Spatial force correlations in granular shear flow. II. Theoretical implications

Lois, Gregg; Lemaı̂tre, Anaël; Carlson, Jean M.

doi:10.1103/physreve.76.021303

Cited by 32 publications

(28 citation statements)

References 46 publications

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“…We further expect it to depend on details such as particle size distribution [25] as the maximum packing fraction changes. The size of the clusters we describe is likely related to an interparticle force correlation length ξ whose growth was shown by Lois et al [28] to correspond with a transition from sparse to dense flow. They demonstrated that the transitional value of ξ depends on the interparticle restitution coefficient, which we expect will influence our segregation transition as well.…”

Section: (C) and (D)supporting

confidence: 52%

Phase Transitions in Shear-Induced Segregation of Granular Materials

Fan

Hill

2011

Phys. Rev. Lett.

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Section: (C) and (D)supporting

confidence: 52%

Phase Transitions in Shear-Induced Segregation of Granular Materials

Fan

Hill

2011

Phys. Rev. Lett.

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“…The result that g(r) behaves the same along both diagonals is different from the earlier finding of an angular dependence of the correlation length in shearing systems [7] with minimum and maximum along the different diagonals. The reason for this difference is not clear, but we speculate that it is related to the very different dynamics in their system, which is also reflected in the oscillatory behavior of their velocity correlation function.…”

Section: Spatial Dependencecontrasting

confidence: 56%

“…A large correlation length was however found in Ref. [7] and they also argued for a pronounced angular dependence of the velocity correlations [8].…”

Section: Introductionmentioning

confidence: 96%

Asymmetric velocity correlations in shearing media

Olsson

2010

Phys. Rev. E

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A model of soft frictionless disks in two dimensions at zero temperature is simulated with a shearing dynamics to study various kinds of asymmetries in sheared systems. We examine both single particle properties, the spatial velocity correlation function, and a correlation function designed to separate clockwise and counter-clockwise rotational fields from one another. Among the rich and interesting behaviors we find that the velocity correlation along the two different diagonals corresponding to compression and dilation, respectively, are almost identical and, furthermore, that a feature in one of the correlation functions is directly related to irreversible plastic events.

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“…Mean force on the obstacle [52][53][54][55][56]). This issue is not discussed in detail in this paper.…”

Section: Control Flows Without An Obstaclementioning

confidence: 99%

Mean steady granular force on a wall overflowed by free-surface gravity-driven dense flows

Faug¹,

Beguin²,

Chanut³

2009

Phys. Rev. E

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We studied free-surface gravity-driven recirculating flows of cohesionless granular materials down a rough inclined plane and overflowing a wall normal to the incoming flow and to the bottom. We performed 2D spherical particle discrete element simulations using a linear damped spring law between particles with a Coulomb failure criterion. High-frequency force fluctuations were observed. This paper focuses on the mean steady force exerted by the flow on the obstacle versus the macroscopic inertial number of the incoming flow, where the inertial number measures the ratio between a macroscopic deformation timescale and an inertial timescale. A triangular stagnant zone is formed upstream of the obstacle and sharply increases the mean force at low incoming inertial numbers. A simple hydrodynamic model based on depth-averaged momentum conservation isproposed. This analytical model predicts the numerical data fairly well and allows us to quantify the different contributions to the mean force on the wall. Beyond this model, our study provides an example of the ability of simple hydrodynamic approaches to describe the macroscopic behavior of an assembly of discrete particles, not only in terms of kinematics, but also in terms of forces.

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Spatial force correlations in granular shear flow. II. Theoretical implications

Cited by 32 publications

References 46 publications

Phase Transitions in Shear-Induced Segregation of Granular Materials

Phase Transitions in Shear-Induced Segregation of Granular Materials

Asymmetric velocity correlations in shearing media

Mean steady granular force on a wall overflowed by free-surface gravity-driven dense flows

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