A non-local constitutive model for slow granular flow that incorporates dilatancy

Dsouza, PV and Nott, PR (2020) A non-local constitutive model for slow granular flow that incorporates dilatancy. In: Journal of Fluid Mechanics, 888 .

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Abstract

Over the past two decades several attempts have been made to formulate constitutive models for slow granular flow to remedy the deficiencies of classical plasticity. All the proposed models assume the medium to be incompressible, though it is well known that density change accompanies deformation in granular materials. Aparticularly important aspect of density change that is distinctive of granular materials is dilatancy, or volume deformation caused by shear deformation. No constitutive model for sustained flow has thus far captured dilatancy. Here we present a non-local constitutive model wherein the deformation rate and density at a point depend on the state of stress in a mesoscopic region around it. Apart from incorporating dilatancy, our model has a physical origin that is distinct from that of the previously proposed non-local models. We test our model on simple shear flow in the absence and presence of gravity, and find its predictions to be in good agreement with particle dynamics simulations

Item Type:	Journal Article
Publication:	Journal of Fluid Mechanics
Publisher:	Cambridge University Press
Additional Information:	The copyright for this article belongs to the Cambridge University Press
Keywords:	Confined flow; Constitutive models; Granular materials, Deformation rates; Granular flows; Nonlocal constitutive models; Nonlocal models; Particle dynamics simulations; Simple shear flow; State of stress; Volume deformation, Shear flow, computational fluid dynamics; dilatancy; flow modeling; granular medium; numerical model; shear flow
Department/Centre:	Division of Mechanical Sciences > Chemical Engineering
Date Deposited:	01 Feb 2023 07:26
Last Modified:	01 Feb 2023 07:26
URI:	https://eprints.iisc.ac.in/id/eprint/79664

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