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A novel theory of the magnetostriction mechanism using topological data analysis

Research Project

Project/Area Number 22K14590
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 29010:Applied physical properties-related
Research InstitutionTokyo University of Science

Principal Investigator

LIRAFOGGIATTO ALEXANDRE  東京理科大学, 先進工学部マテリアル創成工学科, 助教 (30870927)

Project Period (FY) 2022-04-01 – 2025-03-31
Project Status Granted (Fiscal Year 2023)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2024: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2023: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2022: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
KeywordsMagnetostriction / TDA / Machine learning / Magnetization / Magnetic domains / Persistent homology / Machine Learning
Outline of Research at the Start

Sensors are important devices in DX because they connect the real to the virtual world. Ferromagnetic shape memory alloy (FSMA) has been an intense research subject as actuators of sensors due to its high magnetostriction coefficient, low cost, and high-speed drive capability. The main topic of this research is to write a machine-learning outputted energy formula that describes the magneto-mechanical properties in real material based on structural and morphological properties to understand and improve FSMAs.

Outline of Annual Research Achievements

The research aims to explore the magnetostriction mechanism using topological data analysis and machine learning. By incorporating the material's morphology, we seek to develop a new, comprehensive theory.

Last year, we published a paper titled "Visualization of the Magnetostriction Mechanism in Fe-Ga Alloy Single Crystal Using Dimensionality Reduction Techniques" (doi: 10.1109/TMAG.2023.3312372) and presented our findings at the IEEE International Magnetics Conference.

This year, our focus has been on simulating ferromagnetic shape memory alloys (FSMA) by integrating metallography and magnetic properties. We developed custom software that combines phase-field and micromagnetics simulations. Using a mix of topological data analysis (persistent homology) and Fast Fourier Transformation (FFT), we described the the effect of stress through energy landscapes. I conducted simulations that integrate phase-field methods with micromagnetics, employing topological data analysis and unsupervised learning. This helped me identify key latent features in magnetization images and link them to their physical meanings. I observed energy barriers corresponding to changes in the magnetic domain structure of FSMA and visualized the energy exchange among different energy terms. This approach has allowed me to correlate microstructures with macro properties through free energy analysis.

Current Status of Research Progress
Current Status of Research Progress

3: Progress in research has been slightly delayed.

Reason

The primary goal for this year was to fully develop a comprehensive simulation that integrates metallography and mechanical properties. This simulation uses phase-field methods to simulate the martensite transformation and micromagnetics simulations based on the Landau-Lifshitz-Gilbert (LLG) equation.
To date, we have made significant progress in developing this simulation and conducting preliminary analyses.
The initial analysis, which combines persistent homology and Fast Fourier Transformation (FFT), has shown promising results. It indicates that the formation of energy barriers can be explained by varying the stress within the material. However, further in-depth analysis is required to fully elucidate the underlying mechanisms. Our next steps involve refining the simulation and conducting more detailed analyses to achieve a comprehensive understanding of how stress influences the formation of energy barriers and, ultimately, the magnetostriction mechanism.

Strategy for Future Research Activity

Last year, the objective was to enhance the simulation to seamlessly integrate strain stress with metallography and magnetic properties. In the first year, I analyzed Magneto-Optical Kerr Effect (MOKE) microscope images and used feature extraction techniques and machine learning to determine their contribution to magnetostriction. The second year was dedicated to understanding the fundamental physical principles involved.In the previous year, we focused on the simulation to gain a comprehensive understanding of the system.

This year, the goal is to study how latent features influence local energy and how to control these interactions. Our observations indicated that analyzing energy contributions at individual regions, rather than the total average, provided interesting insights into the mechanism. We plan to use persistent homology and inverse analysis to link important regions contributing to magnetostriction with specific energy contributions. Achieving this connection will clarify the mechanism and allow us to incorporate metallographic information into the theoretical framework. This approach will enable a deeper understanding of how individual regions contribute to the overall energy landscape, thus providing a clearer picture of the magnetostriction mechanism.

Report

(2 results)
  • 2023 Research-status Report
  • 2022 Research-status Report
  • Research Products

    (3 results)

All 2024 2023

All Journal Article (1 results) Presentation (2 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results)

  • [Journal Article] Visualization of the Magnetostriction Mechanism in Fe-Ga Alloy Single Crystal Using Dimensionality Reduction Techniques2023

    • Author(s)
      Foggiatto Alexandre Lira、Mizutori Yuta、Yamazaki Takahiro、Sato Shunsuke、Masuzawa Ken、Nagaoka Ryunosuke、Taniwaki Michiki、Fujieda Shun、Suzuki Shigeru、Ishiyama Kazushi、Fukuda Tsuguo、Igarashi Yasuhiko、Mitsumata Chiharu、Kotsugi Masato
    • Journal Title

      IEEE Transactions on Magnetics

      Volume: 59 Issue: 11 Pages: 1-4

    • DOI

      10.1109/tmag.2023.3312372

    • Related Report
      2023 Research-status Report
  • [Presentation] Visualization of the Magnetostriction Mechanism Using Machine Learning2024

    • Author(s)
      Alexandre Lira Foggiatto, Yuta Mizutori, Takahiro Yamazaki, Shunsuke Sato, Ken Masuzawa, Ryunosuke Nagaoka, Michiki Taniwaki, Shun Fujieda, Shigeru Suzuki, Kazushi Ishiyama, Tsuguo Fukuda, Yasuhiko Igarashi, Chiharu Mitsumata and Masato Kotsugi
    • Organizer
      IEEE International Magnectics Conference
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research
  • [Presentation] Interpretation of Coercivity and Energy Mechanism based on the ex-GL model2023

    • Author(s)
      Alexandre Lira Foggiatto
    • Organizer
      深化するデータ科学と表面科学, 日本表面真空学会関東支部 関東支部セミナー
    • Related Report
      2022 Research-status Report
    • Invited

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Published: 2022-04-19   Modified: 2024-12-25  

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