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 …

Under a pure tensile loading, cracks in brittle, isotropic, and homogeneous materials often
propagate such that pure mode I kinematics are maintained at the crack tip. However …

An anisotropic multi phase-field model is developed in this paper to investigate the
interaction between the crack propagation and interfacial damage in a fiber-reinforced …

A new multi-phase-field method is developed for modeling the fracture of polycrystals at the
microstructural level. Inter and transgranular cracking, as well as anisotropic effects of both …

Fracture of composites consisting of isotropic matrix and anisotropic fibers is an essential
problem in many engineering applications. The computational simulation of such a fracture …

Phase-Field (PF) methods of fracture have emerged as powerful modeling tools for
triggering fracture events in solids. These numerical techniques efficiently alleviate mesh …

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 …

Due to its ability to simulate complex microstructure evolution, the phase-field modeling has
been extensively developed to investigate brittle fracture in recent years. However, low …