Scaling theory of shear-induced inhomogeneous dilation in granular matter

Shearing with a finite shear rate a compressed granular system results in a region of grains flowing over a compact, static assembly. Perforce this region is dilated to a degree that depends on the shear rate, the loading pressure, gravity, various material parameters, and the preparation protocol....

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Bibliographic Details
Published inPhysical review. E Vol. 99; no. 5-1; p. 050902
Main Authors Das, Prasenjit, Hentschel, H George E, Procaccia, Itamar
Format Journal Article
LanguageEnglish
Published United States 20.05.2019
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Summary:Shearing with a finite shear rate a compressed granular system results in a region of grains flowing over a compact, static assembly. Perforce this region is dilated to a degree that depends on the shear rate, the loading pressure, gravity, various material parameters, and the preparation protocol. In spite of numerous studies of granular flows a predictive theory of the amount of dilation is still lacking. Here, we offer a scaling theory that is focused on such a prediction as a function of shear rate and the dissipative parameters of the granular assembly. The resulting scaling laws are universal with respect to changing the interparticle force laws.
ISSN:2470-0053
DOI:10.1103/PhysRevE.99.050902