The Cox–Merz rule extended: A rheological model for concentrated suspensions and other materials with a yield stress
作者:
D. Doraiswamy,
A. N. Mujumdar,
I. Tsao,
A. N. Beris,
S. C. Danforth,
A. B. Metzner,
期刊:
Journal of Rheology
(AIP Available online 1991)
卷期:
Volume 35,
issue 4
页码: 647-685
ISSN:0148-6055
年代: 1991
DOI:10.1122/1.550184
出版商: The Society of Rheology
关键词: Yield stress;Ceramic suspensions;Constitutive equation;Nonlinear viscoelasticity;Oscillatory behavior;Concentrated suspensions;STRESSES;SUSPENSIONS;YIELD STRENGTH;RHEOLOGY;CERAMICS;VISCOSITY;LIQUID FLOW;NONLINEAR PROBLEMS;SILICON;POLYETHYLENES
数据来源: AIP
摘要:
A nonlinear rheological model combining elastic, viscous, and yielding phenomena is developed in order to describe the rheological behavior of materials which exhibit a yield stress. A key feature of the formulation is the incorporation of a recoverable strain; it has a maximum value equal to the critical strain at which the transition from an elastic solid‐like response to a viscous shear thinning response occurs. An analysis is presented to enable determination of all the model parameters solely from dynamic measurements which are easily accessible experimentally. A rigorous correlation, analogous in form to the Cox–Merz rule, is shown to exist between the steady shear viscosity and the complex dynamic viscosity in terms of a newly defined ‘‘effective shear rate.’’ Experimental data obtained for a 70 vol % suspension of silicon particles in polyethylene indicate agreement with theoretical predictions for both the dynamic and steady shear behavior.
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