▪ Abstract The phase-field method has recently emerged as a powerful computational
approach to modeling and predicting mesoscale morphological and microstructure evolution …

The phase-field method is reviewed against its historical and theoretical background.
Starting from Van der Waals considerations on the structure of interfaces in materials the …

Rapid advances in atomistic and phase-field modeling techniques as well as new
experiments have led to major progress in solidification science during the first years of this …

The phase-field method has recently emerged as the most powerful computational tool for
simulating complicated dendrite growth. However, these simulations are still limited to two …

Many inhomogeneous systems involve domains of well-de? ned phases se-rated by a
distinct interface. If they are driven out of equilibrium one phase will grow at the cost of the …

This paper reviews methods and applications of the phase field technique, one of the fastest
growing areas in computational materials science. The phase field method is used as a …

Phase-field modelling is still a young discipline in condensed-matter physics, which
established itself for the class of systems that can be characterised by domains of different …

Various melting-related phenomena (like surface melting, size dependence of melting
temperature, melting of few nm-size particles and overheating at a very fast heating rate) are …

Lithium insertion and removal in lithium ion battery electrodes can result in diffusion induced
stresses (DISs) which may cause fracture and decrepitation of electrodes. Many lithium ion …

A thermodynamically-consistent phase field approach for crack propagation which includes
the following novel features is presented.(1) Scale dependency was included by relating the …