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Spatial Distributions of Local Elastic Moduli Near the Jamming Transition

Mizuno, Hideyuki and Silbert, Leo and Sperl, Matthias (2016) Spatial Distributions of Local Elastic Moduli Near the Jamming Transition. Physical Review Letters, 116, 068302. American Physical Society. DOI: 10.1103/PhysRevLett.116.068302 ISSN 0031-9007

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Official URL: http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.068302

Abstract

Recent progress on studies of the nanoscale mechanical responses in disordered systems has highlighted a strong degree of heterogeneity in the elastic moduli. In this contribution, using computer simulations, we study the elastic heterogeneities in athermal amorphous solids—composed of isotropic static sphere packings—near the jamming transition. We employ techniques based on linear response methods that are amenable to experimentation. We find that the local elastic moduli are randomly distributed in space and are described by Gaussian probability distributions, thereby lacking any significant spatial correlations, that persist all the way down to the transition point. However, the shear modulus fluctuations grow as the jamming threshold is approached, which is characterized by a new power-law scaling. Through this diverging behavior we are able to identify a characteristic length scale, associated with shear modulus heterogeneities, that distinguishes between bulk and local elastic responses.

Item URL in elib:https://elib.dlr.de/103164/
Document Type:Article
Title:Spatial Distributions of Local Elastic Moduli Near the Jamming Transition
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Mizuno, Hideyukihideyuki.mizuno (at) dlr.deUNSPECIFIED
Silbert, LeoDLRUNSPECIFIED
Sperl, Matthiasmatthias.sperl (at) dlr.deUNSPECIFIED
Date:10 February 2016
Journal or Publication Title:Physical Review Letters
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:116
DOI :10.1103/PhysRevLett.116.068302
Page Range:068302
Publisher:American Physical Society
ISSN:0031-9007
Status:Published
Keywords:jamming heterogeneity
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 Materialforschung unter Mikro-g (old), 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 07:20
Last Modified:30 May 2019 22:06

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