elements, whether particles or macromolecules, may
not adapt immediately to the new conditions. There-
fore, when such a material is subjected to a particular
shear rate, the shear stress and, consequently, the
viscosity will decrease with time. Furthermore, once
the shear stress has been removed, even if the struc-
ture that has been broken down is reversible, it may
not return to its original structure (rheological ground
state) instantly. The common feature of all these
materials is that, if they are subjected to a gradually
increasing shear rate followed immediately by a shear
rate decreasing to zero, the downcurve will be dis-
placed with regard to the upcurve, and the rheogram
will exhibit a hysteresis loop.
0016 In the case of plastic and pseudoplastic materials,
the downcurve will be displaced to below the upcurve
(Figure 5), whereas for dilatant substances, the re-
verse will be true (Figure 6).
0017The presence of the hysteresis loop indicates that a
‘breakdown’ in structure has occurred, and the area
with the loop may be used as an index of the degree of
‘breakdown.’
0018The term that is used to describe one such type of
behavior is thixotropy, which means ‘to change by
touch.’ Strictly, this term should be applied only to an
isothermal sol–gel transformation. It has, however,
become common to describe as thixotropic any
material that exhibits a reversible time-dependent
decrease in apparent viscosity. Thixotropic systems
are usually composed of asymmetric particles or
macromolecules that are capable of interacting by
numerous secondary bonds to produce a loose three-
dimensional structure, so that the material is gel-like
when unsheared. The energy that is imparted during
shearing disrupts these bonds so that the flowing
elements become aligned, and the viscosity falls,
since a gel–sol transformation has occurred. When
the shear stress is eventually removed, the structure
will tend to reform, although the process is not im-
mediate and will increase with time as the molecules
return to the original state under the influence of
Brownian motion. Furthermore, the time taken for
recovery, which can vary from minutes to days
depending upon the system, will be directly related
to the length of time that the material was subjected to
the shear stress, since this will affect the degree of
breakdown.
0019In some cases, the structure that has been destroyed
is never recovered, no matter how long the system is
left. Repeat determinations of the flow curve will then
only produce the downcurve that was obtained in the
experiment that resulted in the material’s destruction.
Such behavior should be referred to as ‘shear destruc-
tion’ rather than thixotropy, which, as will be appre-
ciated from above, is a misnomer.
0020An example of such behavior are the gels produced
by high-molecular-weight polysaccharides, which are
stabilized by large numbers of secondary bonds. Such
systems undergo extensive reorganization during
shearing such that the three-dimensional structure is
reduced: the gel-like nature of the original is then
never recovered.
0021The occurrence of such complex behavior creates
problems in quantitative classification because not
only will the apparent viscosity change with shear
rate, but there will be two ‘viscosities’ that can be
calculated for any given shear rate (i.e., from the
upcurve and the downcurve). It is usual to attempt
to calculate one viscosity for the upcurve and another
for the downcurve. This must assume, of course, that
each of the curves achieves linearity over some of its
length; otherwise, a defined shear rate must be used:
only the former situation is truly satisfactory. Each of
Rate
Stress
fig0006 Figure 6 Dilatant behavior. Reproduced from Rheology of
Liquids, Encyclopaedia of Food Science, Food Technology and Nutri-
tion, Macrae R, Robinson RK and Sadler MJ (eds), 1993, Aca-
demic Press.
Rate
Stress
fig0005 Figure 5 Plastic/pseudoplastic behavior. Reproduced from
Rheology of Liquids, Encyclopaedia of Food Science, Food Technol-
ogy and Nutrition, Macrae R, Robinson RK and Sadler MJ (eds),
1993, Academic Press.
RHEOLOGY OF LIQUIDS 4981