Understanding plasticity of metals through proving discrete-to-continuum limits of interacting particle systems

2023 Fiscal Year Final Research Report

• Project/Area Number: 20K14358
• Research Category: Grant-in-Aid for Early-Career Scientists
• Allocation Type: Multi-year Fund
• Review Section: Basic Section 12040:Applied mathematics and statistics-related
• Research Institution: Kanazawa University
• Principal Investigator: VAN MEURS Patrick 金沢大学, 数物科学系, 助教 (20815378)
• Project Period (FY): 2020-04-01 – 2024-03-31
• Keywords: multiscale problems / plasticity / dislocations / particle systems

Outline of Final Research Achievements

My research has contributed to the improvement of steel and other metals in terms of their mechanical properties such as strength and durability. Improving steel is a huge interdisciplinary field of research. Scientists who develop new types of steel rely on theoretical guidelines to improve steel. These guidelines are usually developed by engineers. However, in the case of steel these guidelines are difficult to develop. The main reason is that the bending of steel is the result of many interacting microscopic processes happening inside steel. It is therefore necessary to derive a computable description for the group behavior of these processes. My research has advanced previous descriptions such that they are applicable to less restrictive scenarios.

Free Research Field

関数方程式

Academic Significance and Societal Importance of the Research Achievements

鉄や他の金属は建築物、インフラ、車両などの構築に使用されています。したがって、さらに小さな改良をすることが地球の資源保護、交通安全、および交通による汚染に膨大な影響を与えます。私の研究は、そのような改善の理論的な端に貢献しています。
また、私の研究の対応する数学的結果は、完全に異なる他の応用にも役立ちます。例えば、超伝導体（渦の群）、粒状媒体、動物の群れの移動、さらには人の集団の移動です。