Thermodynamic coupling in the computation of dendrite growth kinetics for multicomponent alloys
Source abstract
Abstract
The growth kinetics of a dendrite tip are of paramount importance for microstructure modeling in materials science and engineering. However, theories for multicomponent alloys are limited, primarily due to approximations in the relevant thermodynamic data. The present contribution first reports on a pragmatic implementation of a general framework coupled with thermodynamic equilibrium calculations. It is applied to the widely used IN718 nickel-base superalloy. Discussions on the output of the model are based on comparisons with the commonly found approximations for multicomponent alloys. Finally, the remaining issues to reach applications at high growth rates are given, paving the way for future developments.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Solidification and crystal growth phenomena · High Temperature Alloys and Creep · Aluminum Alloy Microstructure Properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (90)
Show source-provided references
1. Kurz · 1998
2. Dantzig · 2016
3. Progress in modelling solidification microstructures in metals and alloys: dendrites and cells from 1700 to 200010.1080/09506608.2018.1537090 ↗
4. Progress in modelling solidification microstructures in metals and alloys. Part II: dendrites from 2001 to 201810.1080/09506608.2020.1757894 ↗
5. The redistribution of solute atoms during the solidification of metals10.1016/0001-6160(53)90126-6 ↗
6. Stability of a planar interface during solidification of a dilute binary alloy10.1063/1.1713333 ↗
7. Morphological stability of a planar interface under rapid solidification conditions10.1016/0001-6160(86)90112-4 ↗
8. Solid-liquid interface stability during solidification of dilute ternary alloys
9. Influence des conditions de solidification sur le déroulement de la solidification des aciers inoxydables austénitiques10.1016/0022-0248(88)90216-3 ↗
10. Theory of plane front and dendritic growth in multicomponent alloys10.1016/S1359-6454(01)00313-5 ↗
11. Untersuchungen über dendritisches Wachstum von Kristallen10.1524/zkri.1935.92.1.89 ↗
12. Temperature field around a spherical, cylindrical, and needle-shaped crystal, growing in a pre-cooled melt
13. Dendrites, viscous fingers, and the theory of pattern formation10.1126/science.243.4895.1150 ↗
14. Sekerka · 1967
15. Growth of dendritic needles from a supercooled melt10.1016/0001-6160(70)90143-4 ↗
16. Growth from the melt. III. Dendritic growth10.1063/1.1728359 ↗
17. Stability effects in dendritic crystal growth10.1016/0022-0248(77)90171-3 ↗
18. Dendritic growth – A test of theory10.1007/BF03186673 ↗
19. Theory of dendritic growth10.1016/0001-6160(78)90078-0 ↗
20. Theory of microstructural development during rapid solidification10.1016/0001-6160(86)90056-8 ↗
21. Model for solute redistribution during rapid solidification10.1063/1.329867 ↗
22. Existence of needle crystals in local models of solidification10.1103/PhysRevA.33.435 ↗
23. Pattern selection in fingered growth phenomena10.1080/00018738800101379 ↗
24. Pelcé · 1988
25. Pattern selection in two-dimensional dendritic growth10.1080/00018739100101472 ↗
26. Thermal and grain-structure simulation in a land-based turbine blade directionally solidified with the liquid metal cooling process10.1007/s11663-000-0017-z ↗
27. Construction of a pseudo-binary phase diagram for multi-component Ni-base superalloys10.1016/j.calphad.2012.04.003 ↗
28. Three-dimensional probabilistic simulation of solidification grain structures: Application to superalloy precision castings10.1007/BF02657334 ↗
29. Gilgien · 1996
30. Simulation of constrained dendrite growth of multicomponent alloys using a Calphad method10.1179/026708304225011225 ↗
31. Modeling dendrite growth in undercooled concentrated multi-component alloys10.1016/j.actamat.2013.03.051 ↗
32. Dendrite tip selection during isothermal free growth in multi-component alloys: Marginal stability theories and insights from phase-field simulations,10.1016/j.commatsci.2018.11.028 ↗
33. Phase-field simulation and analytical modelling of CaSiO3 growth in CaO-Al2O3-SiO2 melts10.1016/j.commatsci.2017.12.018 ↗
34. Abramowitz · 1972
35. 2021
36. An investigation on fine-grain formation and structural character in cast IN718 superalloy10.1016/S0924-0136(02)01063-4 ↗
37. Numerical analysis of the weldability of superalloys10.1016/S1359-6454(00)00361-X ↗
38. Electron beam welding of Inconel 71810.1016/j.promfg.2020.05.065 ↗
39. Investigation on the columnar-to-equiaxed transition during laser cladding of IN718 alloy10.1016/j.jmapro.2021.04.016 ↗
40. The microstructure and mechanical properties of deposited-IN718 by selective laser melting10.1016/j.jallcom.2011.10.107 ↗
41. Numerical study of the impact of vaporisation on melt pool dynamics in laser powder bed fusion - application to IN718 and Ti–6Al–4V
42. Comparison of microstructures and mechanical properties of Inconel 718 alloy processed by selective laser melting and casting10.1016/j.msea.2018.03.073 ↗
43. 2021
44. 2021
45. Development of a diffusion mobility database for Ni-base superalloys10.1016/S1359-6454(01)00383-4 ↗
46. Computer simulation studies of finite-size broadening of solid-liquid interfaces: from hard spheres to nickel
