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A simple numerical model which calculates the kinetics of crystallizationinvolving randomly distributed nucleation and isotropic growth is presented.The model can be applied to different thermal histories and no restrictions areimposed on the time and the temperature dependencies of the nucleation andgrowth rates. We also develop an algorithm which evaluates the correspondingemerging grain size distribution. The algorithm is easy to implement andparticularly flexible making it possible to simulate several experimentalconditions. Its simplicity and minimal computer requirements allow highaccuracy for two- and three-dimensional growth simulations. The algorithm isapplied to explore the grain morphology development during isothermaltreatments for several nucleation regimes. In particular, thermal nucleation,pre-existing nuclei and the combination of both nucleation mechanisms areanalyzed. For the first two cases, the universal grain size distribution isobtained. The high accuracy of the model is stated from its comparison toanalytical predictions. Finally, the validity of theKolmogorov-Johnson-Mehl-Avrami model is verified for all the cases studied.

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