Non-monotone temperature boundary conditions in dendritic growth

Modeling of Casting, Welding and Advanced Solidification Processes - XI

Volumn 1, Issue , 2006, Pages 521-528

  Glicksman, Martin E ^a   Lowengrub, John S ^b   Li, Shuwang ^b  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Dendrites; Fundamentals; Side branching; Solidification

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; CAPILLARITY; INTERFACES (MATERIALS); INTERFACIAL ENERGY; SOLIDIFICATION; THERMAL EFFECTS;

DENDRITES; SIDE BRANCHING; SOLID MELT INTERFACES; TEMPERATURE GRADIENT;

CRYSTAL GROWTH;

EID: 33845233655     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. G.P. Ivantsov, Dokl. Akad. Nauk. USSR, 558,(1947) 567.
2. M.E. Glicksman, R.J. Schaefer, and J.D. Ayers, Metall. Trans. A, 7,(1976) 1747.
3. G.E Nash and M.E. Glicksman, Acta Metall. 22 (1974) 1283.
4. G.E. Nash and M.E. Glicksman, Acta Metall. 22 (1974) 1291.
5. W. Oldfield, Mater. Sci. Eng. 11 (1973) 211.
6. R.D. Doherty, B. Cantor, S. Fairs, Metall. Trans. A 9 (1978) 621.
7. M.E. Glicksman, S.P. Marsh, "The Dendrite" Handbook of Crystal Growth. Ed. D. Hurle, Elsevier Science Publishers, Amsterdam, (1993) 1075-1122.
8. M.E. Glicksman and A.O. Lupulescu,"Dendritic Crystal Growth in Pure Material", J. Crystal Growth, 264, 4, (2004) 541-549.
9. J.S. Langer and H. Müller-Krumbhaar, J. Crystal Growth, 42, (1977) 11.
10. D. Kessler and H. Levine, Phys. Rev. A, 36, (1987) 4123-4126.
11. D. Kessler and H. Levine, Phys. Rev. B 33 (1986) 7867.
12. D. Kessler and H. Levine, Phys. Rev. Lett. 57 (1986) 3069.
13. D. Kessler and H. Levine, Acta Metall. 36 (1987) 2693.
14. A. Barbieri and J.S. Langer, Phys. Rev. A, 39, (1989) 5314.
15. W.W. Mullins and R.F. Sekerka. J. Appl. Phys. 34 (1963) 323.
16. M.E. Glicksman, M.B. Koss, and E.A. Winsa, Phys. Rev. Lettrs., 73, No. 4 (1994) 573.
17. J.C. LaCombe, M.B. Koss, V.E. Fradkov, M.E. Glicksman, Physical Review, E, 52, No. 3, (1995) 2778.
18. T.Y. Hou, J.S. Lowengrub and M.J. Shelley, J. Comput. Phys., 114, (1994) 312.
19. S. Li, J.S. Lowengrub, P.H. Leo, and V. Cristini, J. Crystal Growth, 277, (2005) 578.
20. S. Li, J.S. Lowengrub, and P.H. Leo, Physica D, 208, (2005) 209.
21. G.F. McFadden and S.R. Coriell, Private communication, 2005.