47. Solid-liquid interface energy of metals at melting point and undercooled state10.2320/matertrans.43.721 ↗
48. Solid-liquid interfacial energy and melting properties of nickel under pressure from molecular dynamics10.1021/je1007058 ↗
49. Estimation of solid-liquid interfacial energy from gibbs-thomson effect: A molecular dynamics study10.2355/isijinternational.51.1664 ↗
50. Method for computing the anisotropy of the solid-liquid interfacial free energy10.1103/PhysRevLett.86.5530 ↗
51. Kelton · 1991 · vol. 45 · 75
52. Thermodynamic analysis and modification of Gibbs–Thomson equation for melting point depression of metal nanoparticles10.1016/j.cjche.2020.11.035 ↗
53. Phase-field model for isothermal phase transitions in binary alloys10.1103/PhysRevA.45.7424 ↗
54. Relative roles of heat transport and interface rearrangement rates in the rapid growth of crystals in undercooled melts10.1016/0001-6160(82)90134-1 ↗
55. Competitive grain growth and dendrite morphology evolution in selective laser melting of Inconel 718 superalloy10.1016/j.jcrysgro.2019.05.027 ↗
56. Simulation of the solidification of pure nickel via the phase-field method10.1590/S1516-14392006000400002 ↗
57. Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method10.1016/0956-7151(94)00285-P ↗
58. Analytical and numerical predictions of dendritic grain envelopes10.1016/1359-6454(95)00433-5 ↗
59. Three-dimensional cellular automaton-finite element modeling of solidification grain structures for arc-welding processes10.1016/j.actamat.2016.05.011 ↗
60. 3D multi-layer grain structure simulation of powder bed fusion additive manufacturing10.1016/j.actamat.2018.04.030 ↗
61. Numerical prediction of grain structure formation during laser powder bed fusion of 316 L stainless steel10.1016/j.matdes.2020.109434 ↗
62. Growth competition between columnar dendritic grains – Cellular automaton versus phase field modeling10.1016/j.actamat.2018.05.032 ↗
63. Growth competition between columnar dendritic grains - The role of microstructural length scales
64. Application of computational thermodynamics to the evolution of surface tension and gibbs-thomson coefficient during multicomponent aluminum alloy solidification10.4028/www.scientific.net/MSF.869.416 ↗
65. The use of computational thermodynamics for the determination of surface tension and Gibbs–Thomson coefficient of multicomponent alloys JO - Continuum mechanics and thermodynamics10.1007/s00161-018-0670-6 ↗
66. Microstructure formation in rapidly solidified alloys
67. Continuous growth model for interface motion during alloy solidification10.1016/0001-6160(88)90333-1 ↗
68. Solute drag, solute trapping and diffusional dissipation of gibbs energy.Paper based on the Hume–Rothery Lecture presented at the 128th TMS Annual Meeting, 1 March 1999, San Diego, U.S.A.10.1016/S1359-6454(99)00336-5 ↗
69. Fundamentals of dendritic solidification-I. Steady-state tip growth10.1016/0001-6160(81)90115-2 ↗
70. Fundamentals of dendritic solidification-II development of sidebranch structure10.1016/0001-6160(81)90116-4 ↗
71. Cellular automaton study of hydrogen porosity evolution coupled with dendrite growth during solidification in the molten pool of al-cu alloys10.1007/s11661-017-4190-y ↗
72. Cellular automaton simulation of three-dimensional dendrite growth in Al–7Si–Mg ternary aluminum alloys10.1016/j.commatsci.2015.04.035 ↗
73. The solidification of multicomponent alloys10.1007/s11669-015-0416-0 ↗
74. Process modelling of grain selection during the solidification of single crystal superalloy castings10.1016/S0921-5093(99)00701-7 ↗
75. Insight into the mechanisms of columnar to equiaxed grain transition during metallic additive manufacturing
76. Numerical modeling and experimental validation of thermal history and microstructure for additive manufacturing of an Inconel 718 product10.1007/s40964-018-0039-1 ↗
77. Stefanescu · 2009
78. Analytical model for equiaxed globular solidification in multicomponent alloys10.1016/j.actamat.2015.04.030 ↗
79. An analytical model with interaction between species for growth and dissolution of precipitates10.1016/j.actamat.2017.04.035 ↗
80. Oscillatory morphological instabilities due to non-equilibrium segregation10.1016/0022-0248(83)90179-3 ↗
81. Morphological instability in rapid directional solidification10.1016/0956-7151(90)90282-L ↗
82. Complete experimental test of kinetic models for rapid alloy solidification10.1016/S1359-6454(00)00276-7 ↗
83. Numerical solution and comparison to experiment of solute drag models for binary alloy solidification with a planar phase interface10.1016/j.scriptamat.2010.01.041 ↗
84. 2021
85. Banded solidification microstructures10.1007/BF02648951 ↗
86. Application of microstructure-selection maps to droplet solidification: a case study of the Ni–Cu system10.1016/S1359-6454(98)00078-0 ↗
87. Non-equilibrium solidification of undercooled metallic melts10.3390/met4020196 ↗
88. Solidification of undercooled melts of al-based alloys on earth and in space10.1007/s11837-017-2402-y ↗
89. Mechanical and microstructural investigation of nickel-based superalloy IN718 manufactured by selective laser melting (SLM)
90. Effect of selective laser melting (SLM) process parameters on microstructure and mechanical properties of 316L austenitic stainless steel10.1016/j.jmatprotec.2017.05.042 ↗