This is the first account of the history of modelling dendritic and cellular solidification. While
Part I reviewed the progress up to the year 2000 [Kurz W, Fisher DJ, Trivedi R. Progress in …

We summarize recent advances in modeling of solidification microstructures using
computational methods that bridge atomistic to continuum scales. We first discuss progress …

Thermal and solute diffusion plays an important role in α-Mg dendrite growth, the diffusion
mechanism of which is still unclear. Here, thermal and solute diffusion in α-Mg dendrite …

The primary spacing is intrinsically linked with the mechanical behavior of directionally
solidified materials. Because of this relationship, a significant amount of solidification work is …

The effects of Mg back-diffusion on liquid channel segregation and morphology, and hence
on the solidification cracking susceptibility (SCS) of Al-4.0 wt% Mg alloy, were investigated …

Phase field (PF) models are one of the most popular methods for simulating solidification
microstructures due to their fundamental connections to the physics of phase …

Cellular or dendritic microstructures that result as a function of additive manufacturing
solidification conditions in a Ni-based melt pool are simulated in the present work using …

We present a multiphase binary alloy phase-field-crystal model. By introducing density
difference between solid and liquid into a previous alloy model, this new fusion leads to a …

We study late-stage solidification and the associated formation of defects in alloy materials
using a novel model based on the phase-field-crystal technique. It is shown that our model …

The dendritic structure is one of the most complex forms of crystallisation in nature and
technology. In constrained crystal growth conditions, under uniform stress, packing and …