Phase-field modeling of eutectic growth

François Drolet, K. R. Elder, Martin Grant, J. M. Kosterlitz
2000 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
A phase-field model of eutectic growth is proposed in terms of a free energy F, which is a functional of a liquid-solid order parameter , and a conserved concentration field c. The model is shown to recover the important features of a eutectic phase diagram and to reduce to the standard sharp-interface formulation of nonequilibrium growth. It is successfully applied to the study of directional solidification when the solid phase is a single or two phase state. The crystallization of a eutectic
more » ... tion of a eutectic compound under isothermal conditions is also considered. For that process, the transformed volume fraction and -field structure factor, both measured during numerical simulations, closely match theoretical predictions. Three possible growth mechanisms are also identified: diffusion-limited growth, lamellar growth, and spinodal decomposition.
doi:10.1103/physreve.61.6705 pmid:11088365 fatcat:cuf2yh7z3zbtxopmg2udbd6x7u