Constitutive model for time-dependent flows of shear-thickening suspensions

ORAL

Abstract

We develop a tensorial constitutive model for dense, shear-thickening particle suspensions subjected to time-dependent flow. Our model combines a recently proposed evolution equation for the suspension microstructure in rate-independent materials with ideas developed previously to explain the steady flow of shear-thickening ones, whereby friction proliferates among compressive contacts at large particle stresses. We apply our model to shear reversal, and find good qualitative agreement with particle-level, discrete-element simulations whose results we also present.

*We acknowledge financial support from the Engineer- ing and Physical Sciences Research Council of the United Kingdom Grant No. EP/N024915/1, and from the Eu- ropean Research Council under the Horizon 2020 Pro- gramme, ERC grant agreement number 740269. MEC is funded by the Royal Society.

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Authors

  • Jurriaan J J Gillissen

    • University College London
    • Department of Mathematics, University College London,

  • Christopher Ness

    • University of Cambridge

  • Joseph Peterson

    • University of Cambridge

  • Helen Wilson

    • University College London

  • Michael Cates

    • University of Cambridge