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

The key to predict material properties is the state of microstructure. Because microstructural
evolution is a typical nonlinear, nonlocal, and multiparticle dynamic problem, computer …

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 …

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 modeling methods have advanced to the point where many metallurgical
reactions and phenomena can be simulated, including solidification, segregation …

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 modelling is maturing to become a universal tool for modelling microstructure
evolution in materials science. In solidification applications it has been proven to give …

Nano-and meso-scale phase-field methods (PFM) have increasingly been used in a wide
range of metallic materials, in addition to both inorganic and organic non-metallic materials …

The ability to predict the microstructures of a multiphase solid is critical to manipulating their
physical properties. One of the main challenges is the fact most of the multiphase solids …