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Microstructure development in Kolmogorov, Johnson-Mehl, and Avrami nucleation and growth kinetics

1999; American Physical Society; Volume: 60; Issue: 5 Linguagem: Inglês

10.1103/physrevb.60.3104

1095-3795

Eloi Pineda, Daniel Crespo,

Metallurgy and Material Forming

A statistical model with the ability to evaluate the microstructure developed in nucleation and growth kinetics is built in the framework of the Kolmogorov, Johnson-Mehl, and Avrami theory. A populational approach is used to compute the observed grain-size distribution. The impingement process which delays grain growth is analyzed, and the effective growth rate of each population is estimated considering the previous grain history. The proposed model is integrated for a wide range of nucleation and growth protocols, including constant nucleation, pre-existing nuclei, and intermittent nucleation with interface or diffusion-controlled grain growth. The results are compared with Monte Carlo simulations, giving quantitative agreement even in cases where previous models fail.