Dendritic to globular morphology transition in ternary alloy solidification

Physical Review Letters

Volumn 93, Issue 21, 2004, Pages

  Danilov, Denis ^a   Nestler, Britta ^a  

^a KARLSRUHE UNIVERSITY OF APPLIED SCIENCES   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GLOBULAR GROWTH STRUCTURE; PHASE-FIELD MODELS; SOLID PHASE; TERNARY ALLOY SOLIDIFICATION;

COMPUTER SIMULATION; COOLING; FINITE ELEMENT METHOD; GROWTH (MATERIALS); IMPURITIES; INTERFACES (MATERIALS); MATHEMATICAL MODELS; MICROSTRUCTURE; SEGREGATION (METALLOGRAPHY); SOLIDIFICATION; VECTORS;

ALLOYING;

EID: 37649031518     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.215501     Document Type: Article

References (18)

1. W.W. Mullins and R. F. Sekerka, J. Appl. Phys. 35, 444 (1964).
2. R. Trivedi and W. Kurz, Acta Metall. 34, 1663 (1986).
3. S. R. Coriell, G. B. McFadden, and P.W. Voorhees, J. Cryst. Growth 82, 295 (1987).
4. G. Caginalp and W. Xie, Phys. Rev. E 48, 1897 (1993); K. R. Elder et al., Phys. Rev. E 64, 021604 (2001); D. Kessler, J. Cryst. Growth 224, 175 (2001); C. Eck, Multiscale Model. Sim. 3, 28 (2004).
5. G. Caginalp and W. Xie, Phys. Rev. E 48, 1897 (1993); K. R. Elder et al., Phys. Rev. E 64, 021604 (2001); D. Kessler, J. Cryst. Growth 224, 175 (2001); C. Eck, Multiscale Model. Sim. 3, 28 (2004).
6. G. Caginalp and W. Xie, Phys. Rev. E 48, 1897 (1993); K. R. Elder et al., Phys. Rev. E 64, 021604 (2001); D. Kessler, J. Cryst. Growth 224, 175 (2001); C. Eck, Multiscale Model. Sim. 3, 28 (2004).
7. G. Caginalp and W. Xie, Phys. Rev. E 48, 1897 (1993); K. R. Elder et al., Phys. Rev. E 64, 021604 (2001); D. Kessler, J. Cryst. Growth 224, 175 (2001); C. Eck, Multiscale Model. Sim. 3, 28 (2004).
8. W. J. Boettinger, J. A. Warren, C. Beckermann, and A. Karma, Annu. Rev. Mater. Res. 32, 163 (2002).
9. J. A. Warren and W. J. Boettinger, Acta Metall. Mater. 43, 689 (1995).
10. J. J. Hoyt, M. Asta, and A. Karma, Phys. Rev. Lett. 86, 5530 (2001); J. J. Hoyt, B. Sadigh, M. Asta, and S. M. Foiles, Acta Mater. 47, 3181 (1999); D.Y Sun, M. Asta, and J. J. Hoyt, Phys. Rev. B 69, 024108 (2004).
11. J. J. Hoyt, M. Asta, and A. Karma, Phys. Rev. Lett. 86, 5530 (2001); J. J. Hoyt, B. Sadigh, M. Asta, and S. M. Foiles, Acta Mater. 47, 3181 (1999); D.Y Sun, M. Asta, and J. J. Hoyt, Phys. Rev. B 69, 024108 (2004).
12. J. J. Hoyt, M. Asta, and A. Karma, Phys. Rev. Lett. 86, 5530 (2001); J. J. Hoyt, B. Sadigh, M. Asta, and S. M. Foiles, Acta Mater. 47, 3181 (1999); D.Y Sun, M. Asta, and J. J. Hoyt, Phys. Rev. B 69, 024108 (2004).
13. H. Garcke, B. Nestler, and B. Stinner, SIAM J. Appl. Math. 64, 775 (2004).
14. N. Provatas et al., Phys. Rev. Lett. 80, 3308 (1998); A. Karma and W.-J. Rappel, Phys. Rev. E 57, 4323 (1998); M. Plapp and A. Karma, Phys. Rev. Lett. 84, 1740 (2000); W. L. George and J. A. Warren, J. Comput Phys. 177, 264 (2002).
15. N. Provatas et al., Phys. Rev. Lett. 80, 3308 (1998); A. Karma and W.-J. Rappel, Phys. Rev. E 57, 4323 (1998); M. Plapp and A. Karma, Phys. Rev. Lett. 84, 1740 (2000); W. L. George and J. A. Warren, J. Comput Phys. 177, 264 (2002).
16. N. Provatas et al., Phys. Rev. Lett. 80, 3308 (1998); A. Karma and W.-J. Rappel, Phys. Rev. E 57, 4323 (1998); M. Plapp and A. Karma, Phys. Rev. Lett. 84, 1740 (2000); W. L. George and J. A. Warren, J. Comput Phys. 177, 264 (2002).
17. N. Provatas et al., Phys. Rev. Lett. 80, 3308 (1998); A. Karma and W.-J. Rappel, Phys. Rev. E 57, 4323 (1998); M. Plapp and A. Karma, Phys. Rev. Lett. 84, 1740 (2000); W. L. George and J. A. Warren, J. Comput Phys. 177, 264 (2002).
18. P. K. Galenko and V. A. Zhuravlev, Physics of Dendrites: Computational Experiments (World Scientific, Singpore, 1994).