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Emergent Strain-Stiffening in Interlocked Granular Chains
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Title: | Emergent Strain-Stiffening in Interlocked Granular Chains |
Authors: | Dumont, Denis Browse this author | Houze, Maurine Browse this author | Rambach, Paul Browse this author | Salez, Thomas Browse this author | Patinet, Sylvain Browse this author | Damman, Pascal Browse this author |
Issue Date: | 15-Dec-2017 |
Publisher: | Cornell University Library |
Start Page: | 1707.08547v2 |
Abstract: | 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. |
Description: | 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 |
(Relation)replaces: | http://hdl.handle.net/2115/67873 |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/67874 |
Appears in Collections: | 国際連携研究教育局 : GI-CoRE (Global Institution for Collaborative Research and Education : GI-CoRE) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: SALEZ THOMAS BLAISE
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