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Solid-phase crystallization under continuous heating: Kinetic and microstructure scaling laws

Published online by Cambridge University Press:  31 January 2011

J. Farjas  and
P. Roura
J. Farjas*
Affiliation:
Grup de Recerca en Materials i Termodinàmica (GRMT), Department of Physics, University of Girona, Campus Montilivi, Edif. PII, E17071 Girona, Catalonia, Spain
P. Roura
Affiliation:
Grup de Recerca en Materials i Termodinàmica (GRMT), Department of Physics, University of Girona, Campus Montilivi, Edif. PII, E17071 Girona, Catalonia, Spain
*
a) Address all correspondence to this author. e-mail: [email protected]
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Abstract

The kinetics and microstructure of solid-phase crystallization under continuous heating conditions and random distribution of nuclei are analyzed. An Arrhenius temperature dependence is assumed for both nucleation and growth rates. Under these circumstances, the system has a scaling law such that the behavior of the scaled system is independent of the heating rate. Hence, the kinetics and microstructure obtained at different heating rates differ only in time and length scaling factors. Concerning the kinetics, it is shown that the extended volume evolves with time according to αex = [exp(κCt′)]m+1, where t′ is the dimensionless time. This scaled solution not only represents a significant simplification of the system description, it also provides new tools for its analysis. For instance, it has been possible to find an analytical dependence of the final average grain size on kinetic parameters. Concerning the microstructure, the existence of a length scaling factor has allowed the grain-size distribution to be numerically calculated as a function of the kinetic parameters.

Keywords

Crystal growthGrain sizePhase transformation
Type
Articles
Information
Journal of Materials Research , Volume 23 , Issue 2 , February 2008 , pp. 418 - 426
Copyright
Copyright © Materials Research Society 2007

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References

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