Capturing transient granular rheology with extended fabric tensor relations

We present an improved continuum model for transient processes in granular simple shearing, which predicts the coupled evolution of the effective friction coefficient and fabric tensor. Specifically, the model gives the transient strength associated to the kinematics and the structure of the granula...

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Bibliographic Details
Published in:Granular matter 2019-11, Vol.21 (4), p.1-7, Article 89
Main Authors: Rojas Parra, Eduardo, Kamrin, Ken
Format: Article
Language:English
Subjects:
Chain mobility
Coefficient of friction
Complex Fluids and Microfluidics
Computer simulation
Continuum modeling
Engineering Fluid Dynamics
Engineering Thermodynamics
Evolution
Foundations
Friction
Geoengineering
Granular materials
Granular media
Heat and Mass Transfer
Hydraulics
In Memoriam of Robert P. Behringer
Industrial Chemistry/Chemical Engineering
Kinematics
late Editor in Chief of Granular Matter
Materials Science
Mathematical analysis
Molecular dynamics
Original Paper
Physics
Physics and Astronomy
Rheological properties
Rheology
Shear rate
Shearing
Soft and Granular Matter
Tensors
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Summary:We present an improved continuum model for transient processes in granular simple shearing, which predicts the coupled evolution of the effective friction coefficient and fabric tensor. Specifically, the model gives the transient strength associated to the kinematics and the structure of the granular media for the quasi-static regime. The results of the continuum model were compared against molecular dynamic simulations. The comparison for the modulus and the angle of the principal directions of the fabric tensor showed a very good agreement for all the cases analyzed. The new fabric evolution model is capable of capturing the abrupt fall in the fabric modulus and in the effective friction coefficient at the beginning of reversal processes, when the network is destroyed. The model also predicts the right spin direction of the fabric angle, when the force chains move from one steady state to another, during reversal. Improvement in modeling the stress is obtained by relating the friction coefficient to the fabric and the unit shear rate tensors.
ISSN:1434-5021
1434-7636
DOI:10.1007/s10035-019-0948-9