Analysis of solid state phase transformation kinetics: Models and recipes

International Materials Reviews

Volumn 52, Issue 4, 2007, Pages 193-212

  Liu, F ^a,b   Sommer, F ^b   Bos, C ^b   Mittemeijer, E J ^b  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b MAX PLANCK INSTITUTE FOR INTELLIGENT SYSTEMS   (Germany)

Author keywords

Growth; Impingement; Isochronal; Isothermal; Kinetics; Nucleation; Numerical and analytical kinetic analyses; Phase transformation

Indexed keywords

ACTIVATION ENERGY; ISOTHERMS; KINETIC PARAMETERS; MATHEMATICAL MODELS; NUMERICAL METHODS;

HARD IMPINGEMENT MECHANISMS; IMPINGEMENT; SOLID-STATE PHASE TRANSFORMATIONS; TEMPERATURE DEPENDENT GROWTH EXPONENTS;

NUCLEATION;

EID: 34547586261     PISSN: 09506608     EISSN: None     Source Type: Journal    
DOI: 10.1179/174328007X160308     Document Type: Review

References (60)

1. W. A. Johnson and R. F. Mehl: Trans. Am. Inst. Min. (Metall.) Eng., 1939, 135, 416.
2. M. Avrami: J. Chem. Phys., 1939, 7, 1109.
3. M. Avrami: J. Chem. Phys., 1940, 8, 212.
4. M. Avrami: J. Chem. Phys., 1941, 9, 177.
5. A. N. Kolmogorov: Izv. Akad. Nauk SSSR Ser. Mat., 1937, 3, 355.
6. J. W. Christian: 'The theory of transformation in metals and alloys'; 2002, Oxford, Pergamon Press.
7. E. J. Mittemeijer: J. Mater. Sci., 1992, 27, 3977.
8. E. Woldt: J. Phys. Chem. Solids, 1992, 53, 521.
9. D. W. Henderson: J. Non-Cryst. Solids, 1979, 30, 301.
10. J. Vazquez, P. L. Lopez-Alemany, P. Villares and R. Jimenez-Garay: J. Phys. Chem. Solids, 2000, 61, 493.
11. J. Baram and V. Erukhimovitch: Thermochim. Acta, 1997, 291, 81.
12. J. Malek: Thermochim. Acta, 1995, 267, 61.
13. M. J. Starink: J. Mater. Sci., 2001, 36, 4433.
14. C. Bos, F. Sommer and E. J. Mittemeijer: Acta Mater., 2004, 52, 3545.
15. T. Pusztai and L. Granasy: Phys. Rev. B, 1998, 57B, 14110.
16. B. J. Kooi: Phys. Rev. B, 2004, 70B, (22), 224108.
17. G. Ghosh, M. Chandrasekaran and L. Delaey: Acta Mater., 1991, 39, 925.
18. A. Calka and A. P. Radlinski: Acta Mater., 1987, 35, 1823.
19. C. W. Price: Acta Metall. Mater., 1990, 38, 727.
20. W. Sha: Mater. Sci. Technol., 2005, 21, 69.
21. K. Biswas, S. Ram, L. Schultz and J. Eckert: J. Alloys Compd, 2005, 397, 104.
22. Z.-Z. Yuan, X.-D. Chen, B.-X. Wang and Z.-J. Chen: J. Alloys Compd, 2005, 399, 166.
23. A. T. W. Kempen, F. Sommer and E. J. Mittemeijer, J. Mater. Sci., 2002, 37, 1321.
24. E. J. Mittemeijer and F. Sommer: Z. Metallkd, 2002, 93, 5.
25. A. T. W. Kempen, F. Sommer and E. J. Mittemeijer: Acta Mater., 2002, 50, 1319.
26. A. T. W. Kempen, H. Nitsche, F. Sommer and E. J. Mittemeijer: Metall. Mater. Trans. A, 2002, 33A, 1041.
