%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 }