journal article·2017-01

Phase-field simulations of curvature-induced cascading of Widmanstätten-ferrite plates

Avisor Bhattacharya, Kumar Ankit, Britta Nestler

Acta Materialia· Volume 123
Publisher page

Abstract

Abstract In the present study, we employ a multiphase-field model based on the grand chemical potential formulation to simulate the morphological evolution of secondary Widmanstatten ferrite ( α ') during isothermal γ (austenite) → α ' transformation in binary Fe-C steels. We add the stored-energy to the free-energy data obtained from CALPHAD database to simulate realistic kinetics of α ' plates in diffusion-controlled regime. By implementing an elliptic anisotropy in the interfacial energy, we study the influence of supersaturation on the growth kinetics and stable morphologies of the single plate and colonies while scrutinising the conformity of numerical simulations with theory. For the first time, we elucidate the curvature-driven mechanism by which, a cascade of parallel offspring plates evolve adjacent to the parent sideplate. The present phase-field simulations, while providing significant insights into the curvature-induced mechanism of evolution of α ' colony, also close the gap with in-situ observations reported earlier.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Microstructure and Mechanical Properties of Steels · Solidification and crystal growth phenomena · Aluminum Alloy Microstructure Properties

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

References (73)

Show source-provided references
1. The widmanstatten-start (Ws) temperature, as affected by matrix grain size, in Ti-6% Al-4%V and in Fe-C alloys10.1016/0036-9748(89)90397-9 ↗
2. On the mechanism of formation of diffusional plate-shaped transformation products10.1016/j.actamat.2005.10.049 ↗
3. The Watson-McDougall shear: proof that widmanstätten ferrite cannot grow martensitically10.1016/0036-9748(75)90226-4 ↗
4. Sympathetic nucleation: an overview10.1016/0921-5107(95)80022-0 ↗
5. A simplified treatment of the transition from diffusion controlled to diffusion-less growth10.1016/0001-6160(89)90277-0 ↗
6. Growth rate data on bainite in alloy steels10.1179/mst.1989.5.4.398 ↗
7. Nucleation of widmanstätten ferrite10.1179/mst.1990.6.8.781 ↗
8. Theoretical and numerical study of lamellar eutectoid growth influenced by volume diffusion10.1016/j.actamat.2013.03.050 ↗
9. Deviations from cooperative growth mode during eutectoid transformation: insights from a phase-field approach10.1016/j.actamat.2014.08.015 ↗
10. BCC-BCC orientation relationships, surface relief and displacive phase transformations in steels10.1016/0036-9748(80)90296-3 ↗
11. Diffusional formation of ferrite in iron and its alloys10.1016/0079-6425(85)90004-0 ↗
12. Effects of austenite grain size and cooling rate on widmanstatten ferrite formation in low-alloy steels10.1007/BF02665443 ↗
13. Metallographic evidence of carbon diffusion in the growth of bainite10.1016/j.actamat.2009.03.026 ↗
14. Growth kinetics of grain boundary ferrite allotriomorphs in Fe-C alloys10.1007/BF02661647 ↗
15. Three-dimensional morphology of grain boundary widmanstätten ferrite in a low carbon low alloy steel10.1016/j.matchar.2009.11.009 ↗
16. In-situ observation on the growth of widmanstätten sideplates in an Fe-C-Mn steel10.1016/j.matchar.2013.11.002 ↗
17. Microalloying effects in hot-rolled low-carbon steels finished at high temperatures10.1007/BF02660526 ↗
18. A method for coupling the phase-field model based on a grand-potential formalism to thermodynamic databases10.1016/j.cossms.2015.03.003 ↗
19. Grand-potential formulation for multicomponent phase transformations combined with thin-interface asymptotics of the double-obstacle potential10.1103/PhysRevE.85.021602 ↗
20. A phase field model incorporating strain gradient viscoplasticity: application to rafting in Ni-base superalloys10.1016/j.jmps.2012.04.003 ↗
21. Phase field study of acicular growth: role of elasticity in widmanstätten structure10.1016/j.actamat.2014.03.045 ↗
22. Plastic relaxation during diffusion-controlled growth of widmanstätten plates10.1016/j.scriptamat.2015.06.032 ↗
23. A phase-field model for highly anisotropic interfacial energy10.1016/S0167-2789(00)00222-0 ↗
24. On phase-field modeling with a highly anisotropic interfacial energy10.1140/epjp/i2011-11095-7 ↗
25. A multiphase field concept: numerical simulations of moving phase boundaries and multiple junctions10.1137/S0036139998334895 ↗
26. Overview of the current issues in austenite to ferrite transformation and the role of migrating interfaces therein for low alloyed steels10.1016/j.mser.2015.03.001 ↗
27. Resistance to fracture of weldable carbon structural steel with ferrite pearlite and widmanstatten structures10.1007/BF00670241 ↗
28. A thermodynamic evaluation of the Fe-C system
29. Do bainitic and widmanstätten ferrite grow with different mechanisms?10.1016/j.scriptamat.2009.09.033 ↗
