Journal ArticleDOI
Frictional–collisional constitutive relations for granular materials, with application to plane shearing
P. C. Johnson,R. Jackson +1 more
TLDR
In this article, the authors propose constitutive relations and boundary conditions for plane shear of a cohesionless granular material between infinite horizontal plates, and show that not all the material between the plates participates in shearing and the solutions for the shearing material are coupled to a yield condition for the non-shearing material to give a complete solution of the problem.Abstract:
Within a granular material stress is transmitted by forces exerted at points of mutual contact between particles. When the particles are close together and deformation of the assembly is slow, contacts are sustained for long times, and these forces consist of normal reactions and the associated tangential forces due to friction. When the particles are widely spaced and deformation is rapid, on the other hand, contacts are brief and may be regarded as collisions, during which momentum is transferred. While constitutive relations are available which model both these situations, in many cases the average contact times lie between the two extremes. The purpose of the present work is to propose constitutive relations and boundary conditions for this intermediate case and to solve the corresponding equations of motion for plane shear of a cohesionless granular material between infinite horizontal plates. It is shown that, in general, not all the material between the plates participates in shearing, and the solutions for the shearing material are coupled to a yield condition for the non-shearing material to give a complete solution of the problem.read more
Citations
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Journal ArticleDOI
A bubbling fluidization model using kinetic theory of granular flow
Jianmin Ding,Dimitri Gidaspow +1 more
TL;DR: In this paper, a predictive two-phase flow model was derived starting with the Boltzman equation for velocity distribution of particles, which is a generalization of the Navier-Stokes equations of the type proposed by R. Jackson, except that the solids viscosities and stresses are computed by simultaneously solving a fluctuating energy equation for the particulate phase.
Journal ArticleDOI
The motion of a finite mass of granular material down a rough incline
Stuart B. Savage,Kolumban Hutter +1 more
TL;DR: In this article, two similarity solutions are found for the motion of a finite mass of material released from rest on a rough inclined plane, and the linear stability of the similarity solutions is studied.
Journal ArticleDOI
Discrete particle simulation of particulate systems: A review of major applications and findings
TL;DR: Zhu et al. as discussed by the authors provided a summary of the studies based on discrete particle simulation in the past two decades or so, with emphasis on the microdynamics including packing/flow structure and particle-particle, particle-fluid and particle wall interaction forces.
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.
Journal ArticleDOI
Rheophysics of dense granular materials: Discrete simulation of plane shear flows
TL;DR: From those dilatancy and friction laws, the constitutive law for dense granular flows is deduced, with a plastic Coulomb term and a viscous Bagnold term, for the limit of rigid grains.
References
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Journal ArticleDOI
Soil mechanics and plastic analysis or limit design
D. C. Drucker,W. Prager +1 more
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Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield
TL;DR: In this paper, the authors studied the flow of an idealized granular material consisting of uniform smooth, but nelastic, spherical particles using statistical methods analogous to those used in the kinetic theory of gases.
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Experiments on a Gravity-Free Dispersion of Large Solid Spheres in a Newtonian Fluid under Shear
TL;DR: In this article, a large number of spherical grains of diameter D = 0.13 cm were sheared in Newtonian fluids of varying viscosity (water and a glycerine-water-alcohol mixture) in the annular space between two concentric drums.
Journal ArticleDOI
On The Yielding of Soils
TL;DR: In this paper, Hvorslev's equation for the shear strength of clay is shown to define a surface in a space of three variables σ, e and τ. The progressive yielding of a sample defines a loading path in this space, and the paths taken by samples in differing tests can be correlated if a boundary energy correction is applied.
Journal ArticleDOI
A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles
TL;DR: In this article, the authors focus on an idealized granular material comprised of identical, smooth, imperfectly elastic, spherical particles which is flowing at such a density and is being deformed at a rate that particles interact only through binary collisions with their neighbours.