Phase field simulations of stress distributions in solidification structures

Journal of Crystal Growth

Volumn 310, Issue 7-9, 2008, Pages 1331-1336

  Uehara, Takuya ^a   Fukui, Motoshi ^b   Ohno, Nobutada ^b  

^a YAMAGATA UNIVERSITY   (Japan)

^b NAGOYA UNIVERSITY   (Japan)

Author keywords

A1. Computer simulation; A1. Dendrites; A1. Phase field model; A1. Solidification; A1. Stresses

Indexed keywords

COMPUTER SIMULATION; ELASTIC CONSTANTS; FINITE ELEMENT METHOD; MICROSTRUCTURE; MORPHOLOGY;

PHASE FIELD MODELS; SOLIDIFICATION STRUCTURES; STRESS DISTRIBUTIONS;

SOLIDIFICATION;

EID: 41449099290     PISSN: 00220248     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcrysgro.2007.12.035     Document Type: Article

References (20)

1. R.F. Sekerka, Fundamentals of phase field theory, in: Advances in Crystal Growth Research, Elsevier, Amsterdam, 2001, p. 21.
2. Kobayashi R. Physica D 63 (1993) 410
3. Wheeler A.A., Boettinger W.J., and McFadden G.B. Phys. Rev. E 47 (1993) 1893
4. Bi Z., and Sekerka R.F. Physica A 261 (1998) 95
5. Uehara T., and Sekerka R.F. J. Crystal Growth 254 (2003) 251
6. Fan D., and Chen L.-Q. Acta Mater. 45 (1997) 611
7. Kobayashi R., Warren J.A., and Carter W.C. Physica D 119 (1998) 415
8. Warren J.A., Kobayashi R., Lobkovsky A.E., and Carter W.C. Acta Mater. 51 (2003) 6035
9. Wang S.-L., Sekerka R.F., Wheeler A.A., Murray B.T., Coriell S.R., Braun R.J., and McFadden G.B. Physica D 69 (1993) 189
10. McFadden G.B., Wheeler A.A., Braun R.J., and Coriell S.R. J. Crystal Growth 48 (1993) 2016
11. Uehara T., and Tsujino T. J. Crystal Growth 275 (2005) e219
12. Uehara T., and Tsujino T. Trans. JSME A 72 (2006) 438
13. Uehara T., Tsujino T., and Ohno N. J. Crystal Growth 300 (2007) 530
14. Uehara T., and Tsujino T. Trans. JSME A 72 (2006) 849
15. For example: R. Hill, The Mathematical Theory of Plasticity, Oxford University Press, London, 1951.
16. Provatas N., Goldenfeld N., and Dantzig J. J. Comp. Phys. 148 (1999) 265
17. Caginalp G., and Fife P. Phys. Rev. B 33 (1986) 7792
18. Murray B.T., Wheeler A.A., and Glicksman M.E. J. Crystal Growth 154 (1995) 386
19. Karma A., and Rappel W.J. Phys. Rev. E 57 (1998) 4323
20. Uehara T., Wakabayashi N., and Ohno N. Key Eng. Mater. 340/341 (2007) 1003