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

2018 Fiscal Year Final Research Report

• Project/Area Number: 16KK0122
• Research Category: Fund for the Promotion of Joint International Research (Fostering Joint International Research)
• Allocation Type: Multi-year Fund
• Research Field: Structural/Functional materials
• Research Institution: Tokyo 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
• Keywords: マルテンサイト変態 / 形状記憶合金 / べき乗則

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.

Free Research Field

金属組織学

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．