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Yield stress: A time-dependent property and how to measure it

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Abstract

This paper reviews the different aspects of the yield stress phenomenon and attempts a synthesis of knowledge. Yield stress can be probed using constant shear stress or shear rate. The magnitude of the result depends on the time allowed to determine whether the sample has developed continuous flow or has ceased flowing. It is closely associated with creep, stress growth and thixotropic breakdown and recovery, and the characteristic times of these transient responses play a part in yield stress measurement. In thixotropic fluids, yield stress is a function of structure and hence of time. In simple thixotropy, the yield stress derived from the equilibrium flow curve is the same as that for the fully built-up structure. But in many materials, the static yield stress obtained after prolonged rest is much higher than the dynamic yield stress from the equilibrium flow curve. This is associated with the phenomenon in which the equilibrium flow curve bends upwards as the shear rate is reduced to very low values. The paper also reviews the many methods that can be used to measure yield stress. It is pointed out that the choice of observation time or shear rate to use should be related to the characteristic time of the flow process to which the result is to be applied. Examples discussed are solids suspension capability of fluids, levelling and sagging, pipeline flow and start-up power requirement of mixers.

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Abbreviations

CS :

constant structure

D :

diameter of Gun Rheometer tube

EFC :

equilibrium flow curve

G :

measured torque

L :

length of Gun Rheometer tube

P min :

minimum pressure to cause flow

t :

time

α :

form factor for shear stress

β :

\( = (d\tau /dt)_{\dot \gamma } \)

β y :

\( = (d\tau /dt)_{\dot \gamma = 0} \)

\(\dot \gamma \) :

shear rate

\(\dot \gamma _c \) :

a particular value of shear rate

\(\dot \gamma _R \) :

reference shear rate

\(\dot \gamma _T \) :

test shear rate

τ :

shear stress

τ y :

yield stress

τ yd :

dynamic yield stress

τ ys :

static yield stress

0:

initial value after speed change

e :

equilibrium

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Cheng, D.CH. Yield stress: A time-dependent property and how to measure it. Rheol Acta 25, 542–554 (1986). https://doi.org/10.1007/BF01774406

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