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 …

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 comprehensive and self-contained, one-stop source discusses phase-field
methodology in a fundamental way, explaining advanced numerical techniques for solving …

Selective laser melting (SLM) can produce outstanding mechanical properties in 316L
stainless steel. Nonetheless, the technique can lead to considerable variation in quality. This …

In this paper the relationship between the classical density functional theory of freezing and
phase-field modeling is examined. More specifically a connection is made between the …

A computationally efficient quantitative virtual front tracking model for the two-dimensional
simulation of dendritic growth in the low Péclet number regime is developed. The kinetics of …

A phase-field model of alloy solidification is coupled to a new heat transfer finite element
model of the laser powder deposition process. The robustness and accuracy of the coupled …

An antitrapping current scheme for quantitative phase-field model [A. Karma, Phys. Rev. Lett.
87, 115701 (2001)] is extended to solidification process in a dilute binary alloy system …

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 …

The development of accurate and efficient computational tools for phase transformation is a
prerequisite in order to predict the microstructure evolution during phase transformation in …