Phase-field method (PFM) has become a mainstream computational method for predicting
the evolution of nano and mesoscopic microstructures and properties during materials …

Phase-field method is a density-based computational method at the mesoscale for modeling
and predicting the temporal microstructure and property evolution during materials …

Mesoscale modeling and simulation approaches provide a bridge from atomic-scale
methods to the macroscale. The phase field (PF) method has emerged as a powerful and …

Phase-field simulations have become valuable tools in explorations of the effects of the
processing parameters on the internal structure evolution of materials in a broad range of …

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 …

Phase-field method, as a powerful and popular approach to predict the mesoscale
microstructure evolution in various materials science, provides a bridge from atomic-scale …

Phase-field-based models have become common in material science, mechanics, physics,
biology, chemistry, and engineering for the simulation of microstructure evolution. Yet, they …

The phase-field (PF) method is a physics-based computational approach for simulating
interfacial morphology. It has been used to model powder melting, rapid solidification, and …

We present the first set of benchmark problems for phase field models that are being
developed by the Center for Hierarchical Materials Design (CHiMaD) and the National …

A review surveying the developments in the application of the phase-field method in the
study of phase transitions and microstructure evolution in multi-component systems is …