▪ Abstract An overview of the phase-field method for modeling 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.
%0 Journal Article
%1 citeulike:2923595
%A Boettinger, W. J.
%A Warren, J. A.
%A Beckermann, C.
%A Karma, A.
%D 2002
%J Annual Review of Materials Research
%K 82b26-phase-transitions
%N 1
%P 163--194
%R 10.1146/annurev.matsci.32.101901.155803
%T Phase-Field Simulation of Solidification
%U http://dx.doi.org/10.1146/annurev.matsci.32.101901.155803
%V 32
%X ▪ Abstract An overview of the phase-field method for modeling 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.
@article{citeulike:2923595,
abstract = {{▪ Abstract An overview of the phase-field method for modeling 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.}},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Boettinger, W. J. and Warren, J. A. and Beckermann, C. and Karma, A.},
biburl = {https://www.bibsonomy.org/bibtex/20c77c95b727147d6ae0f6fea505e7266/gdmcbain},
citeulike-article-id = {2923595},
citeulike-linkout-0 = {http://www.annualreviews.org/doi/abs/10.1146/annurev.matsci.32.101901.155803},
citeulike-linkout-1 = {http://dx.doi.org/10.1146/annurev.matsci.32.101901.155803},
doi = {10.1146/annurev.matsci.32.101901.155803},
interhash = {5126d90717d136433541e361115aff2e},
intrahash = {0c77c95b727147d6ae0f6fea505e7266},
journal = {Annual Review of Materials Research},
keywords = {82b26-phase-transitions},
number = 1,
pages = {163--194},
posted-at = {2014-11-14 05:12:38},
priority = {2},
timestamp = {2017-06-29T07:13:07.000+0200},
title = {{Phase-Field Simulation of Solidification}},
url = {http://dx.doi.org/10.1146/annurev.matsci.32.101901.155803},
volume = 32,
year = 2002
}