Phase-field models in materials science

The phase-field method is reviewed against its historical and theoretical background. Starting from Van der Waals considerations on the structure of interfaces in materials the concept of the phase-field method is developed along historical lines. Basic relations are summarized in a comprehensive way. Special emphasis is given to the multi-phase-field method with extension to elastic interactions and fluid flow which allows one to treat multi-grain multi-phase structures in multicomponent materials. Examples are collected demonstrating the applicability of the different variants of the phase-field method in different fields of materials science.

# Solidification and crystal growth phenomena # Materials Science # Metallurgical Processes and Thermodynamics # Advanced Numerical Methods in Computational Mathematics # Engineering

Ingo Steinbach (2009). "Phase-field models in materials science". Modelling and Simulation in Materials Science and Engineering. https://doi.org/10.1088/0965-0393/17/7/073001