Three-dimensional Phase-field Simulation of Free Dendrite Growth of Iron

The free dendrite growth of iron has been investigated using a three-dimensional phase-field model with thin-interface-limit parameters. The stability parameters are determined for different values of anisotropy intensity of interface energy, and the obtained values are in good agreement with previously reported values. The dendrite growth velocities of iron at different degrees of undercooling are compared with experimental data, and a good agreement between phase-field simulations and experiments are obtained when the kinetic coefficient is assumed to be 20. The validity of the analytical dendrite model by Lipton, Kurz and Trivedi (LKT model) is also examined, and it is shown that the model gives accurate predictions when suitable parameter values are adopted.

[1]  Toshio Suzuki,et al.  Recent advances in the phase-field model for solidification , 2001 .

[2]  Toshio Suzuki,et al.  Dendrite growth from the supercooled melt , 1977 .

[3]  Long-Qing Chen.  Phase-Field Models for Microstructure Evolution , 2002 .

[4]  R. Trivedi.  Growth of dendritic needles from a supercooled melt , 1970 .

[5]  Martin E. Glicksman,et al.  Overview 12: Fundamentals of dendritic solidification—I. Steady-state tip growth , 1981 .

[6]  M. Rappaz,et al.  A Pseudo-Front Tracking Technique for the Modelling of Solidification Microstructures in Multi-Component Alloys , 2002 .

[7]  M. Ode,et al.  Phase–field model for solidification of Fe–C alloys , 2000 .

[8]  Toshio Suzuki,et al.  Phase-field model for binary alloys. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  A. Karma,et al.  Quantitative phase-field modeling of dendritic growth in two and three dimensions , 1996 .

[10]  G. Caginalp,et al.  Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations. , 1989, Physical review. A, General physics.

[11]  G. Goldbeck-Wood,et al.  Numerical simulation of dendritic growth. , 1988, Physical review. A, General physics.

[12]  R. Trivedi,et al.  Solidification microstructures: recent developments, future directions , 2000 .

[13]  H. Müller-Krumbhaar,et al.  THEORY OF DENDRITIC GROWTH—I. ELEMENTS OF A STABILITY ANALYSIS , 1978 .

[14]  R. Kobayashi.  Modeling and numerical simulations of dendritic crystal growth , 1993 .

[15]  Phase-field model with a reduced interface diffuseness , 2002, cond-mat/0207342.

[16]  Wilfried Kurz,et al.  Rapid dendrite growth in undercooled alloys , 1987 .

[17]  Barbieri,et al.  Predictions of dendritic growth rates in the linearized solvability theory. , 1989, Physical review. A, General physics.

[18]  Dantzig,et al.  Computation of dendritic microstructures using a level set method , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.