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

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 …

Twin, dislocation, and grain boundary interaction in hexagonal materials, such as Mg, Ti,
and Zr, has critical influence on the materials' mechanical properties. The development of a …

Phase-field crack approximation relies on the proper definition of the crack driving strain
energy density to govern the crack evolution and a realistic model for the modified stresses …

A phase field theory for modeling deformation and fracture of single crystals, polycrystals,
and grain boundaries is developed. Anisotropies of elastic coefficients and fracture surface …

Typical hexagonal engineering materials, such as magnesium and titanium, deform
extensively through shear strains and crystallographic re-orientations associated with the …

Review of selected fundamental topics on the interaction between phase transformations,
fracture, and other structural changes in inelastic materials is presented. It mostly focuses on …

A phase-field theory of transformations between martensitic variants and multiple twinning
within martensitic variants is developed for large strains and lattice rotations. It resolves …

Using a combination of mechanical testing, scanning electron microscopy, and a unified
crystal plasticity framework for discrete intragranular shear localization, we investigate …

This paper presents the application of a fast Fourier transform (FFT) based method to solve
two phase field models designed to simulate crack growth of strongly anisotropic materials …