Effects of frictional and anisotropic collision on the constitutive relations for a simple shear flow of spheres
type: Item
instance of: scholarly article
title: Effects of frictional and anisotropic collision on the constitutive relations for a simple shear flow of spheres
zbMATH Open document ID: 0583.73033
DOI: 10.1016/0020-7225(86)90033-9
author: Rhonda K. Raymond
author: Hayley H. Shen
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: An extension of a previous analysis for shearing flow of disks is presented [the second author and \textit{N. L. Ackermann}, J. Eng. Mech. Div. 108, No.EM5, 748 ff (1982)]. Constitutive relations are derived for a simple shear flow of spheres. Binary collision is assumed to be the dominant stress generating mechanism. The frictional forces between colliding spheres are modeled in detail. The anisotropy of collision on the surface of a sphere is quantified. This anisotropy is caused by the mean shearing motion, which favors collision on the upstream face of the flowing spheres. The singularity which existed in previous calculations of the stress state is removed. The singularity is removed as a result of the correct modeling of frictional collision. The magnitude of stresses is also increased due to the consideration of anisotropy.
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74A20
zbMATH DE Number: 3934498
zbMATH Keywords: Constitutive relations
zbMATH Keywords: simple shear flow of spheres
zbMATH Keywords: Binary collision
zbMATH Keywords: frictional forces
zbMATH Keywords: anisotropy of collision
zbMATH Keywords: mean shearing motion
zbMATH Keywords: collision on the upstream face
zbMATH Keywords: singularity
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90033-9
OpenAlex ID: W2082096324
cites work: A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles
cites work: A micropolar continuum theory for the flow of granular materials
cites work: Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield
cites work: Constitutive equations for a simple shear flow of a disk shaped granular mixture
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description: scientific article; zbMATH DE number 3934498