| Issue |
Europhys. Lett.
Volume 57, Number 1, January 2002
|
|
|---|---|---|
| Page(s) | 120 - 126 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2002-00550-y | |
| Published online | 01 September 2002 | |
Rheological instability in a simple shear-thickening model
1
Department of Physics and Astronomy, JCMB King's Buildings
University of Edinburgh, Edinburgh EH9 3JZ, UK
2
Laboratoire de Physico-Chimie Théorique, Esa CNRS 7083,
ESPCI
10 rue Vauquelin, F-75231 Paris Cedex 05, France
Received:
20
August
2001
Accepted:
15
October
2001
We study the strain response to steady imposed stress in a
spatially homogeneous,
scalar model for shear thickening, in which the local rate of
yielding 
of mesoscopic “elastic elements” is not monotonic
in the local strain l. Despite this, the macroscopic, steady-state
flow curve (stress vs. strain rate) is monotonic. However, for a broad
class of , the response to steady stress is not in fact steady
flow, but spontaneous oscillation. We discuss this finding in relation to
other theoretical and experimental flow instabilities. Within the parameter
ranges we studied, the model does not exhibit rheo-chaos.
PACS: 83.60.Rs – Shear rate-dependent structure (shear thinning and shear thickening) / 83.60.Wc – Flow instabilities / 82.40.Bj – Oscillations, chaos, and bifurcations
© EDP Sciences, 2002
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