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Anomalous energy cascades in dense granular materials yielding under simple shear deformations

Saitoh, Kuniyasu and Mizuno, Hideyuki (2016) Anomalous energy cascades in dense granular materials yielding under simple shear deformations. Soft Matter, 12, p. 1360. Royal Society of Chemistry. DOI: 10.1039/C5SM02760H ISSN 1744-683X

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Abstract

By using molecular dynamics (MD) simulations of dense granular particles in two dimensions, we study turbulent-like structures of their non-affine velocities under simple shear deformations. We find that the spectrum of non-affine velocities, introduced as an analog of the energy spectrum for turbulent flows, exhibits the power-law decay if the system is yielding in a quasi-static regime, where large-scale collective motions and inelastic interactions of granular particles are crucial for the anomalous cascade of kinetic energy. Based on hydrodynamic equations of dense granular materials, which include both kinetic and contact contributions in constitutive relations, we derive a theoretical expression for the spectrum, where a good agreement between the result of MD simulations and theoretical prediction is established over a wide range of length scales.

Item URL in elib:https://elib.dlr.de/103165/
Document Type:Article
Title:Anomalous energy cascades in dense granular materials yielding under simple shear deformations
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Saitoh, KuniyasuUNSPECIFIEDUNSPECIFIED
Mizuno, Hideyukihideyuki.mizuno (at) dlr.deUNSPECIFIED
Date:1 January 2016
Journal or Publication Title:Soft Matter
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:12
DOI :10.1039/C5SM02760H
Page Range:p. 1360
Publisher:Royal Society of Chemistry
ISSN:1744-683X
Status:Published
Keywords:molecular dynamics
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Forschung unter Weltraumbedingungen
DLR - Research theme (Project):R - Vorhaben Materialwissenschaftliche Forschung (old)
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Sperl, Matthias
Deposited On:22 Feb 2016 07:19
Last Modified:06 Sep 2019 15:20

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