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Title: A microscopic theory for discontinuous shear thickening of frictional granular materials
Authors: Saitoh, Kuniyasu
Hayakawa, Hisao  kyouindb  KAKEN_id
Author's alias: 早川, 尚男
Issue Date: 30-Jun-2017
Publisher: EDP Sciences
Journal title: EPJ Web of Conferences
Volume: 140
Thesis number: 03063
Abstract: We extend a recent theory for the rheology of frictionless granular materials [1] to the case of frictional disks in two dimensions. Employing a frictional contact model for molecular dynamics simulations, we derive difference equations of the shear stress, the granular temperature, and the spin temperature from the generalized Green-Kubo formula, where all the terms are given by microscopic expressions. The numerical solutions of the difference equations not only describe the flow curve, but also reproduce the hysteresis of shear stress, which can be the signature of discontinuous shear thickening of frictional disks.
Rights: © The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
DOI(Published Version): 10.1051/epjconf/201714003063
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