Numerical model of solid phase transformations governed by nucleation and growth. Microstructure development during isothermal crystallization

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 dependencies 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, pre-existing 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 is verified for all the cases studied.

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Cited by in corpus (12)

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• Nucleation and growth of micellar polycrystals under time-dependent volume fraction conditions
• Spatial distribution of nuclei in progressive nucleation: modeling and application
• Comparison of simulated and measured grain volume changes during grain growth
• Impact of grain boundary energy anisotropy on grain growth
• Formation and morphology of closed and porous films grown from grains seeded on substrates: Two-dimensional simulations
• Solid phase crystallization under continuous heating: kinetic and microstructure scaling laws
• Kinetics of phase transformations with heterogeneous correlated-nucleation
• Fokker-Planck equation for the particle size distribution function in KJMA transformations
• Kinetics of heterogeneous nucleation and growth: An approach based on a grain explicit model
• Nonequilibrium grain size distribution with generalized growth and nucleation rates