Transformation kinetics for nucleus clusters

Acta Materialia

Volumn 57, Issue 13, 2009, Pages 3714-3724

  Villa, Elena ^a   Rios, Paulo R ^b  

^a UNIVERSITY OF MILAN   (Italy)

^b FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

Author keywords

Analytical methods; Kinetics; Microstructure; Phase transformations; Recrystallization

Indexed keywords

ANALYTICAL METHODS; CLUSTER PROCESS; EXACT ANALYTICAL SOLUTIONS; FORMAL KINETICS; KOLMOGOROV; MATHEMATICAL APPROACH; MICROSTRUCTURAL PATHS; NEW SOLUTIONS; NUCLEATION SITES; NUMERICAL EXAMPLE; PHASE TRANSFORMATIONS; POISSON POINT PROCESS; RECRYSTALLIZATION; SOLVABLE CASE; STOCHASTIC GEOMETRY; SUPERPOSITION PRINCIPLE; TRANSFORMATION KINETICS;

COMPUTATIONAL COMPLEXITY; MATHEMATICAL TRANSFORMATIONS; MICROSTRUCTURE; NUCLEATION; RECRYSTALLIZATION (METALLURGY);

GROWTH KINETICS;

EID: 67649103578     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2009.04.014     Document Type: Article

References (38)

1. Kolmogorov A.N. Izv Akad Nauk USSR-Ser Matemat 1 (1937) 355
2. Johnson W.A., and Mehl R.F. Trans AIME 135 (1939) 416
3. Avrami M.J. J Chem Phys 7 (1939) 1103
4. Avrami M.J. J Chem Phys 8 (1940) 212
5. Avrami M.J. J Chem Phys 9 (1941) 177
6. Cahn J.W. Acta Metall 4 (1956) 449
7. Gokhale A.M., Iswaran C.V., and DeHoff R.T. Metall Trans A 10A (1979) 1239
8. DeHoff RT. In: Hansen N, Jensen DJ, Leffers T, Ralph B, editors. Annealing processes recovery, recrystallization and grain growth, proceedings of the 7th conference of Risø National Laboratory, Roskilde, Denmark; 1986. p. 35.
9. Vandermeer R.A., Masumura R.A., and Rath B.B. Acta Metall Mater 39 (1991) 383
10. Cahn J.W. Mater Res Soc Symp Proc 398 (1996) 425
11. Birnie III D.P., and Weinberg M.C. J Chem Phys 103 (1995) 3742
12. Rickman J.M., Tong W.S., and Barmak K. Acta Mater 45 (1997) 1153
13. Tong W.S., Rickman J.M., and Barmak K. Acta Mater 47 (1999) 435
14. Vandermeer R.A. Acta Mater 53 (2005) 1449
15. Rios P.R., Godiksen R.B., Schmidt S., Jensen D.J., and Vandermeer R.A. Scripta Mater 54 (2006) 1509
16. Godiksen R.B., Rios P.R., Vandermeer R.A., Schmidt S., and Jensen D.J. Scripta Mater 58 (2008) 279
17. Rios P.R. Acta Mater 55 (2007) 4339
18. Vandermeer R.A., and Jensen D.J. Acta Mater 49 (2001) 2083
19. Rios P.R., Yamamoto T., Kondo T., and Sakuma T. Acta Mater 46 (1998) 1617
20. Yamamoto T., Sakuma T., and Rios P.R. Scripta Mater 39 (1998) 1713
21. Rios P.R., and Guimarães J.R.C. Scripta Mater 57 (2007) 1105
22. Rios P.R., and Guimarães J.R.C. Mater Res 11 (2008) 103 10.1590/S1516-1439200800010002
23. Capasso V., Burger M., Micheletti C., and Salani C. In: Capasso V. (Ed). Mathematics in industry. Polymer processing polymerization, crystallization, manufacturing vol. 2 (2002), Springer-Verlag, Berlin 167
24. Burger M., Capasso V., and Salani C. Nonlinear Anal Ser B 3 (2002) 139
25. Rios P.R., and Villa E. Acta Mater 57 (2009) 1199
26. Stoyan D., Kendall W.S., and Mecke J. Stochastic geometry and its application (1995), Wiley, Chichester
27. Capasso V., and Villa E. In: Weil W. (Ed). Stochastic geometry (2007), Springer-Verlag, Berlin 267
28. Villa E. Int J Contemp Math Sci 3 (2008) 1141
29. Matérn B. Lecture notes in statistics. Spatial variation vol. 36 (1986), Springer-Verlag, Berlin
30. Billingsley P. Probability and measure (1995), Wiley & Sons, New York
31. Baddeley A. In: Weil W. (Ed). Stochastic geometry (2007), Springer-Verlag, Berlin 1
32. The comprehensive R archive network. .
33. Mansson M., and Rudemp M. Adv Appl Prob 34 (2002) 718
34. Møller J. Adv Appl Prob 24 (1992) 814
35. Schneider R. Convex bodies: the Brunn-Minkowski theory (1993), Cambridge University Press, Cambridge
36. Villa E. Methods of geometric measure theory in stochastic geometry. PhD Thesis, Università degli Studi di Milano, Milano; 2007.
37. Rios P.R., Pereira L.O., Oliveira F.F., Assis W.L.S., and Oliveira V.T. Mater Res 10 (2007) 141 10.1590/S1516-14392007000200008
38. Siqueira RP. Private communication.