journal article·2016-04

Kinetic modeling of solid-state partitioning phase transformation with simultaneous misfit accommodation

Shaojie Song, Feng Liu

Acta Materialia· Volume 108
Publisher page

Abstract

Abstract Considering a spherical misfitting precipitate growing into a finite elastic-perfectly plastic supersaturated matrix, a kinetic modeling for such solid-state partitioning phase transformation is presented, where the interactions of interface migration, solute diffusion and misfit accommodation are analyzed. The linkage between interface migration and solute diffusion proceeds through interfacial composition and interface velocity; their effects on misfit accommodation are mainly manifested in an effective transformation strain, which depends on instantaneous composition field and precipitate size. Taking γ to α transformation of a binary Fe-0.5 at.% C alloy under both isothermal and continuous cooling conditions as examples, the effects of misfit accommodation on the coupling interface migration and solute diffusion are well evaluated and discussed. For the isothermal transformation, a counterbalancing influence between mechanical and chemical driving forces is found so that the mixed-mode transformation kinetics is not sensitive with respect to the elastic–plastic accommodation of the effective misfit strain. Different from the isothermal process, during the continuous cooling condition, the effects of misfit accommodation on the kinetics of solid-state partitioning phase transformation are mainly manifested in the great decrease of the transformation starting temperature and the thermodynamic equilibrium composition. The present kinetic modeling was applied to predict the experimentally measured γ/α transformation of Fe-0.47 at.% C alloy conducted with a cooling rate of 10 K min−1 and a good agreement was achieved.
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Research context

OpenAlex topics: Microstructure and Mechanical Properties of Steels · High Temperature Alloys and Creep · Metallurgical Processes and Thermodynamics

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

References (63)

