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arXiv · 1911.00280

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

Jurriaan J. J. Gillissen·Chris Ness·Joseph D. Peterson·Helen J. Wilson·Michael E. Cates
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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.

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Jurriaan J. J. Gillissen, Chris Ness, Joseph D. Peterson, Helen J. Wilson, Michael E. Cates. 2020-07-11. Constitutive model for time-dependent flows of shear-thickening suspensions. https://doi.org/10.1103/physrevlett.123.214504

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