Phase-Field Simulation of Solidification
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- 1 August 2002
- journal article
- Published by Annual Reviews in Annual Review of Materials Research
- Vol. 32 (1), 163-194
- https://doi.org/10.1146/annurev.matsci.32.101901.155803
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.Keywords
This publication has 55 references indexed in Scilit:
- Theory of anisotropic growth rates in the ordering of an f.c.c. alloyActa Materialia, 1998
- Long-range order parameter in field model of solidificationPhilosophical Magazine A, 1996
- A novel computer simulation technique for modeling grain growthScripta Metallurgica et Materialia, 1995
- Mobility of a diffuse simple crystal—melt interfaceJournal of Crystal Growth, 1991
- Modelling of microstructure formation in solidification processesInternational Materials Reviews, 1989
- On the interaction between order and a moving interface: Dynamical disordering and anisotropic growth ratesThe Journal of Chemical Physics, 1987
- Theory of microstructural development during rapid solidificationActa Metallurgica, 1986
- Dendritic growth into undercooled alloy metalsMaterials Science and Engineering, 1984
- Steady state columnar and equiaxed growth of dendrites and eutecticMaterials Science and Engineering, 1984
- Solute redistribution during solidification with rapid solid state diffusionMetallurgical Transactions A, 1981