Transformation kinetics for nucleation on second-phase particles: analytical solution and computer simulation
Source abstract
Abstract
Abstract An analytical solution, based on stochastic geometry concepts, is presented here for transformations in which nuclei are located on the interface between second-phase particles and the parent matrix. The analytical solution aims at the most common situation in which the particles are dispersed within the matrix with a particle volume fraction less than 0.1 so that particle/particle impingement is small. A computer simulation was carried out to compare with the analytical solution. This comparison revealed that in some circumstances the analytical solution may be valid for particle volume fractions well beyond 0.1 when there is a significant amount of impingement. The formalism is valid for particle stimulated nucleation during recrystallization as well as for phase transformations that nucleate on the interface of a previously extant phase and the parent matrix. Detailed determination of the bounds within which the analytical solution is valid is carried out with the help of computer simulation. The reasons for this extended validity of the analytical solution are discussed in depth.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Microstructure and mechanical properties · Metallurgy and Material Forming · Metal Alloys Wear and Properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (45)
Show source-provided references
1. Reaction kinetics in processes of nucleation and growth
2. Kinetics of phase change. I general theory10.1063/1.1750380 ↗
3. Kinetics of phase change. II transformation-time relations for random distribution of nuclei10.1063/1.1750631 ↗
4. Granulation, phase change, and microstructure kinetics of phase change. III10.1063/1.1750872 ↗
5. On the statistical theory of metal crystallization
6. A commentary on: “reaction kinetics in processes of nucleation and growth”*10.1007/s11661-010-0421-1 ↗
7. The kinetics of grain boundary nucleated reactions10.1016/0001-6160(56)90041-4 ↗
8. Analysis of solid state phase transformation kinetics : models and recipes10.1179/174328007X160308 ↗
9. The time cone method for nucleation and growth kinetics on a finite domain10.1557/PROC-398-425 ↗
10. 2013
11. Evolution of the domain structure during the nucleation-and-growth process with non-conserved order parameter10.1016/0378-4371(86)90146-9 ↗
12. Impact of heterogeneous boundary nucleation on transformation kinetics and microstructure10.1016/S1359-6454(96)00245-5 ↗
13. Impact of short-range repulsive interactions between nuclei on the evolution of a phase transformation10.1063/1.1331568 ↗
14. Phase transition kinetics in the case of nonrandom nucleation10.1103/PhysRevB.65.140301 ↗
15. Rickman · 2017 · 22121 · 1
16. Kinetics and microstructure of a transformation on a sphere10.1016/j.physa.2010.07.027 ↗
17. Simultaneous and sequential transformations10.1016/j.actamat.2010.11.030 ↗
18. Transformation kinetics for inhomogeneous nucleation10.1016/j.actamat.2008.11.003 ↗
19. Transformation kinetics for nucleus clusters10.1016/j.actamat.2009.04.014 ↗
20. Transformation kinetics for surface and bulk nucleation10.1016/j.actamat.2010.01.012 ↗
21. Transformation kinetics for nucleation on random planes and lines10.5566/ias.v30.p153-165 ↗
22. An analytical approach to the effect of a distribution of growth velocities on recrystallization kinetics10.1016/j.scriptamat.2011.07.055 ↗
23. Application of stochastic geometry to nucleation and growth transformations
24. Computer simulation of sequential transformations10.1016/j.actamat.2016.12.068 ↗
25. Computer simulation of simultaneous evolution of individual texture components during recrystallization of an IF steel10.1590/S1516-14392013005000111 ↗
26. Analytical expressions for formal kinetics10.4028/www.scientific.net/MSF.715-716.971 ↗
27. Kinetics of transformations nucleated on random parallel planes: analytical modelling and computer simulation10.1088/0965-0393/20/3/035017 ↗
28. The nucleation of recrystallization at second phase particles in deformed aluminium10.1016/0001-6160(77)90109-2 ↗
29. Texture development during recrystallization of aluminium containing large particles10.1016/0001-6160(85)90176-2 ↗
30. Three-dimensional investigation of recrystallization nucleation in a particle-containing Al alloy10.1016/j.scriptamat.2012.05.006 ↗
31. Particle stimulated nucleation in coarse-grained ferritic stainless steel10.1007/s11661-012-1408-x ↗
32. Formation of acicular ferrite at oxide particles in steels10.1179/mst.1989.5.11.1057 ↗
33. On the effectiveness of inclusions as nucleation sites in weld deposits10.1016/S1359-6462(98)00033-5 ↗
34. The mechanism of acicular ferrite in weld deposits10.1016/j.cossms.2004.10.001 ↗
35. Modelling mechanisms and microstructures of recrystallisation10.1179/mst.1992.8.2.135 ↗
36. Particle stimulated nucleation during dynamic recrystallization using a cellular automata model10.1016/j.scriptamat.2005.01.012 ↗
37. Modeling recrystallization of aluminum alloys: a refined approach to particle stimulated nucleation10.4028/www.scientific.net/MSF.558-559.1169 ↗
38. A model for the nucleation of recrystallization from particles: the texture aspect10.1016/S0036-9748(88)80180-7 ↗
39. Global recrystallisation model of low carbon sheet steels with different cementite contents10.1016/j.msea.2009.04.045 ↗
40. Baddeley · 2007
41. Villa · 2007
42. Use of the stereological counting measurements in testing theories of growth rates10.1007/BF02811979 ↗
43. Annealing processes recovery recrystallization and grain growth
44. Microstructural path and temperature dependence of recrystallization in commercial aluminum10.1016/S1359-6454(01)00074-X ↗
45. Microstructural paths of shape-preserved nucleation and growth transformations10.1016/0956-7151(91)90317-T ↗