Constitutive Model for Time-Dependent Flows of Shear-Thickening Suspensions

JJJ Gillissen and C Ness and JD Peterson and HJ Wilson and ME Cates, PHYSICAL REVIEW LETTERS, 123, 214504 (2019).

DOI: 10.1103/PhysRevLett.123.214504

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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