Force networks and the dynamic approach to jamming in sheared granular media

Diverging correlation lengths on either side of the jamming transition are used to formulate a rheological model of granular shear flow, based on the propagation of stress through force chain networks. The model predicts three distinct flow regimes, characterized by the shear rate dependence of the...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2006-12
Main Authors: Gregg, Lois, Carlson, Jean M
Format: Article
Language:English
Subjects:
Computer simulation
Dependence
Granular materials
Granular media
Jamming
Mathematical models
Rheological properties
Shear flow
Shear modulus
Shear rate
Shear strain
Stress propagation
Tensors
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Diverging correlation lengths on either side of the jamming transition are used to formulate a rheological model of granular shear flow, based on the propagation of stress through force chain networks. The model predicts three distinct flow regimes, characterized by the shear rate dependence of the stress tensor, that have been observed in both simulations and experiments. The boundaries separating the flow regimes are quantitatively determined and testable. In the limit of jammed granular solids, the model predicts the observed anomalous scaling of the shear modulus and a new relation for the shear strain at yield.
ISSN:2331-8422
DOI:10.48550/arxiv.0612680