Analytic solution for a non-axisymmetric isothermal dendrite

Journal of Crystal Growth

Volumn 208, Issue 1, 2000, Pages 726-745

  McFadden, G B ^a   Coriell, S R ^a   Sekerka, R F ^b  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INTERFACES (MATERIALS); MATHEMATICAL MODELS; MICROGRAVITY PROCESSING; SUPERCOOLING;

DENDRITIC GROWTH;

CRYSTAL GROWTH FROM MELT;

EID: 0033908721     PISSN: 00220248     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0248(99)00478-9     Document Type: Article

References (25)

1. Glicksman M.E., Marsh S.P. Hurle D.T.J. Handbook of Crystal Growth, 1 Fundamentals, Part B. Transport and Stability:1993;1075 North-Holland, Amsterdam.
2. Glicksman M.E., Koss M.B., Bushnell L.T., LaCombe J.C., Winsa E.A. ISIJ Int. 35:1995;604.
3. LaCombe J.C., Koss M.B., Fradkov V.E., Glicksman M.E. Phys. Rev. E. 52:1995;2778.
4. Koss M.B., Bushnell L.T., LaCombe J.C., Glicksman M.E. Chem. Eng. Commun. 152/153:1996;351.
5. Bisang U., Bilgram J.H. Phys. Rev. E. 54:1996;5309.
6. Ivantsov G.P. Dokl. Akad. Nauk SSSR. 58:1947;567.
7. Langer J.S. Rev. Mod. Phys. 52:1980;1.
8. Langer J.S. Le hesard et la matière/Chance and Matter, Les Houches, Session XLVI, Course 10. 1987;629 North-Holland, Amsterdam.
9. Kessler D.A., Levine H. Phys. Rev. A. 36:1987;4123.
10. Kessler D.A., Koplik J., Levine H. Adv. Phys. 37:1980;255.
11. Kessler D.A., Levine H. Acta Metall. 36:1988;2693.
12. Brener E.A., Mel'nikov V.I. Adv. Phys. 40:1991;53.
13. Ben Amar M., Brener E. Phys. Rev. Lett. 71:1993;589.
14. Brener E. Phys. Rev. Lett. 71:1993;3653.
15. Brener E., Mel'nikov V.I. JETP. 80:1995;341.
16. Schaefer R.J. J. Crystal Growth. 43:1978;17.
17. J.C. LaCombe, Ph.D. Thesis, Department of Materials Science and Engineering, Rensselaer Polytechnic Institute, Troy, NY, December 1998.
18. Horvay G., Cahn J.W. Acta Metal. 9:1961;695.
19. Chan S.-K., Reimer H.-H., Kahlweit M. J. Crystal Growth. 32:1976;303.
20. Henry M.F., Yoo Y.S., Yoon D.Y., Choi J. Metall. Trans. 24 A:1993;1733.
21. Magnus W., Oberhettinger F. Formulas and Theorems for the Functions of Mathematical Physics. 1949;Chelsea, New York.
22. Abramowitz M., Stegun I.A. Handbook of Mathematical Functions. Applied Mathematics Series. Vol. 55:1964;National Bureau of Standards, Washington, DC.
23. Mauer J., Perrin B., Tabeling P. Europhys. Lett. 14:1991;575.
24. Karma A., Rappel W.-J. Phys. Rev. E. 57:1998;4342.
25. Schaefer R.J., Glicksman M.E., Ayers J.D. Phil. Mag. 32:1975;725.