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The ease of placement of concrete is usually refered to as workability. This word is usually ill defined, hiding at least two characteristics: the yield stress and the plastic viscosity. These two parameters were first used in concrete by Tattersall [10] using the definition given by the Bingham equation as follows:
=
0 +
µ
(1)
where
= shear stress (in Pa) applied to fresh
concrete,
is the shear strain rate (also called the strain
gradient,
in s-1),
0 = is the yield stress (in Pa),
and
µ is the plastic viscosity (in Pa·s). The yield stress and the
plastic
viscosity (the Bingham parameters) characterize the flow properties of the
fresh
concrete (Figure 1)
Tattersall proposed using an instrumented mixer to obtain a more complete
characterization of the flow behavior of fresh concrete (Tattersall 1991
[10] ) than was previously done. Recently an
improved rheometer has been developed by the Laboratoire Central des Ponts
et Chausseèes (LCPC), the BTRHEOM rheometer (de Larrard et al. 1997, de
Larrard et al. 1996, and Hu et al. 1995
[2,
3, 7] ). This
rheometer, which was used in the present study, allows the quantitative
determination of
the yield stress and the viscosity of plastic concretes. The major difference
between this
instrument and its predecessors is the parallel plate geometry, while others
have a vane or
bob rotating in a cylindrical container. The parallel plate geometry allows a
mathematical
description of the velocity field, which permits analytical calculations of the yield
stress and plastic viscosity in terms of rheometer measurements. While the standard slump test Standard Test Method for Slump of Hydraulic
Concrete
Cement (ASTM C143-95), the most widely used of all field tests of fresh
concrete, provides an indication that is reasonably well correlated to
the yield stress (de Larrard 1997 [2] ), other
tests, such as the
DIN flow
table and VEBE apparatus (de Larrard et al. 1994
[4] ), provide
results that are not very useful in terms of quality insurance in the field.
In most of
these tests, the concrete flows under the effect of a dynamic sollicitation.
Thus, the
behavior of the concrete under a single, apparently arbitrary, level of
vibration is
examined, with no possibility of determining fundamental rheological parameters and no
obvious relationship to fresh concrete in the field. A survey of the state of the art (Ferraris 1996
[5] ) shows
that none
of the current field tests (in distinction to rheometers) is able to assess the plastic
viscosity of the fresh concrete. However, this parameter is of increasing
importance in
modern concretes. For high-performance concretes, it frequently constitutes
the critical
parameter that controls pumpability (de Larrard 1997
[2] ) and ease of
finishing. Concerning the standard slump cone test, (Tanigawa et al. 1989, 1991
[8], [9] ) performed measurements of the
slump as a
function of time. They found that the slump-time curve could be simulated by
finite element
analysis of the fresh concrete assuming that the concrete is a Bingham
material. The
slump-time curve depends on both the yield stress and the plastic viscosity.
Since the
final slump is related directly to the yield stress, it is reasonable to
assume that the
time-dependence of slump is likely to be controlled by the plastic viscosity.
Considering
that the slump test is currently the only field test in the world for most
practitioners,
the test procedure was modified slightly to make possible measurements of both
the yield
stress and the plastic viscosity of fresh concrete. This paper describes the
modification
made to the standard slump test apparatus, test procedure and calculation to
determine both
the yield stress and the plastic viscosity.
Figure 1 - Yield stress and plastic viscosity of fresh concrete
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