The phase field method is based on the thermodynamics, mechanism and kinetic of the precipitation reactions in alloys. This method can be used to simulate numerically the microstructural evolution in an alloy system, and constitutes a powerful tool to predict the phase transformations. The phase field method solves the nonlinear Cahn-Hilliard partial differential equation and offers computational advantages. The effect of the parameters into this equation on the morphology and kinetics of the phase separation in binary A-B and ternary A-B-C hypothetical alloy systems with a miscibility gap was analyzed. The results showed that the atomic mobility modifies the phase separation kinetics. In contrast, elastic-strain energy is an important parameter that affects the morphology of phases causing changes from spheres to cuboids or plates with preferential crystallographic alignment.
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Avila-Dávila, E. O., Lezama-Álvarez, S., Saucedo-Muñóz, M. L., López-Hirata, V. M., González-Velázquez, J. L., & Pérez-Labra, M. (2012). Simulación numérica de la descomposición espinodal en sistemas de aleación hipotéticos A-B y A-B-C. Revista de Metalurgia, 48(3), 223–236. https://doi.org/10.3989/revmetalm.1168