Kinetic Analysis and Characterization of Epoxy Resins ... - FedOA
Kinetic Analysis and Characterization of Epoxy Resins ... - FedOA
Kinetic Analysis and Characterization of Epoxy Resins ... - FedOA
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Results <strong>and</strong> Discussion 141<br />
than the corresponding value for conventional heating, though DSC thermal pr<strong>of</strong>ile<br />
is comparable with the temperature during MW exposure (Figures 3.16, 3.17 <strong>and</strong><br />
3.29). These results suggest the existence <strong>of</strong> the “specific microwave effect”.<br />
3.4 <strong>Kinetic</strong> analysis in Microwave Field with<br />
Avrami Method<br />
The pr<strong>of</strong>iles <strong>of</strong> degree <strong>of</strong> conversion in function <strong>of</strong> reaction time, obtained in<br />
static operative conditions, have been used for a qualitative estimation <strong>of</strong> microwave<br />
kinetic parameters 18 with the Avrami method.<br />
This method was found to account well for the autocatalytic cure behaviour<br />
<strong>of</strong> an amine-epoxy system [32, 33].<br />
According to Avrami method the degree <strong>of</strong> cure is calculated with the following<br />
equation:<br />
α =1− e −ktp (3.29)<br />
The derivative form <strong>of</strong> Avrami equation is given below:<br />
dα<br />
dt = e−ktp pkt (p−1) (3.30)<br />
The Avrami parameters k <strong>and</strong> p are easily obtained through graphical analysis<br />
<strong>of</strong> the experimental degree <strong>of</strong> cure versus reaction time data by plotting<br />
log [−ln (1 − α)] versus log t.<br />
The slope <strong>of</strong> the line is equal to p <strong>and</strong> the “yintercept”<br />
is equal to log k according to the relationship 3.31:<br />
log [−ln (1 − α)] = log k + p log t (3.31)<br />
With the data obtained through experiments at 1500 W an example <strong>of</strong> this graphical<br />
analysis is illustrated in Figure 3.36.<br />
18 Activation energy E a <strong>and</strong> the pre-exponential factor k 0 .<br />
141