A new approach to multi-phase formulation for the solidification of alloys

• Published in: Physica. D Vol. 241; no. 8; pp. 816 - 829
• Main Authors: Bollada, P.C., Jimack, P.K., Mullis, A.M.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.04.2012
• Subjects: Alloys; Crystal growth; Density; Derivatives; Dynamical systems; Entropy; Eutectic; Free energy; Lagrange multiplier; Mathematical models; Multi-phase; Phase field; Solidification; Crystal growth; Multi-phase; Lagrange multiplier; Eutectic; Phase field; Solidification

This paper demonstrates that the standard approach to the modelling of multi-phase field dynamics for the solidification of alloys has three major defects and offers an alternative approach. The phase field formulation of solidification for alloys with multiple solid phases is formed by relating tim...