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Mathematical modeling of dynamics of incompatible domain structure in shape memory alloy(Fostering Joint International Research)

Research Project

Project/Area Number 16KK0122
Research Category

Fund for the Promotion of Joint International Research (Fostering Joint International Research)

Allocation TypeMulti-year Fund
Research Field Structural/Functional materials
Research InstitutionTokyo Institute of Technology

Principal Investigator

Inamura Tomonari  東京工業大学, 科学技術創成研究院, 教授 (60361771)

Research Collaborator boru jon  University of Oxford, Mathematical Institute, Professor
poruta furanchesco dera  
Project Period (FY) 2017 – 2018
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥7,800,000 (Direct Cost: ¥6,000,000、Indirect Cost: ¥1,800,000)
Keywordsマルテンサイト変態 / 形状記憶合金 / べき乗則 / マルテンサイト / ドメイン組織 / 非線形弾性論 / キンク変形
Outline of Final Research Achievements

Mathematical analysis of experimental results of the power law microstructure of the martensitic structure of a shape memory alloy. It was revealed that the length of the martensitie plate of TiNbAl shape memory alloy shows a clear power law with a power law exponent of 2.6. It was obtained from the results of numerical simulation that the domains containing a slight incompatibility are connected to each other, and the existence of this incompatibility plays an important role in the appearance of the power law. On the other hand, the theory of martensite structure of shape memory alloy was applied to the deformation microstructure of magnesium alloy, and it was clarified that the presence of disclination plays an important role in the deformation of this alloy.

Academic Significance and Societal Importance of the Research Achievements

実用合金であるニチノールに代用される形状記憶合金の内部構造を支配する数学的因子を明らかにすることで,耐久性の高い形状記憶合金の設計や,高機能化を行うための原理が得られる.また同種の数学理論によって,Mg合金の変形メカニズムを明らかにすることで,輸送機器の軽量化を通じて低炭素化社会の実現に貢献する.

Report

(2 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • Research Products

    (9 results)

All 2019 2018 2017

All Int'l Joint Research (1 results) Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (6 results) (of which Int'l Joint Research: 4 results,  Invited: 5 results) Patent(Industrial Property Rights) (1 results) (of which Overseas: 1 results)

  • [Int'l Joint Research] University of Oxford(英国)2017

    • Year and Date
      2017-09-27
    • Related Report
      2018 Annual Research Report
  • [Journal Article] Geometry of kink microstructure analysed by rank-1 connection2019

    • Author(s)
      T. Inamura
    • Journal Title

      Acta Materialia

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Presentation] Incompatible microstructure of martensite and kink deformation2019

    • Author(s)
      Tomonari Inamura
    • Organizer
      Mathematical design of new materials: strategies and algorithms for the design of alloys and metamaterials
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Rank-1接続で捉えたキンク変形の幾何学2019

    • Author(s)
      稲邑朋也
    • Organizer
      日本金属学会2019年春期(第164回)講演大会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Microscopy study on interface and dynamics of microstructure in shape memory alloy2018

    • Author(s)
      Tomonari Inamura
    • Organizer
      Mathematics and Science: In honour of Sir John Ball
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Microscopy study on interface and dynamics of microstructure in shape memory alloy2018

    • Author(s)
      Tomonari Inamura
    • Organizer
      MPI-Oberseminar
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Analysis of kink deformation based on rank-1 connection2018

    • Author(s)
      Tomonari Inamura
    • Organizer
      The 4th International Symposium on Long-Period Stacking Ordered Structure and Millefeuille Structure
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Rank-1接続に基づくキンク変形の解析2018

    • Author(s)
      稲邑朋也
    • Organizer
      軽金属学会第135回秋期大会
    • Related Report
      2018 Annual Research Report
  • [Patent(Industrial Property Rights)] Ti-Ni系合金,これを用いた線材,通電アクチュエータ及び温度センサ並びにTi-Ni系合金材の製造方法2018

    • Inventor(s)
      稲邑朋也,喜瀬純男ら
    • Industrial Property Rights Holder
      稲邑朋也,喜瀬純男ら
    • Industrial Property Rights Type
      特許
    • Filing Date
      2018
    • Related Report
      2018 Annual Research Report
    • Overseas

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Published: 2017-03-15   Modified: 2020-03-30  

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