30. Large scale phase-field simulations of directional ternary eutectic solidification10.1016/j.actamat.2015.03.051 ↗
31. Effect of arrangement of acicular ferrite in a widmanstätten microstructure on the fracture of mild steel10.1016/0921-5093(89)90540-6 ↗
32. Thickening kinetics of proeutectoid ferrite plates in Fe-C alloys10.1007/BF02667284 ↗
33. Effect of widmanstatten ferrite on some properties of hypoeutectoid steel10.1007/BF00801483 ↗
34. Influence of austenite grain size upon the widmanstätten-start (Ws) temperature for the proeutectoid ferrite reaction10.1016/0001-6160(72)90175-7 ↗
35. Three-dimensional analysis and classification of grain-boundary-nucleated proeutectoid ferrite precipitates10.1007/s11661-005-0212-2 ↗
36. On the formation of widmanstätten ferrite in binary Fe-C phase-field approach10.1016/j.actamat.2004.05.033 ↗
37. Phase-field simulation study of the migration of recrystallization boundaries10.1103/PhysRevB.88.054103 ↗
38. Multiscale simulations on the coarsening of Cu-rich precipitates in -Fe using kinetic monte carlo, molecular dynamics and phase-field simulations10.1016/j.actamat.2012.08.051 ↗
39. Composition pathway in Fe-Cu-Ni alloy during coarsening10.1088/0965-0393/21/7/075012 ↗
40. Morphological stability of a particle growing by diffusion or heat flow10.1063/1.1702607 ↗
41. Stability of a planar interface during solidification of a dilute binary alloy10.1063/1.1713333 ↗
42. Multicomponent alloy solidification: phase-field modeling and simulations10.1103/PhysRevE.71.041609 ↗
43. Phase-field model for multiphase systems with preserved volume fractions10.1103/PhysRevE.78.011604 ↗
44. Widmanstätten ferrite plate formation in low-carbon steels10.1007/s11661-004-0276-4 ↗
45. In situ observations of widmanstätten ferrite formation in a low-carbon steel10.1016/j.msea.2005.07.015 ↗
46. Unified derivation of phase-field models for alloy solidification from a grand-potential functional10.1103/PhysRevE.84.031601 ↗
47. Eutectic colony formation: a stability analysis10.1103/PhysRevE.60.6865 ↗
48. Effect of low-angle grain boundaries on morphology and variant selection of grain boundary allotriomorphs and widmansttten side-plates10.1016/j.actamat.2016.04.033 ↗
49. The interfacial structure of the broad faces of ferrite plates10.1016/0001-6160(79)90029-4 ↗
50. Selzer · 2014
51. Variant selection during precipitation in Ti6Al4V under the influence of local stress a simulation study10.1016/j.actamat.2013.06.042 ↗
52. The mechanical stabilisation of widmanstätten ferrite10.1016/S0921-5093(96)10479-2 ↗
53. Lengthening kinetics of ferrite and bainite sideplates10.1007/BF02644517 ↗
54. Phase-field simulation of austenite growth behavior: insights into the austenite memory phenomenon10.1016/j.commatsci.2016.01.030 ↗
55. Diffuse interfaces with sharp corners and facets: phase field models with strongly anisotropic surfaces10.1016/S0167-2789(97)00177-2 ↗
56. Widmanstatten ferrite formation in iron-carbon alloy
57. Phase field dependent viscoplastic behaviour of solder alloys10.1016/j.ijsolstr.2004.10.008 ↗
58. Phase field simulations of faceted growth for strong anisotropy of kinetic coefficient10.1016/S0022-0248(03)01120-5 ↗
59. Models for precipitate growth during the γ→α+γ transformation in Fe-C and Fe-C-M alloys10.1016/0079-6425(96)00002-3 ↗
60. The crystallography of widmanstätten ferrite10.1016/0001-6160(73)90153-3 ↗
61. A phase-field study of large-scale dendrite fragmentation in Al-Cu10.1016/j.jcrysgro.2012.08.036 ↗
62. Fundamentals of solidification
63. Phase-field simulation of austenite to ferrite transformation and widmanstätten ferrite formation in Fe-C alloy10.2320/matertrans.47.2725 ↗
64. Phase-field modeling of widmanstatten ferrite formation during isothermal transformation in low carbon steels10.1016/j.commatsci.2013.09.001 ↗
65. The study of widmansttten ferrite in FeC alloys by a phase field model coupled with anisotropic elasticity10.1016/j.jallcom.2015.07.278 ↗
66. Phase-field study of grain boundary tracking behavior in crack-seal microstructures10.1007/s00410-013-0950-x ↗
67. Phase-field modeling of fracture cementation processes in 3-D10.12783/jpsr.2015.0402.04 ↗
68. Microstructural evolution in bitaxial crack-seal veins: a phase-field study10.1002/2015JB011934 ↗
69. Anisotropy function of kinetic coefficient for phase-field simulations: reproduction of kinetic Wulff shape with arbitrary face angles
70. Phase-field modeling of epitaxial growth of polycrystalline quartz veins in hydrothermal experiments10.1111/gfl.12144 ↗
71. Computation of the dendritic operating state at large supercoolings by the phase field model10.1103/PhysRevE.53.3760 ↗
72. Surface rippling during solidification of binary polycrystalline alloy: insights from 3-D phase-field simulations
73. Theory of growth of spherical precipitates from solid solution10.1063/1.1698258 ↗