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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Published in | Physical review. E Vol. 99; no. 5-1; p. 050902 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
United States
20.05.2019
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Online Access | Get more information |
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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. |
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ISSN: | 2470-0053 |
DOI: | 10.1103/PhysRevE.99.050902 |