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

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...

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Veröffentlicht in:Physical review letters 2019-11, Vol.123 (21), p.214504-214504, Article 214504
Hauptverfasser: Gillissen, J J J, Ness, C, Peterson, J D, Wilson, H J, Cates, M E
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container_end_page 214504
container_issue 21
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container_title Physical review letters
container_volume 123
creator Gillissen, J J J
Ness, C
Peterson, J D
Wilson, H J
Cates, M E
description 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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source American Physical Society Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals
subjects Computer simulation
Constitutive models
Contact stresses
Mathematical models
Qualitative analysis
Shear
Shear thickening (liquids)
Steady flow
Thickening
Time dependence
title Constitutive Model for Time-Dependent Flows of Shear-Thickening Suspensions
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