We study the numerical solution of a Cahn-Hilliard/Allen-Cahn system with strong coupling
through state and gradient dependent non-diagonal mobility matrices. A fully discrete …

The dendritic growth of pure materials in undercooled melts is critical to understanding the
fundamentals of solidification. This work investigates two new insights, the first is an …

A system of phase-field equations with strong-coupling through state and gradient
dependent non-diagonal mobility matrices is studied. Existence of weak solutions is …

We present an approach to alloy solidification modelling that incorporates binary interface
energies in a manner that correctly reproduces the associated theoretical angles at triple …

In the present work, a modified anisotropic coefficient of interfacial energy is used to
simulate the anisotropic facet crystal growth along non-orthogonal directions by phase-field …

Laser quenching has significant advantages over conventional heat treatment. The main
microstructure of C30E4 steel after quenching at a specific temperature is Martensite …

We give an overview of contributions made to the computational phase-field modelling of
alloy solidification from the University of Leeds as part of the LiME project (EPSRC …

Accurate acquisition of the microscopic representation of the martensite transformation
process is the key to obtaining the best performance of the material, it is of great significance …

We have presented current ideas towards developing a phase-field model appropriate to the
solidification of intermetallic phases. Such simulation presents two main challenges (1) …