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Solid phase crystallization under continuous heating: kinetic and microstructure scaling laws

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

© Journal of Materials Research, 2008, vol. 23, núm. 2, p. 418-426

Materials Research Society

Author: Farjas Silva, Jordi
Roura Grabulosa, Pere
Date: 2011
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
Format: application/pdf
ISSN: 0884-2914 (versió paper)
2044-5326 (versió electrònica)
Document access: http://hdl.handle.net/10256/8578
Language: eng
Publisher: Materials Research Society
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1557/JMR.2008.0045
Articles publicats (D-F)
Is part of: © Journal of Materials Research, 2008, vol. 23, núm. 2, p. 418-426
Rights: Tots els drets reservats
Subject: Cristal·lització
Crystallization
Microestructura
Microstructure
Dinàmica
Dinamics
Title: Solid phase crystallization under continuous heating: kinetic and microstructure scaling laws
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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