Abstract
Abstract
Highlights
Granular flows exhibit several intriguing phenomena that distinguish them fromNewtonian fluids, such as the presence of pressure-dependent arrest and flow onset criteria leading to rate-independent and rate-dependent flows, and a dilute gas-like907 A18-2 I
This study examines the flow of dense granular materials under external shear stress and pressure using discrete element method simulations
Where η0{H} is a fourth-rank viscosity tensor. We adapt this rheological framework to model granular rheology through the following assumptions that will be demonstrated to hold true in the present simulations: (1) the flow is homogeneous with a constant stretch history (Noll 1962); and (2) the flow is planar and isochoric, i.e. D is characterized by two dominant eigenvalues and tr(D) = 0
Summary
Newtonian fluids, such as the presence of pressure-dependent arrest and flow onset (yield) criteria leading to rate-independent and rate-dependent flows, and a dilute gas-like. A detailed discussion of such viscoplastic models can be found in a recent review (Goddard 2014) These rheological models have successfully predicted granular flow profiles in a remarkable number of geometries (MiDi 2004), several rheological effects remain unexplained, such as surface curvature in free-surface flows (Couturier et al 2011; McElwaine, Takagi & Huppert 2012), negative rod climbing effects (Boyer, Pouliquen & Guazzelli 2011b), anomalous stress profile in Couette flows (Mehandia, Gutam & Nott 2012), and the observation of shear-free sheets in split-bottom Couette flows (Depken et al 2007). We describe fully stress-controlled discrete element method (DEM) simulations in both rate-independent and rate-dependent regimes This simulation method enables the evolution of all strain degrees of freedom of a fully periodic representative volume element of granular material in response to external applied shear stress and pressure.
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