An Introduction to the Phase-Field Method: Simulation of Alloy Solidification

Published

July 1, 2001

Author(s)

William J. Boettinger, James A. Warren, C Beckermann, A N. Karma

Abstract

An overview of the phase-field method for modeling alloy solidification is presented together with several example results. Using a phase-field variable and a corresponding governing equation to describe the state (solid or liquid) in a material as a function of position and time, the diffusion equations for heat and solute can be solved without tracking the liquid-solid interface. The interfacial regions between liquid and solid involve smooth, but highly localized variations of the phase-field variable. The method has been applied to a wide variety of problems including dendritic growth in pure materials, dendritic, eutectic and peritectic growth in alloys and solute trapping during rapid solidification.

Proceedings Title

Solidification and Materials Processing, Symposium ||Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing| TMS

Volume

32

Conference Dates

June 28-30, 2000

Conference Title

Minerals, Metals, and Materials Society

Pub Type

Conferences

Keywords

alloys, Dendritic solidification modelling, diffusion

Citation

Boettinger, W. , Warren, J. , Beckermann, C. and Karma, A. (2001), An Introduction to the Phase-Field Method: Simulation of Alloy Solidification, Solidification and Materials Processing, Symposium ||Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing| TMS (Accessed October 27, 2025)