Approaches for isochronal transformation kinetics model and their application to the crystallization of amorphous alloys

An analytical model for isochronal phase transformation kinetics has attracted much attention for its advantages and importance. However, simple but exact analytical formulae of the isochronal transformation are unavailable because of the so-called temperature integral. Here an improved analytical model for isochronal transformation kinetics has been established by considering various nucleation and growth modes on using an improved treatment for the temperature integral. The powerful model-analysis method was also adopted to investigate the validity and effectiveness of the general and the improved isochronal transformation analytical model by applying them to two crystallization processes of amorphous alloys: a wide temperature interval one and a narrow one. The results showed that the improved model can provide a much better description for the narrow one while the improved and general models perform equally well in the wide one.