A quantitative multi-phase field model of polycrystalline alloy solidification

Acta Materialia

Volumn 58, Issue 6, 2010, Pages 2155-2164

  Ofori Opoku, Nana ^a   Provatas, Nikolas ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

Dendritic growth; Phase field modeling; Solidification

Indexed keywords

BULK PHASE; CONCENTRATION FIELDS; DENDRITIC GROWTH; GRAIN-BOUNDARY ENERGY; GROWTH STAGES; INTERFACE ANALYSIS; PHASE FIELD MODELS; POLYCRYSTALLINE ALLOYS; POLYCRYSTALLINE SOLIDIFICATION; QUANTITATIVE SIMULATION; SHARP INTERFACE; STEADY STATE;

BINARY ALLOYS; CERIUM ALLOYS; COALESCENCE; CRYSTALLIZATION; DENDRIMERS; GRAIN BOUNDARIES; GRAIN SIZE AND SHAPE; SOLID SOLUTIONS; SOLIDIFICATION;

PHASE INTERFACES;

EID: 76249087098     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2009.12.001     Document Type: Article

References (35)

1. Caginalp G. Anal Phys 172 (1986) 136
2. Caginalp G., and Socolovsky E. SIAM J Sci Comput 15 (1991) 106
3. Karma A. Phys Rev Lett 87 (2001) 115701
4. Kim S.G., Kim W.T., and Suzuki T. Phys Rev E 60 (1999) 7186
5. Chen L.Q. Annu Rev Mater Sci 32 (2002) 113
6. Zhu J., Wang T., Zhou S., Lui Z., and Chen L. Acta Mater 52 (2004) 833
7. Echebarria B., Folch R., Karma A., and Plapp M. Phys Rev E 70 (2004) 061604
8. Folch R., and Plapp M. Phys Rev E 72 (2005) 011602
9. Bottger B., Eiken J., and Steinbach I. Acta Mater 54 (2006) 2697
10. Mecozzi M., Sietsma J., Zwaag S.V.D., Apel M., Schaffnit P., and Steinbach I. Metall Mater Trans A 36 (2005) 2327
11. Kim S.G. Acta Mater 55 (2007) 4391
12. Almgren R. SIAM J Appl Math 59 (1999) 2086
13. Tong C., Greenwood M., and Provatas N. Phys Rev E 77 (2008) 1
14. Karma A., and Rappel W.-J. Phys Rev E 53 (1996) R3017
15. Provatas N., Goldenfeld N., and Dantzig J. Phys Rev Lett 80 (1998) 3308
16. Provatas N., Dantzig J., and Goldenfeld N. J Comput Phys 148 (1999) 265
17. Athreya B.P., Goldenfeld N., Dantzig J.A., Greenwood M., and Provatas N. Phys Rev E 76 (2007) 056706
18. Provatas N., Wang Q., Haataja M., and Grant M. Phys Rev Lett 91 (2003)
19. Greenwood M., Haataja M., and Provatas N. Phys Rev Lett 93 (2004) 246101
20. Daniov D., and Nestler B. Phys Rev Lett 93 (2004) 215501
21. Nestler H.G.B., and Stinner B. Phys Rev E 71 (2005) 041609
22. Kazaryan A., Wang Y., Dregia S.A., and Patton B.R. Acta Mater 50 (2002) 2491
23. Moelans N., Blanpain B., and Wollants P. Acta Mater 54 (2006) 1175
24. Nestler B., Wendler F., Selzer M., Stinner B., and Garcke H. Phys Rev E 78 (2008) 011604
25. Moelans N., Blanpain B., and Wollants P. Phys Rev Lett 101 (2008) 025502
26. Garcke H., Nestler B., and Stoth B. SIAM J Appl Math 60 (1999) 295
27. Steinbach I. Model Simul Mater Sci Eng 7 (2009) 073001
28. Ofori-Opoku N. MASc thesis, McMaster University; 2009.
29. Rappaz M., Jacot A., and Boettinger W.J. Metall Mater Trans A 34A (2003) 467
30. Zhu J., Wang T., Ardell A., Zhou S., Lui Z., and Chen L. Acta Mater 52 (2004) 2837
31. Kazaryan A., Wang Y., Dregia S.A., and Patton B.R. Phys Rev B 63 (2001) 184102
32. Zhu J.Z., Wang T., Ardell A.J., Zhou S.H., Liu Z.K., and Chen L.Q. Acta Mater 52 (2004) 2837
33. Warren J.A., Kobayashi R., Lobkovsky A.E., and Carter W.C. Acta Mater 51 (2003) 6035
34. McFadden G.B., and Wheeler A.A. Proc Roy Soc Lond A 258 (2002) 1129
35. Ma N., Kazaryan A., Dregia S.A., and Wang Y. Acta Mater 52 (2004) 3869