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. Kolmogorov · Izv. Akad. Nauk. SSSR Ser. Mater. · 1937 · 3 · 355
6. Analysis of solid state phase transformation kinetics: models and recipes10.1179/174328007X160308 ↗
7. Solid state phase transformation kinetics: evaluation of the modular transformation model10.3139/146.110537 ↗
8. Kozeschnik · 2013
9. Porter · 2009
10. A micromechanical model for transformation plasticity in steels10.1016/0956-7151(90)90121-V ↗
11. A new view on transformation induced plasticity (TRIP)10.1016/S0749-6419(99)00078-9 ↗
12. Finite element calculations of the accommodation energy of a misfitting precipitate in an elastic-plastic matrix10.1007/BF02675557 ↗
13. Finite element evaluation of elasto-plastic accommodation energies during solid state transformations: coherent, spherical precipitate in finite matrix10.1016/1359-6454(95)00216-2 ↗
14. Khachaturyan · 1983
15. Coherent precipitation-phase field method
16. Lattice-parameter change induced by accommodation of precipitate/matrix misfit; misfitting nitrides in ferrite10.1016/j.actamat.2015.07.017 ↗
17. Relaxation of a precipitate misfit stress state by creep in the matrix10.1016/j.ijplas.2014.08.014 ↗
18. The determination of the elastic field of an ellipsoidal inclusion, and related problems10.1098/rspa.1957.0133 ↗
19. Plastic relaxation of the transformation strain energy of a misfitting spherical precipitate: ideal plastic behavior10.1007/BF02655099 ↗
20. Plastic relaxation of the transformation strain energy of a misfitting spherical precipitate: linear and power-law strain hardening10.1007/BF02643699 ↗
21. Kinetics of diffusional phase transformation in multicomponent elastic-plastic materials10.1115/1.1586939 ↗
22. Phase stresses induced by the γ → α transformation in an iron polycrystal10.1134/1.1825559 ↗
23. Accommodation energy of formation and dissolution for a misfitting precipitate in an elastic–plastic matrix10.1088/0965-0393/4/3/003 ↗
24. Deformation, stress state, and thermodynamic force for a transforming spherical inclusion in an elastic–plastic material10.1115/1.1320453 ↗
25. Analysis of elastic–plastic accommodation due to volume misfit upon solid-state phase transformation10.1016/j.actamat.2013.10.039 ↗
26. Modelling of massive transformations in substitutional alloy10.1007/s11661-006-0158-z ↗
27. Christian · 2002
28. Kinetics of interfaces during diffusional transformations10.1016/S1359-6454(01)00012-X ↗
29. Theory of growth of spherical precipitates from solid solution10.1063/1.1698258 ↗
30. Diffusional formation of ferrite in iron and its alloys10.1016/0079-6425(85)90004-0 ↗
31. A concise model for mixed-mode phase transformations in the solid state10.1016/j.actamat.2004.05.027 ↗
32. A mixed-mode model for partitioning phase transformations10.1016/j.scriptamat.2007.08.030 ↗
33. Simulations of pro-eutectoid ferrite formation using a mixed control growth model10.1016/S0921-5093(97)00752-1 ↗
34. A mixed-mode model for the ferrite-to-austenite transformation in a ferrite/pearlite microstructure,10.1016/j.actamat.2015.01.058 ↗
35. The effect of self-stress on diffusion in solids,10.1016/0001-6160(82)90023-2 ↗
36. Growth of a coherent precipitate from a supersaturated solution10.1557/JMR.1988.0257 ↗
37. Phase field study of precipitate growth: effect of misfit strain and interface curvature10.1016/j.actamat.2009.04.056 ↗
38. Plastic relaxation during diffusion-controlled growth of Widmanstätten plates10.1016/j.scriptamat.2015.06.032 ↗
39. Phase field modeling of elasto-plastic deformation induced by diffusion controlled growth of a misfitting spherical precipitate10.1080/09500839.2010.541891 ↗
40. Diffusional phase transformation and deformation in steels10.1016/S0927-0256(02)00253-7 ↗
41. Modeling diffusional growth during austenite decomposition to ferrite in polycrystalline Fe-C alloys10.1016/0956-7151(90)90257-H ↗
42. Interface mobility in case of the austenite-to-ferrite phase transformation10.1016/j.commatsci.2005.12.011 ↗
43. On the Kröner approach to the strain energy of an incoherent spherical precipitate10.1080/14786437608223799 ↗
44. Simulation of chemically driven creep in multi-component systems with non-ideal sources and sinks for vacancies10.1016/j.actamat.2007.09.038 ↗
45. Relaxation of a precipitate misfit stress state by creep in the matrix10.1016/j.ijplas.2014.08.014 ↗
46. Modelling of precipitation kinetics with simultaneous stress relaxation
47. Quantitative analysis of the dilatation by decomposition of Fe-C austenites; calculation of volume change upon transformation
48. Dilatometric analysis of phase transformations in hypo-eutectoid steels10.1023/A:1004805402404 ↗
49. Solute drag, solute trapping and diffusional dissipation of Gibbs energy10.1016/S1359-6454(99)00336-5 ↗
50. Balluffi · 2005
51. Shewmon · 1989
52. Numerical and machine solutions of transient heat-conduction problems involving melting or freezing10.1115/1.4008149 ↗
53. Numerical treatment of the moving interface in diffusional reactions
54. On the numerical treatment of moving boundary problems
55. Numerical solutions of diffusion-controlled moving boundary problems which conserve solute10.1016/j.jcp.2005.02.031 ↗
56. Application of the cyclic phase transformation concept for investigating growth kinetics of solid-state partitioning phase transformations10.1016/j.commatsci.2010.06.026 ↗
57. Influence of coherency strain and applied stress upon diffusional ferrite nucleation in austenite: micromechanics approach10.1080/14786430902751569 ↗
58. Kinetics of AlN precipitation in microalloyed steel10.1088/0965-0393/18/5/055003 ↗
59. On the thermomechanical deformation behavior of duplex-type materials10.1016/0022-5096(95)00003-2 ↗
60. Mobility of α/γ phase interfaces in Fe alloys10.1016/j.scriptamat.2005.12.023 ↗
61. Analysis of the mobility of migrating austenite-ferrite interfaces10.1080/14786435.2015.1082662 ↗
62. The phase-field approach and solute drag modeling of the transition to massive γ → α transformation in binary Fe-C alloys,10.1016/S1359-6454(02)00527-X ↗
63. Thermodynamic analysis of isothermal transformations of hypo-eutectoid Fe-C austenites