない.そこで本研究では,方位変化を示す回転行列の対数を取ることで得られる三つの独立な実数成分が,回転角の成分であり,材料中の結晶方位変化の本質的な考察を可能にする有用な特性角であることを示す.そして,対数角による方位回転の解析が結晶性材料の組織評価に極めて有効であることを実証する.

Outline of Final Research Achievements

Orientation changes are important factors when considering microstructural changes in materials caused by plastic deformation because these are related to the arrangement and density of dislocations. The three elements of a logarithm of a rotation matrix are called log angles, which can be used as a parameter to represent crystal orientations. Experimental results of orientation changes in a cold-rolled Cu bicrystal and ultra-fine grained Al polycrystals are considered to evaluate the validity of the log angles.

Academic Significance and Societal Importance of the Research Achievements

これまでの方位変化の解析はスカラー的な回転角度であるミスオリエンテーション角の評価に限られていることが多く,回転の成分性は情報として活かされていない.回転角の基準軸周りの成分とみなせる対数角は,方位変化解析における重要な変数であり,材料の組織評価に極めて有効である.塑性変形に伴う材料中の方位変化の位置依存性の解析に対数角を応用し,その有用性を実証したことに本研究の学術的な意義がある.

Report

(4 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (12 results)

All 2022 2021 2020 2019

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (7 results)

  • [Journal Article] Probability densities of disorientation angles among randomly oriented grains in tricrystals2022

    • Author(s)
      Yoshimasu Fumito、Miyazawa Naoki、Nakada Nobuo、Onaka Susumu
    • Journal Title

      Journal of Materials Science

      Volume: 57 Issue: 4 Pages: 3010-3017

    • DOI

      10.1007/s10853-021-06729-w

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Effects of number of slip systems on slip transmission between neighbouring grains2022

    • Author(s)
      T. Ogasawara, N. Miyazawa, N. Nakada and S. Onaka
    • Journal Title

      Philosophical Magazine

      Volume: 102

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] SEM/EBSD Analysis of Grain Refinement and Coarsening of Ultra-Fine-Grained Al during Simple Shear Deformation2021

    • Author(s)
      R. Matsutani, T. Sakuragi, N. Yamagishi, N. Miyazawa, N. Nakada and S. Onaka
    • Journal Title

      MATERIALS TRANSACTIONS

      Volume: 62 Issue: 7 Pages: 921-928

    • DOI

      10.2320/matertrans.MT-M2021026

    • NAID

      130008056655

    • ISSN
      1345-9678, 1347-5320
    • Year and Date
      2021-07-01
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Approximate rotation vector expressions to consider crystal orientation changes in plastically deformed materials2020

    • Author(s)
      Susumu ONAKA
    • Journal Title

      Journal of Materials Science

      Volume: 55 Issue: 5 Pages: 2186-2192

    • DOI

      10.1007/s10853-019-04030-5

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Arrangements of three to six cubes with maximum disorientation angles2020

    • Author(s)
      Susumu ONAKA
    • Journal Title

      Philosophical Magazine

      Volume: - Issue: 13 Pages: 1703-1715

    • DOI

      10.1080/14786435.2020.1733695

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Presentation] 差方位角分布図による粒界三重線周りの結晶粒間における方位関係の解析2022

    • Author(s)
      綾 文哉,宮澤直己,尾中 晋
    • Organizer
      日本金属学会春期講演大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Fe合金単結晶の硬さ試験による圧痕周辺の結晶方位変化2021

    • Author(s)
      田中健司,宮澤直己,尾中 晋
    • Organizer
      日本金属学会秋期講演大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 超微細粒Alのせん断変形前後における組織変化の対数角による評価2020

    • Author(s)
      松谷亮輔,宮澤直己,尾中 晋
    • Organizer
      日本金属学会秋期講演大会
    • Related Report
      2020 Research-status Report
  • [Presentation] 超微細粒Alのせん断変形前後における組織変化2020

    • Author(s)
      松谷亮輔,櫻木智仁,尾中 晋
    • Organizer
      日本金属学会春期講演大会
    • Related Report
      2019 Research-status Report
  • [Presentation] Fe-3 mass%Al合金粗大結晶粒材におけるすべり線近傍での方位変化2019

    • Author(s)
      小笠原拓哉,宮澤直己,尾中 晋
    • Organizer
      日本金属学会秋期講演大会
    • Related Report
      2019 Research-status Report
  • [Presentation] 圧痕周辺での結晶方位の変化:対数角による回転角度成分の解析2019

    • Author(s)
      古谷玲,服部夏実,宮澤直己,尾中 晋
    • Organizer
      日本金属学会秋期講演大会
    • Related Report
      2019 Research-status Report
  • [Presentation] 対数角を利用した格子湾曲テンソルの評価とその応用2019

    • Author(s)
      松谷亮輔,古谷玲,服部夏実,尾中 晋
    • Organizer
      日本金属学会秋期講演大会
    • Related Report
      2019 Research-status Report

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Published: 2019-04-18   Modified: 2023-01-30  

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