Phase-field modelling of nonequilibrium partitioning during rapid solidification in a non-dilute binary alloy

Discrete and Continuous Dynamical Systems

Volumn 15, Issue 4, 2006, Pages 1035-1047

  Danilov, Denis ^a   Nestler, Britta ^a  

^a KARLSRUHE UNIVERSITY OF APPLIED SCIENCES   (Germany)

Author keywords

Alloys; Diffusion; Phase field model; Solidification; Solute trapping

Indexed keywords

EID: 33745291289     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2006.15.1035     Document Type: Conference Paper

References (19)

1. M. J. Aziz, T. Kaplan, Continuous growth model for interface motion during alloy solidification, Acta Metall. 36 (8) (1988), 2335-2347.
2. J. A. Kittl, M. J. Aziz, D. P. Brunco, M. O. Thompson, Nonequilibrium partition during rapid solidification of Si-As alloys, J. Cryst. Growth 148 (1995), 172-182.
3. W. J. Boettinger, J. A. Warren, C. Beckermann, A. Karma, Phase-field simulation of solidification, Annu. Rev. Mater. Res. 32 (2002), 163-194.
4. Z. Bi, R. F. Sekerka, Phase-field model of solidification of a binary alloy, Physica A 261 (1998), 95-106.
5. C. Charach, P. C. Fife, On thermodynamically consistent schemes for phase field equations, Open Systems and Information Dynamics 5 (2) (1998), 99-123.
6. H. Garcke, B. Nestler, B. Stinner, A diffuse interface model for alloys with multiple components and phases, SIAM J. Appl. Math. 64 (3) (2004), 775-799.
7. G. Caginalp, W. Xie, Phase-field and sharp-interface alloy models, Phys. Rev. E 48 (3) (1993), 1897-1909.
8. K. R. Elder, M. Grant, N. Provatas, J. M. Kosterlitz, Sharp interface limits of phase-field models, Phys. Rev. E 64 (2001), 021604.
9. D. Kessler, Sharp interface limits of a thermodynamically consistent solutal phase field model, J. Cryst. Growth 224 (2001), 175-186.
10. A. A. Wheeler, W. J. Boettinger, G. B. McFadden, Phase-field model of solute trapping during solidification, Phys. Rev. E 47 (3) (1993), 1893-1909.
11. N. A. Ahmad, A. A. Wheeler, W. J. Boettinger, G. B. McFadden, Solute trapping and solute drag in a phase-field model of rapid solidification, Phys. Rev. E 58 (3) (1998), 3436-3450.
12. K. Glasner, Solute trapping and non-equilibrium phase diagram for solidification of binary alloys, Physica D 151 (2001), 253-270.
13. M. J. Aziz, J. Y. Tsao, M. O. Thompson, P. S. Peercy, C. W. White, Solute Trapping: Comparison of Theory with Experiment, Phys. Rev. Lett. 56 (23) (1986), 2489-2492.
14. D. E. Hoglund, M. J. Aziz, S. R. Stiffler, M. O. Thompson, J. Y. Tsao, P. S. Peercy, J. Crystal Growth 100 (1991), 107.
15. Kirk M. Beatty, Kenneth A. Jakson, Monte Carlo modeling of dropant segregation, J. Cryst. Growth 371 (2004) 495-512.
16. Franck Celestini, Jean-Marc Debierre, Nonequilibrium molecular dynamics simulation of rapid directional solidification, Phys. Rev. B 62(21) (2000), 14006-14011.
17. Peter Galenko, Sergei Sobolev, Local noneauilibrium effect on undercooling on rapid solidification of alloys, Phys. Rev E 58(1) (1997), 343-352.
18. C. M. Elliott, H. Garcke, Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix, Physica D 108 (3-4) (1997), 242-256.
19. J. J. Hoyt, B. Sadigh, M. Asta, S. M. Foiles, Kinetic phase-field parameters for the Cu-Ni system derived from atomistic computations, Acta mater. 47 (11) (1999), 3181-3187.