Rheological instability in a simple shear thickening model

Details Rheological instability in a simple shear thickening model Rheological instability in a simple shear thickening model

2001-08-14

arxiv.org/abs/cond-mat/0108224v2

Physics

Condensed Matter

Soft Condensed Matter

8 pages, 3 figs. Minor corrections made. To appear in Euro. Phys. Lett

Scientific paper

10.1209/epl/i2002-00550-y

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 \Gamma(l) 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 \Gamma(l), 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.

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