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Emergent Strain-Stiffening in Interlocked Granular Chains

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タイトル: Emergent Strain-Stiffening in Interlocked Granular Chains
著者: Dumont, Denis 著作を一覧する
Houze, Maurine 著作を一覧する
Rambach, Paul 著作を一覧する
Salez, Thomas 著作を一覧する
Patinet, Sylvain 著作を一覧する
Damman, Pascal 著作を一覧する
発行日: 2017年12月15日
出版者: Cornell University Library
開始ページ: 1707.08547v2
抄録: Granular chain packings exhibit a striking emergent strain-sti ening behavior despite the individual looseness of the constitutive chains. Using indentation experiments on such assemblies, we measure an exponential increase in the collective resistance force F with the indentation depth z, and with the square root of the number N of beads per chain. These two observations are respectively reminiscent of the self-ampli cation of friction in a capstan or in interleaved books, as well as the physics of polymers. The experimental data are well captured by a novel model based on these two ingredients. Speci cally, the resistance force is found to vary according to the universal relation: log F ~ μ√NΦ11/8 z/b, where μ is the friction coe cient between two elementary beads, b is their size, and is the volume fraction of chain beads when semi-diluted in a surrounding medium of unconnected beads. Our study suggests that theories normally con ned to the realm of polymer physics at a molecular level can be used to explain phenomena at a macroscopic level. This class of systems enables the study of friction in complex assemblies, with practical implications for the design of new materials, the textile industry, and biology.
記述: This article is uploaded in "arXiv.org" https://arxiv.org/abs/1707.08547 | This is version 2 | Version1 is linked internal URL http://hdl.handle.net/2115/67873
資料タイプ: article (author version)
URI: http://hdl.handle.net/2115/67874
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: SALEZ THOMAS BLAISE

 

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