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 …

This is the first account of the history of our understanding of, and ability to model,
solidification microstructures. Its objective is to retrace the scientific steps made, from the …

Our aim is to propose a theory which goes beyond the classical formulation of
thermodynamics. This is achieved by enlarging the space of basic independent variables …

We present a phase-field model (PFM) for solidification in binary alloys, which is found from
the phase-field model for a pure material by direct comparison of the variables for a pure …

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 …

This study focuses on the development of a design methodology for alloys in AM, using a
newly developed Al-Ce alloy as an initial case study. To evaluate the candidacy of this …

Here, we review the basic concepts and applications of the phase-field-crystal (PFC)
method, which is one of the latest simulation methodologies in materials science for …

Most wrought aluminium alloys of the 2000 series are difficult to manufacture by laser
powder bed fusion (L-PBF) due to the formation of cracks during building. To date, the …

The status of solidification science is critically evaluated and future directions of research in
this technologically important area are proposed. The most important advances in …

The non-equilibrium state of an undercooled melt allows the investigation of various
phenomena involved in the formation of metastable solid phase. The present work reviews …