Modeling of macrosegregation and solidification grain structures with a coupled cellular automaton - Finite element model

ISIJ International

Volumn 46, Issue 6, 2006, Pages 880-895

  Guillemot, Gildas ^a,b,c   Gandin, Charles André ^a,b   Combeau, Hervé ^b  

^a PSL RESEARCH UNIVERSITY   (France)

^b CNRS   (France)

^c ARTS ET MÉTIERS PARISTECH   (France)

Author keywords

Grain structure; Macrosegregation; Modeling; Solidification

Indexed keywords

COOLING; FINITE ELEMENT METHOD; GRAIN SIZE AND SHAPE; METAL REFINERIES; NUCLEATION; SOLIDIFICATION;

CELLULAR AUTOMATON (CA); MACROSEGREGATION; MODELING; UNDERCOOLED LIQUID;

CRYSTAL MICROSTRUCTURE;

EID: 33747085927     PISSN: 09151559     EISSN: None     Source Type: Journal    
DOI: 10.2355/isijinternational.46.880     Document Type: Review

References (49)

1. M. C. Flemings and G. E. Nereo: Trans. Met. Soc. AIME, 239 (1967), 1449.
2. C. Beckermann: Int. Mater. Rev., 47 (2002), 243.
3. C. Y. Wang and C. Beckerman: Metall. Mater. Trans A., 27A (1996), 2754.
4. Ch.-A. Gandin and M. Rappaz: Acta Metall, 42 (1994), 2233.
5. S. Y. Lee, S. M. Lee and C. P. Hong: ISIJ Int., 40 (2000), 48.
6. N. Ahmad, H. Combeau, J.-L. Desbiolles, T. Jalanti, G. Lesoult, J. Rappaz, M. Rappaz and C. Stomp: Metall. Mater. Trans. A, 29A (1998), 617.
7. G. Guillemot: Ph. D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, (2004).
8. M. Bellet, V. D. Fachinotti, S. Gouttebroze, W. Liu and H. Combeau: Solidification Processes and Microstructures: A Symposium in Honor of Prof. W. Kurz, ed. by M. Rappaz, C. Beckermann, R. Trivedi, TMS, Warrendale, PA, USA, (2004), 15.
9. W. Liu: Ph. D. Thesis, Ecole Nationale Supérieure des Mines de Paris, Paris, France, (2005).
10. D. J. Hebditch and J. D. Hunt: Metall. Trans., 5 (1974), 1557.
11. D. J. Hebditch: Ph. D. Thesis, University of Oxford, UK, (1973).
12. M. M'Hamdi, H. Combeau and G. Lesoult: Int. J. Numer. Meth. Heat Fluid Flow, 9 (1999), 296.
13. C. Prakash and V. Voller: Numer. Heat Transfer, 15B (1989), 171.
14. Ch.-A. Gandin, R. J. Schaefer and M. Rappaz: Acta Mater., 44 (1996), 3339.
15. Ch.-A. Gandin and M. Rappaz: Acta Mater., 45 (1997), 2187.
16. H. Takatani, Ch.-A. Gandin and M. Rappaz: Acta Mater., 48 (2000), 675.
17. Ch.-A. Gandin, G. Guillemot, B. Appolaire and N. T. Niane: Mater. Sci. Eng. A, A342 (2003), 44.
18. M. Rappaz: Int. Mater. Rev., 34 (1989), 93.
19. Ch.-A. Gandin, J.-L. Desbiolles, M. Rappaz and Ph. Thévoz: Metall. Mater. Trans. A, 30A (1999), 3153.
20. W. Kurz and D. J. Fisher: Fundamentals of Solidification, 3rd ed., Trans Tech Publications, Switzerland, (1992).
21. W. Kurz, B. Giovanola and R. Trivedi: Acta Metall., 34 (1986), 823.
22. J. S. Langer and H. Muller-Krumbhaar: J. Cryst. Growth, 42 (1977), 11.
23. W. W. Mullins and R. F. Sekerka: J. Appl. Phys., 35 (1964), 444.
24. Handbook of Mathematical Functions, Tenth printing, ed. by M. Abramowitz and I. A. Stegun, Dover, USA, (1972).
25. D. R. Poirier and G. H. Geiger: Transport Phenomena in Materials Processing, TMS, Warrendale, PA, USA, (1994).
26. R. Ananth and W. N. Gill: J. Cryst. Growth, 108 (1991), 173.
27. G. P. Ivantsov: Dokl. Akad. Nauk SSSR, 58 (1947), 567.
28. C. Stomp, H. Combeau and B. Appolaire: Solidification and Gravity 2000, Materials Science Forum, 329-330 (2000), 127.
29. S. Ahuja: Ph. D. Thesis, Master of Science Degree in Mechanical Engineering, Iowa University, USA, (1992).
30. S. Ahuja, C. Beckermann, R. Zakhem, P. D. Weidman and H. C. de Groh III: Micro/Macro Scale Phenomena in Solidification, ASME, USA, (1992). HTD-218, AMD-139 85.
31. A. Haider and O. Levenspiel: Powder Technol., 58 (1989), 63.
32. H. C. de Groh, III, P. D. Weidman, R. Zakhem, S. Ahuja and C. Beckermann: Metall. Trans B., 24B (1993), 749.
33. G. Neale, N. Epstein and W. Nader: Chem. Eng. Sci., 28 (1973), 1865.
34. P. C. Carman: Flow of Gases through Porous Media, Butterworth Scientific, London, UK, (1956).
35. T. Jalanti: Ph. D. Thesis, Ecole Polytechnique Fédérale de Lausanne, Switzerland, (2000).
36. C. Y. Wang and C. Beckermann: Metall. Trans. A, 24A (1993), 2787.
37. G. Guillemot, Ch.-A. Gandin, H. Combeau and R. Heringer: Simul. Mater. Sci. Eng., 12 (2004), 545.
38. C. Y. Wang, A. Ahuja, C. Beckermann and H. C. de Groh, III: Metall. Mater. Trans., 26B (1995), 111.
39. S. W. Churchill and R. Usagi: AIChE J., 18 (1972), 1121.
40. J. Happel: AIChE J., 13(1958), 122.
41. J.-L. Desbiolles, Ph. Thévoz and M. Rappaz: Modeling of Casting, Welding and Advanced Solidification Processes X, TMS, Warrendale, PA, USA, (2003), 245.
42. G. Guillemot, Ch.-A. Gandin and H. Combeau: Solidification Processes and Microstructures: A Symposium in Honor of Prof. W. Kurz, ed. by M. Rappaz, C. Beckermann and R. Trivedi, TMS, Warrendale, PA, USA, (2004), 157.
43. G. Lesoult, V. Albert, H. Combeau, D. Daloz, A. Joly, C. Stomp, G. U. Grün and P. Jarry: Prof. Conf. IUMRS-ICAM'99, C-MRS, China, (1999).
44. W. Kurz and B. Lux: Schweizer angewandte Wissenschaft Technik Archiv., 35 (1969), 49.
45. D. Fainstein-Pedraza and G. F. Boiling: J. Cryst. Growth, 28 (1975), 311, 319.
46. R. Ragnarsson, B. Utter and E. Bodenschatz: Phase Transformations and System Driven Far from Equilibrium, Mater. Res. Soc., USA, (1998).
47. D. Bouchard and J. S. Kirkaldy: Metall. Mater. Trans. B, 28B (1997), 651.
48. M. Gündüz and J. D. Hunt: Acta Metall., 33 (1985), 1651.
49. Deduced from data in Chemical Engineers' Handbook, ed. by J. H. Perry, McGraw-Hill Inc., USA, (1963).