Numerical model of solid phase transformations governed by nucleation and growth: microstructure development during isothermal crystallization

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dc.contributor.author Farjas Silva, Jordi
dc.contributor.author Roura Grabulosa, Pere
dc.date.issued 2007
dc.identifier.citation Farjas, J., i Roura, P. (2007). Numerical model of solid phase transformations governed by nucleation and growth: microstructure development during isothermal crystallization. Physical Review B, 75, 184112. Recuperat 3 abril 2011, a http://prb.aps.org/pdf/PRB/v75/i18/e184112
dc.identifier.issn 1098-0121
dc.identifier.uri http://hdl.handle.net/10256/3376
dc.description.abstract A simple numerical model which calculates the kinetics of crystallization involving randomly distributed nucleation and isotropic growth is presented. The model can be applied to different thermal histories and no restrictions are imposed on the time and the temperature dependences of the nucleation and growth rates. We also develop an algorithm which evaluates the corresponding emerging grain-size distribution. The algorithm is easy to implement and particularly flexible, making it possible to simulate several experimental conditions. Its simplicity and minimal computer requirements allow high accuracy for two- and three-dimensional growth simulations. The algorithm is applied to explore the grain morphology development during isothermal treatments for several nucleation regimes. In particular, thermal nucleation, preexisting nuclei, and the combination of both nucleation mechanisms are analyzed. For the first two cases, the universal grain-size distribution is obtained. The high accuracy of the model is stated from its comparison to analytical predictions. Finally, the validity of the Kolmogorov-Johnson-Mehl-Avrami model SSSR, is verified for all the cases studied
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Physical Society
dc.relation.ispartof © Physical Review B, 2007, vol. 75, p. 184112
dc.relation.ispartofseries Articles publicats (D-F)
dc.rights Tots els drets reservats
dc.subject Cristal·lització
dc.subject Crystallization
dc.subject Models matemàtics
dc.subject Mathematical models
dc.title Numerical model of solid phase transformations governed by nucleation and growth: microstructure development during isothermal crystallization
dc.type info:eu-repo/semantics/article


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