journal article·2011-02Open access

Simultaneous and sequential transformations

Paulo R. Rios, Elena Villa

Acta Materialia· Volume 59· Issue 4

Abstract

AbstractA new formal kinetics methodology suitable for the situation in which transformations take place simultaneously or sequentially is presented. Based on the distinction between theoretical and experimental quantities, and with the help of the superposition principle, general relationships were obtained to deal with simultaneous and sequential reactions. The equations presented here are able to deal with position-dependent quantities and there is no need to rely on extended volume. They are suitable both for model building, i.e. obtaining expressions for simultaneous or sequential reactions from models of the kinetics of each reaction in isolation, as well as for extracting theoretical information from experimentally measured quantities.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Polymer crystallization and properties · Thermal and Kinetic Analysis · Carbon Nanotubes in Composites

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (35)

Show source-provided references
1. Vandermeer · Acta Mater · 2001 · 49 · 208310.1016/S1359-6454(01)00074-X ↗
2. Yamamoto · Scr Mater · 1998 · 39 · 171310.1016/S1359-6462(98)00389-3 ↗
3. Rios · Scr Mater · 2007 · 57 · 110510.1016/j.scriptamat.2007.08.019 ↗
4. Capasso · 2002 · vol. 2 · 167
5. Burger · Nonlinear Anal, Ser B · 2002 · 3 · 13910.1016/S1468-1218(01)00019-0 ↗
6. Kolmogorov · Izv Akad Nauk USSR-Ser Matemat · 1937 · 1 · 355
7. Johnson · Trans AIME · 1939 · 135 · 416
8. Avrami · J Chem Phys · 1939 · 7 · 110310.1063/1.1750380 ↗
9. Avrami · J Chem Phys · 1940 · 8 · 21210.1063/1.1750631 ↗
10. Avrami · J Chem Phys · 1941 · 9 · 17710.1063/1.1750872 ↗
11. Vandermeer · Acta Metal Mater · 1994 · 42 · 242710.1016/0956-7151(94)90321-2 ↗
12. Vandermeer · Metall Trans · 1995 · 26A · 222710.1007/BF02671238 ↗
13. Jones · Acta Mater · 1997 · 45 · 291110.1016/S1359-6454(96)00392-8 ↗
14. Jones · Metall Mater Trans A · 1997 · 28A · 200510.1007/s11661-997-0157-8 ↗
15. Kelton · Acta Metall · 1985 · 33 · 45510.1016/0001-6160(85)90088-4 ↗
16. Weinberg · J Non-Cryst Solids · 1992 · 142 · 12610.1016/S0022-3093(05)80015-8 ↗
17. Kelton · J Non-Cryst Solids · 1996 · 204 · 1310.1016/0022-3093(96)00402-4 ↗
18. Huang · Metall Mater Trans A · 2004 · 35A · 336310.1007/s11661-004-0173-x ↗
19. Militzer · ISIJ Int · 2007 · 47 · 110.2355/isijinternational.47.1 ↗
20. Valencia Morales · Acta Mater · 2004 · 52 · 108310.1016/j.actamat.2003.10.041 ↗
21. Cahn · Acta Metall · 1956 · 4 · 44910.1016/0001-6160(56)90041-4 ↗
22. Villa · Acta Mater · 2009 · 57 · 371410.1016/j.actamat.2009.04.014 ↗
23. Rios · Mater Res · 2009 · 12 · 21910.1590/S1516-14392009000200017 ↗
24. Villa · Acta Mater · 2010 · 58 · 275210.1016/j.actamat.2010.01.012 ↗
25. Rios · Acta Mater · 2009 · 57 · 119910.1016/j.actamat.2008.11.003 ↗
26. Vandermeer · Acta Metall Mater · 1991 · 39 · 38310.1016/0956-7151(91)90317-T ↗
27. On the evolution equations of mean geometric densities for a class of space and time inhomogeneous stochastic birth-and-growth processes
28. Stoyan · 1995
29. Villa · Int J Contemp Math Sci · 2008 · 3 · 1141
30. Villa E. Methods of geometric measure theory in stochastic geometry, PhD thesis, Università degli Studi di Milano, Milano; 2007.
31. Billingsley · 1995
32. Theory of the pearlite reaction
33. Capasso · Stoch Anal Appl · 2008 · 26 · 78410.1080/07362990802128396 ↗
34. Vandermeer · Metall Trans · 1989 · 20A · 39110.1007/BF02653918 ↗
35. Barmak K. Metall Mater Trans A, in press.doi:10.1007/s11661-010-0421-1.10.1007/s11661-010-0421-1 ↗