27. F. Liu, F. Sommer and E. J. Mittemeijer: J. Mater. Sci., 2004, 39, 1621.
28. F. Liu, F. Sommer and E. J. Mittemeijer: J. Mater. Res., 2004, 19, (9), 2586.
29. F. Liu, F. Sommer and E. J. Mittemeijer: Acta Mater., 2004, 52, 3207.
30. D. A. Porter and K. E. Easterling: 'Phase transformations in metals and alloys', 192; 1981, Workingham, Van Nostrand Reinhold.
31. H.I. Aaronson and J. K. Lee: in 'Lectures on the theory of phase transformation', 2nd edn, (ed. H. I. Aaronson), 165-229; 1999, Warrendale, PA, TMS.
32. H. Nitsche, F. Sommer and E. J. Mittemeijer: J. Non-Cryst. Solids, 2005, 351, 3760.
33. G. Ruitenberg, A. K. Petford-Long and R. C. Doole: J. Appl. Phys., 2002, 92, 3116.
34. S. Ranganathan and M. von Heimendahl: J. Mater. Sci., 1981, 16, 2401.
35. F. Liu, F. Sommer and E. J. Mittemeijer: J. Mater. Sci., 2007, 42, 573.
36. J. W. Cahn: Acta Met., 1956, 4, 449.
37. F. Liu, H. Nitsche, J. F. Li, F. Sommer and E. J. Mittemeijer: to be published.
38. A. T. W. Kempen, F. Sommer and E. J. Mittemeijer: Acta Mater., 2002, 50, 3545.
39. Y. C. Liu, F. Sommer and E. J. Mittemeijer: Acta Mater., 2003, 51, 507.
40. Y. C. Liu, F. Sommer and E. J. Mittemeijer: Philos. Mag., 2004, 84, 1853.
41. C. Bos, F. Sommer and E. J. Mittemeijer: Acta Mater., 2005, 53, 5333.
42. J. Sietsma and S. van der Zwaag: Acta Mater., 2004, 52, 4143.
43. C. Bos, F. Sommer and E. J. Mittemeijer: Acta Mater., 2004, 52, 3545.
44. C. Bos, F. Sommer and E. J. Mittemeijer: Model. Simul. Mater. Sci. Eng., 2006, 14, 273.
45. C. Bos, F. Sommer and E. J. Mittemeijer: Philos. Mag., 2007, 87, 2262.
46. L. C. Zhang, J. Xu and J. Eckert: J. Appl. Phys., 2006, 100, 033514.
47. J. Vazquez, D. G. G. Barreda, P. L. Lopez-Alemany, P. Villares and R. Jiménez-Garay: J. Alloys Compd, 2006, 421, 109.
48. A. A. Sbu-Sehly: Physics B, 2003, 325B, 372.
49. A. H. Moharram, A. A. Abu-Sehly, M. Abu El-Oyoun and A. S. Soltan: Physics B, 2002, 324B, 344.
50. S. S. Sahay and K. Krishnan: Physics B, 2004, 348B, 310.
51. D. R. Allen, J. C. Foley and J. H. Perepezko: Acta Mater., 1998, 46, 431.
52. T. Pradell, D. Crespo and N. Clavaguera: J. Phys.: Condens. Matter, 1998, 10, 3833.
53. D. E. Coates: Metall. Trans. A, 1972, 3A, 1203.
54. C. Capidevila and F. G. Caballero: Metall. Mater. Trans. A, 2001, 32A, 661.
55. B. J. Kooi: Phys. Rev. B, 2006, 73B, 054103.
56. W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling: 'Numerical recipes in C', 2nd edon;1992, Cambridge, University Press.
57. J. Oliver: Comput. J., 1972, 15, 141.
58. H. E. Kissinger: Anal. Chem., 1957, 29, 1702.
59. J. Zsako: J. Therm. Anal., 1988, 34, 1489.
60. M. Abramowitz and I. A. Stegun: 'Handbook of mathematical functions', 228; 1968, New York, Dover.