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タイトル: | An exact expression of three-body system for the complex shear modulus of frictional granular materials |
著者: | Otsuki, Michio Hayakawa, Hisao |
著者名の別形: | 大槻, 道夫 早川, 尚男 |
発行日: | 21-Mar-2023 |
出版者: | Royal Society of Chemistry (RSC) |
誌名: | Soft Matter |
巻: | 19 |
号: | 11 |
開始ページ: | 2127 |
終了ページ: | 2137 |
抄録: | We propose a simple model comprising three particles to study the nonlinear mechanical response of jammed frictional granular materials under oscillatory shear. Owing to the introduction of the simple model, we obtain an exact analytical expression of the complex shear modulus for a system including many monodispersed disks, which satisfies a scaling law in the vicinity of the jamming point. These expressions perfectly reproduce the shear modulus of the many-body system with low strain amplitudes and friction coefficients. Even for disordered many-body systems, the model reproduces the results by introducing a single fitting parameter. |
著作権等: | © The Royal Society of Chemistry 2023 This article is licensed under a Creative Commons Attribution 3.0 Unported Licence. |
URI: | http://hdl.handle.net/2433/282770 |
DOI(出版社版): | 10.1039/d2sm01565j |
PubMed ID: | 36866597 |
出現コレクション: | 学術雑誌掲載論文等 |
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