Phase-field models in materials science; a tutorial review
Modelling and Simulation in Materials Science and Engineering, 17, 073001-31, (2009)
The phase-field method is reviewed against its historical and theoretical background. Starting from Van der Vaals considerations on the structure of interfaces in materials the concept of the phase-field method is developed along the historical lines. Basic relations are summarized in a comprehensive way. The multi-phase-field method for transformations in multi-grain multi-phase structures in multicomponent materials is outlined with extension to elastic interactions and fluid flow. Examples are collected demonstrating the applicability of the method in different fields of materials science.
Keyword(s): phase-field models; material science