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Pre- and post-transition behavior of shear-thickening fluids in oscillating shear

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Abstract

The dynamic shear-thickening behavior of concentrated colloidal suspensions of fumed silica in polypropylene glycol has been investigated. Dynamic frequency sweeps showed that, for any given solids concentration, the complex viscosity at different imposed strain amplitudes followed a unique power-law-type behavior up to the onset of strain thickening. Moreover, similar behavior was also observed in the post-transition state, i.e., the viscosities again superimposed at frequencies beyond the transition frequency. In an attempt to develop a parametric description of this behavior, both the Delaware–Rutgers rule and the concept of a critical shear stress for the onset of shear thickening in steady-state experiments were considered. However, neither approach could account for the observed trends over the entire range of strains and frequency investigated. Plots of the critical shear strains for the onset and the end-point of the transition as a function of frequency were, therefore, used to describe the state of the suspensions for an arbitrary combination of strain and frequency. Finally, Fourier transform (FT) rheology was used to evaluate the extent of non-linearity in the response of the suspensions to dynamic shear, and it was shown that the observed behavior was not significantly influenced by wall slip at the tool–specimen interface.

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Abbreviations

STF:

shear-thickening fluid

FT:

Fourier transform

ODT:

order-to-disorder transition

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Acknowledgment

The authors gratefully acknowledge the Sports and Rehabilitation Engineering (SRE) program of the EPFL for the financial support, Prof. Norman J. Wagner and his group at the University of Delaware for numerous discussions of shear-thickening rheology, and Degussa for supplying the materials. They also acknowledge Lars E. Schmidt from LTC for fruitful discussions of FT rheology.

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Authors and Affiliations

  1. Laboratoire de Technologie des Composites et Polymères (LTC), Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015, Lausanne, Switzerland

    Christian Fischer, Christopher J. G. Plummer, Véronique Michaud, Pierre-Etienne Bourban & Jan-Anders E. Månson

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  1. Christian Fischer
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  2. Christopher J. G. Plummer
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  3. Véronique Michaud
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  4. Pierre-Etienne Bourban
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  5. Jan-Anders E. Månson
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Correspondence to Jan-Anders E. Månson.

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Fischer, C., Plummer, C.J.G., Michaud, V. et al. Pre- and post-transition behavior of shear-thickening fluids in oscillating shear. Rheol Acta 46, 1099–1108 (2007). https://doi.org/10.1007/s00397-007-0202-y

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  • DOI: https://doi.org/10.1007/s00397-007-0202-y

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