PMID: 11308654Apr 20, 2001Paper

Phase-field modeling of microstructural pattern formation during directional solidification of peritectic alloys without morphological instability

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
T S LoM Plapp

Abstract

During the directional solidification of peritectic alloys, two stable solid phases (parent and peritectic) grow competitively into a metastable liquid phase of larger impurity content than either solid phase. When the parent or both solid phases are morphologically unstable, i.e., for a small temperature gradient/growth rate ratio (G/v(p)), one solid phase usually outgrows and covers the other phase, leading to a cellular-dendritic array structure closely analogous to the one formed during monophase solidification of a dilute binary alloy. In contrast, when G/v(p) is large enough for both phases to be morphologically stable, the formation of the microstructure becomes controlled by a subtle interplay between the nucleation and growth of the two solid phases. The structures that have been observed in this regime (in small samples where convection effects are suppressed) include alternate layers (bands) of the parent and peritectic phases perpendicular to the growth direction, which are formed by alternate nucleation and lateral spreading of one phase onto the other as proposed in a recent model [R. Trivedi, Metall. Mater. Trans. A 26, 1 (1995)], as well as partially filled bands (islands), where the peritectic phase does not fu...Continue Reading

References

May 15, 1992·Physical Review. a·A A WheelerG B McFadden
Apr 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J A Warren, J S Langer
Mar 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A Karma
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Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·X TongA Karma

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Citations

May 15, 2002·Physical Review Letters·László GránásyTamás Pusztai
Jul 7, 2007·Physical Chemistry Chemical Physics : PCCP·G TegzeB Kvamme
Nov 18, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·H Emmerich
Jun 13, 2002·Physical Review Letters·P Mazumder, R Trivedi
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Folch, M Plapp
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mathis Plapp, Alain Karma
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N WangA Karma

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