2023 Fiscal Year Final Research Report
| Project/Area Number |
20K03792
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Review Section |
Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
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| Research Institution | Aoyama Gakuin University |
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Principal Investigator |
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| Project Period (FY) |
2020-04-01 – 2024-03-31
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| Keywords | 摩擦 / スティックースリップ / 前駆滑り / 地震 / アモントンークーロンの法則 / 摩擦の制御 / 冪乗則 |
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| Outline of Final Research Achievements |
As for meso-scale friction behavior, we theoretically derived load-dependent expressions for the total true contact area and total frictional force from the behavior of a single true contact point, considering a random surface that contains many true contact points and is self-similar to a real friction surface. For the macroscopic elastic body, the dependence on the shape of the bottom surface was clarified for the precursory slip and friction. Furthermore, we proposed an effective model that adds a viscoelastic term to the spring-block model, and showed that the power law no longer holds for the frequency distribution of sliding when the viscoelastic term is introduced. The distribution of velocity in a system of sheared powders was investigated, and it was shown that the velocity may continuously change from liquid-like to solid-like behavior depending on the friction coefficient between the powders and on time.
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| Free Research Field |
摩擦の物理
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| Academic Significance and Societal Importance of the Research Achievements |
得られた研究成果により、微視的モデルから巨視的系の摩擦の振る舞いを明らかにすることに部分的に成功し、摩擦の制御に向けた足がかりを得た。
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