Model of Mass Crystallization in Layers of Small Thickness
Journal Title: Фізика і хімія твердого тіла - Year 2014, Vol 15, Issue 4
Abstract
The model of mass crystallization, which allows to take into account the blocking effect of the growing crystals by surfaces of thin layers of melt or rapidly quenched amorphous ribbons is proposed. The kinetic equations describing the contributions to the transformed volume fraction of the crystals which nucleate at considerable distances from the surfaces and maintain the initial spherical shape during whole solidification period, and those formed in the near-surface (critical) areas and undergoing the blocking effect of surfaces which results in the truncated sphere shape are derived. The analysis of the limiting versions of the model is performed. It is shown that using of the developed approach leads to reducing of the calculated values of the crystallized volume fraction up to 25%.
Authors and Affiliations
A. B. Lysenko, O. L. Kosynska, G. V. Borisova, A. A. Kazantseva
Keywords
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