R.L. Moorcroft
Criteria for Shear Banding in Time-Dependent Flows of Complex Fluids
Moorcroft, R.L.; Fielding, S.M.
Abstract
We study theoretically the onset of shear banding in the three most common time-dependent rheological protocols: step stress, finite strain ramp (a limit of which gives a step strain), and shear startup. By means of a linear stability analysis we provide a fluid-universal criterion for the onset of banding for each protocol, which depends only on the shape of the experimentally measured time-dependent rheological response function, independent of the constitutive law and internal state variables of the particular fluid in question. Our predictions thus have the same highly general status, in these time-dependent flows, as the widely known criterion for banding in steady state (of negatively sloping shear stress vs shear rate). We illustrate them with simulations of the Rolie-Poly model of polymer flows, and the soft glassy rheology model of disordered soft solids.
Citation
Moorcroft, R., & Fielding, S. (2013). Criteria for Shear Banding in Time-Dependent Flows of Complex Fluids. Physical Review Letters, 110(8), Article 086001. https://doi.org/10.1103/physrevlett.110.086001
Journal Article Type | Article |
---|---|
Publication Date | Feb 1, 2013 |
Deposit Date | Mar 19, 2013 |
Publicly Available Date | Mar 28, 2024 |
Journal | Physical Review Letters |
Print ISSN | 0031-9007 |
Electronic ISSN | 1079-7114 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 110 |
Issue | 8 |
Article Number | 086001 |
DOI | https://doi.org/10.1103/physrevlett.110.086001 |
Files
Published Journal Article
(474 Kb)
PDF
Copyright Statement
© 2013 American Physical Society
You might also like
Constitutive model for the rheology of biological tissue
(2023)
Journal Article
Yielding, shear banding, and brittle failure of amorphous materials
(2022)
Journal Article
Perspectives on viscoelastic flow instabilities and elastic turbulence
(2022)
Journal Article
Power fluctuations in sheared amorphous materials: A minimal model
(2022)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search