A Microscopic Description of the Granular Fluidity Field in Nonlocal Flow Modeling

Abstract

A recent granular rheology based on an implicit `granular fluidity' field has been shown to quantitatively predict many nonlocal phenomena. However, the physical nature of the field has not been identified. Here, the granular fluidity is found to be a kinematic variable given by the velocity fluctuation and packing fraction. This is verified with many discrete element simulations, which show the operational fluidity definition, solutions of the fluidity model, and the proposed microscopic formula all agree. Kinetic theoretical and Eyring-like explanations shed insight into the obtained form.

References in corpus (4)

• Annular shear of cohesionless granular materials: from inertial to quasistatic regime
• Continuum modeling of mechanically-induced creep in dense granular materials
• Experimental Measures of Affine and Non-affine Deformation in Granular Shear
• Average balance equations, scale dependence, and energy cascade for granular materials

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