Equilibrium at stationary solid-liquid interface during phase-field modeling of alloy solidification

Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science

Volumn 32, Issue 4, 2001, Pages 961-969

  Kim, Won Tae ^a   Kim, Seong Gyoon ^b   Lee, Jai Sang ^c,d   Suzuki, Toshio ^d  

^a Chongju University   (South Korea)

^b Kunsan National University   (South Korea)

^c POSCO   (South Korea)

^d UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; FREE ENERGY; INTERFACIAL ENERGY; MATHEMATICAL MODELS; PHASE EQUILIBRIA; SOLIDIFICATION;

PHASE-FIELD MODELING; SOLID-LIQUID (SL) INTERFACES;

PHASE INTERFACES;

EID: 0035305850     PISSN: 10735623     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11661-001-0353-x     Document Type: Article

References (22)

1. 1. J.S. Langer 1986 Directions in Condensed Matter World Scientific Singapore 164 164 J.S. Langer: in Directions in Condensed Matter, World Scientific, Singapore, 1986, p. 164.
2. 2. G. Caginalp 1989 Phys. Rev. A39 5887 5887 G. Caginalp: Phys. Rev., 1989, vol. A39, p. 5887.
3. 3. R. Kobayashi 1993 Physica D 63 410 410 10.1016/0167-2789(93)90120-P R. Kobayashi: Physica D, 1993, vol. 63, p. 410.
4. 4. J.B. Collins H. Levine 1985 Phys. Rev. B 31 1669 1669 J.B. Collins and H. Levine: Phys. Rev. B, 1985, vol. 31, p. 1669.
5. 5. G.B. McFadden A.A. Wheeler R.J. Braun S.R. Coriell R.F. Sekerka 1993 Phys. Rev. E 48 2016 2016 10.1103/PhysRevE.48.2016 1:CAS:528:DyaK3sXmsl2ktro%3D G.B. McFadden, A.A. Wheeler, R.J. Braun, S.R. Coriell, and R.F. Sekerka: Phys. Rev. E, 1993, vol. 48, p. 2016.
6. 6. A.A. Wheeler B.T. Murray R.J. Schaefer 1993 Physica D 66 243 243 10.1016/0167-2789(93)90242-S 1:CAS:528:DyaK3sXmtFChsLo%3D A.A. Wheeler, B.T. Murray, and R.J. Schaefer: Physica D, 1993, vol. 66, p. 243.
7. 7. S.-L. Wang R.F. Sekerka 2001 Phys. Rev. E 53 3760 3760 10.1103/PhysRevE.53.3760 S.-L. Wang and R.F. Sekerka: Phys. Rev. E, 1996, vol. 53, p. 3760.
8. 8. O. Penrose P.C. Pife 1990 Physica D 43 44 44 10.1016/0167-2789(90)90015-H O. Penrose and P.C. Pife: Physica D, 1990, vol. 43, p. 44.
9. 9. S.-L. Wang R.F. Sekerka A.A. Wheeler B.T. Murray S.R. Coeriell R.J. Braun G.B. McFadden 1993 Physica D 69 189 189 10.1016/0167-2789(93)90189-8 1:CAS:528:DyaK2cXjtlGgtb8%3D S.-L. Wang, R.F. Sekerka, A.A. Wheeler, B.T. Murray, S.R. Coeriell, R.J. Braun, and G.B. McFadden: Physica D, 1993, vol. 69, p. 189.
10. 10. A.A. Wheeler W.J. Boettinger G.B. McFadden 1992 Phys. Rev. A 45 7424 7424 10.1103/PhysRevA.45.7424 1:CAS:528:DyaK38XktFantLg%3D A.A. Wheeler, W.J. Boettinger, and G.B. McFadden: Phys. Rev. A, 1992, vol. 45, p. 7424.
11. 11. G. Caginalp W. Xie 1993 Phys. Rev. E 48 1897 1897 10.1103/PhysRevE.48.1897 1:CAS:528:DyaK2cXhs1Ogsg%3D%3D G. Caginalp and W. Xie: Phys. Rev. E, 1993, vol. 48, p. 1897.
12. 12. J.A. Warren W.J. Boettinger 1995 Acta Metall. Mater. 43 689 689 10.1016/0956-7151(94)00285-P 1:CAS:528:DyaK2MXjs1WjtLc%3D J.A. Warren and W.J. Boettinger: Acta Metall. Mater., 1995, vol. 43, p. 689.
13. 13. H. Löwen J. Bechoefer L.S. Tuckerman 1992 Phys. Rev. A 45 2399 2399 10.1103/PhysRevA.45.2399 H. Löwen, J. Bechoefer, and L.S. Tuckerman: Phys. Rev. A, 1992, vol. 45, p. 2399.
14. 14. A.A. Wheeler G.B. McFadden J.B. Boettinger 2001 Proc. R. Soc. London A 452 495 495 A.A. Wheeler, G.B. McFadden, and J.B. Boettinger: Proc. R. Soc. London A, 1996, vol. 452, p. 495.
15. 15. A. Karma 1994 Phys. Rev. E 49 2245 2245 10.1103/PhysRevE.49.2245 1:CAS:528:DyaK2cXisFSls74%3D A. Karma: Phys. Rev. E, 1994, vol. 49, p. 2245.
16. 16. I. Steinbach F. Pezzolla B. Nestler M. Seeßelberg R. Prieler G.J. Schmitz J.L.L. Rezenda 2001 Physica D 94 135 135 10.1016/0167-2789(95)00298-7 I. Steinbach, F. Pezzolla, B. Nestler, M. Seeßelberg, R. Prieler, G.J. Schmitz, and J.L.L. Rezenda: Physica D, 1996, vol. 94, p. 135.
17. 17. S.G. Kim, W.T. Kim, and T. Suzuki: Phys. Rev. E, 1998, vol. 58.
18. 18. A.A. Wheeler W.J. Boettinger G.B. McFadden 1993 Phys. Rev. E 47 1893 1893 10.1103/PhysRevE.47.1893 1:CAS:528:DyaK3sXisF2ju7o%3D A.A. Wheeler, W.J. Boettinger, and G.B. McFadden: Phys. Rev. E, 1993, vol. 47, p. 1893.
19. 19. P.W. Voorhees S.R. Coriell G.B. McFadden R.F. Sekerka 1984 J. Cryst. Growth 67 425 425 10.1016/0022-0248(84)90035-6 1:CAS:528:DyaL2cXmtFOjs7c%3D P.W. Voorhees, S.R. Coriell, G.B. McFadden, and R.F. Sekerka: J. Cryst. Growth, 1984, vol. 67, p. 425.
20. 20. A. Karma and W.-J. Rappel: Phys. Rev. E, 1996, vol. 53, p. R3017.
21. 21. J. Tiaden B. Nestler H.J. Diepers I. Steinbach 1998 Physica D 115 73 73 10.1016/S0167-2789(97)00226-1 1:CAS:528:DyaK1cXhsFOhtbY%3D J. Tiaden, B. Nestler, H.J. Diepers, and I. Steinbach: Physica D, 1998, vol. 115, p. 73.
22. 22. S.G. Kim W.T. Kim T. Suzuki 1999 Phys. Rev. E 60 7186 7186 10.1103/PhysRevE.60.7186 1:CAS:528:DyaK1MXotVWkurY%3D S.G. Kim, W.T. Kim, and T. Suzuki: Phys. Rev. E, 1999, vol. 60, p. 7186.