  We briefly review the state-of-the-art in phase-field modeling of
microstructure evolution. The focus is placed on recent applications of
phase-field simulations of solid-state microstructure evolution and
solidification that have been compared and/or validated with experiments. They
show the potential of phase-field modeling to make quantitative predictions of
the link between processing and microstructure. Finally, some current
challenges in extending the application of phase-field models within the
context of integrated computational materials engineering are mentioned.
