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In the real world, concrete is rarely produced under isothermal conditions.
The maturity method has been developed to provide a quantitative technique
for predicting the in-place compressive strength development of a concrete,
based on its insitu thermal history [34,35]. The Arrhenius temperature dependence and
time-temperature transformation used for compressive strength can also be
applied to describing the degree of hydration as a function of time and
temperature. In both cases, the dispersion models of Knudsen [36] can be employed to describe the time
evolution of the property of interest. The parabolic form of this model
takes the form:
 |
(1) |
where Au is the ultimate achievable value of the
property, t0 is an induction time,
and k is a rate constant that typically follows an Arrhenius function
with temperature. Assuming this functional form, model properties predicted
in terms of number of cycles can be calibrated to experimental properties
measured as a function of time. In addition, knowing the heats of reaction
and heat capacities of the concrete materials
[37], the adiabatic heat signature curve of a
model concrete may be readily computed. This approach assumes that all of
the cement reactions can be considered to have the same activation
energy and underlying rate-controlling processes.
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