Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2012-01-30
Physics
Condensed Matter
Soft Condensed Matter
4.5 pages, 5 figures, 2 pages supplemental material
Scientific paper
Within a highly generalised theoretical framework for the flow properties of complex fluids, we study the onset of shear banding in the three most common time-dependent experimental protocols: step stress, step strain and shear startup. By means of a linear stability analysis we derive a fluid-universal criterion for the onset of banding, separately for each protocol, that 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 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 support them with simulations of the rolie-poly model of polymeric fluids, the soft glassy rheology model, and a fluidity model.
Fielding Suzanne M.
Moorcroft Robyn L.
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