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On dense granular flows.

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TLDR
A quantitative comparison between data coming from different experiments in the same geometry identifies the robust features in each case and a transverse analysis of the data across the different configurations allows to identify the relevant dimensionless parameters, the different flow regimes and to propose simple interpretations.
Abstract
The behaviour of dense assemblies of dry grains submitted to continuous shear deformation has been the subject of many experiments and discrete particle simulations. This paper is a collective work carried out among the French research group Groupement de Recherche Milieux Divises (GDR MiDi). It proceeds from the collection of results on steady uniform granular flows obtained by different groups in six different geometries both in experiments and numerical works. The goal is to achieve a coherent presentation of the relevant quantities to be measured i.e. flowing thresholds, kinematic profiles, effective friction, etc. First, a quantitative comparison between data coming from different experiments in the same geometry identifies the robust features in each case. Second, a transverse analysis of the data across the different configurations, allows us to identify the relevant dimensionless parameters, the different flow regimes and to propose simple interpretations. The present work, more than a simple juxtaposition of results, demonstrates the richness of granular flows and underlines the open problem of defining a single rheology.

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Citations
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Particle-size and -density segregation in granular free-surface flows

TL;DR: In this paper, binary mixture theory is used to generalize models for particle-size segregation to include density differences between the grains, which adds considerable complexity to the theory, since the bulk velocity is compressible and does not uncouple from the evolving concentration fields.
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Asymptotic behaviour of granular materials

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Rheology of dense snow flows: Inferences from steady state chute-flow experiments

TL;DR: In this paper, the authors investigated the rheological behavior of a dense flow of dry snow, which often occurs in real avalanches, and carried out systematic small-scale in situ flows down a flume with natural snow.
Journal ArticleDOI

Constitutive relations for the shear band evolution in granular matter under large strain

Stefan Luding
- 01 Dec 2008 - 
TL;DR: In this article, a split-bottom ring shear cell is used for powder flow simulation, where the bottom plate is split such that the outer part of it can move with the outer wall, while the other part (inner disk) is immobile.
Journal ArticleDOI

A Model for Granular Flows over an Erodible Surface

TL;DR: This paper describes an approach to incorporate the interaction between a mass flow, an erodible bed, and the topography of that bed, using the kinetic theory for rapid granular flow to model a “mixing” layer.
References
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Journal ArticleDOI

Dynamics of viscoplastic deformation in amorphous solids

TL;DR: In this article, a dynamical theory of low-temperature shear deformation in amorphous solids is proposed based on molecular-dynamics simulations of a two-dimensional, two-component non-crystalline system.
Journal ArticleDOI

Rapid granular flows

TL;DR: In this article, the authors present a review of the fluid-like behavior of granular solids and, in particular, those flows for which the material is rapidly sheared, and discuss various modeling techniques used to describe the motion of the bulk material.
Book

Statics and Kinematics of Granular Materials

TL;DR: In this article, Coulomb's method of wedges and differential slices were used to determine the stress and strain rate of Coulomb material, and the conical yield function was used to predict mass flow rate.
Journal ArticleDOI

Granular flow down an inclined plane: Bagnold scaling and rheology

TL;DR: A systematic, large-scale simulation study of granular media in two and three dimensions, investigating the rheology of cohesionless granular particles in inclined plane geometries, finds that a steady-state flow regime exists in which the energy input from gravity balances that dissipated from friction and inelastic collisions is found.
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