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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 "" | This is version 2 | Version1 is linked internal URL
Type: article (author version)
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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