Power-law friction in closely-packed granular materials

Abstract

In order to understand the nature of friction in closely-packed granular materials, a discrete element simulation on granular layers subjected to isobaric plain shear is performed. It is found that the friction coefficient increases as the power of the shear rate, the exponent of which does not depend on the material constants. Using a nondimensional parameter that is known as the inertial number, the power-law can be cast in a generalized form so that the friction coefficients at different confining pressures collapse on the same curve. We show that the volume fraction also obeys a power-law.

arXiv comment4 pages

References in corpus (7)

• On dense granular flows
• A constitutive law for dense granular flows
• Rheophysics of dense granular materials : Discrete simulation of plane shear flows
• Rheological constitutive equation for model of soft glassy materials
• Relaxing in foam
• Measurements of the Yield Stress in Frictionless Granular Systems
• Criticality and Scaling Relations in a Sheared Granular Material

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• Rheology of dense granular flows for elongated particles
• Crossover from negative to positive shear rate dependence in granular friction
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• Shear flow of dense granular materials near smooth walls. I. Shear localization and constitutive laws in boundary region
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• Flow and rheology of frictional elongated grains
• Critical Scaling of Bagnold Rheology at the Jamming Transition of Frictionless Two Dimensional Disks
• Analysis of granular rheology in a quasi-two-dimensional slow flow by means of discrete element method based simulations
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• Hydrodynamic instabilities in shear flows of cohesive granular particles
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• Dynamic susceptibilities in dense soft athermal spheres under a finite-rate shear