Stress driving element redistribution and rafting of γ′ phase in Ni–Al–Mo superalloy
Source abstract
Abstract
Servicing as the blade of aircraft engine, Ni-based superalloys suffer the axis stress in working. Driven by the creep strain energy, the γ′-Ni3Al precipitates will be rafted via the element diffusion in Ni-based superalloys, and the rafting of γ′ phase has great effects on the creep properties of the superalloys. By coupling the sublattice free energy and crystal plasticity model, the phase-field modeling is performed to investigate the evolution kinetics of γ′-Ni3Al phase in the Ni–15Al–2Mo (at.%) superalloy under creep stress, and the elements directional diffusions between the γ/γ′ phases are revealed. The increase of Al concentration and the decrease of Mo concentration in the γ channel both promote the directional connection of γ′ phase. An initial stage increase in partition coefficient of $$K_{{{ ext{Mo}}}}^{{gammaprime/gamma }}$$ indicates that the fast rafting rate of γ′ phase repulses the Mo to the connection area of γ′ phases. The effects of diffusion potential including elastic potential and chemical potential on the diffusion and rafting of γ′ phase are clarified. The elements directional diffusion between γ/γ′ phases is driven by the difference of chemical potential and elastic potential between γ phase and γ′ phase, and the elastic contribution to the diffusion of Mo is larger than that of Al and plays a leading role in the rafting of γ′ phase.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: High Temperature Alloys and Creep · Intermetallics and Advanced Alloy Properties · Aluminum Alloy Microstructure Properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (46)
Show source-provided references
1. Betteridge W, Shaw SWK (1987) Development of superalloys. Mater Sci Technol 3(9):682–694. https://doi.org/10.1179/mst.1987.3.9.68210.1179/mst.1987.3.9.682 ↗
2. Ratel N, Bruno G, Bastie P et al (2006) Plastic strain-induced rafting of γ′ precipitates in Ni superalloys: elasticity analysis. Acta Mater 54(19):5087–5093. https://doi.org/10.1016/j.actamat.2006.06.04110.1016/j.actamat.2006.06.041 ↗
3. Cottura M, Appolaire B, Finel A et al (2021) Microstructure evolution under [110] creep in Ni-base superalloys. Acta Mater 212:116851. https://doi.org/10.1016/j.actamat.2021.11685110.1016/j.actamat.2021.116851 ↗
4. Shi Z, Li J, Liu S (2012) Effects of Ru on the microstructure and phase stability of a single crystal superalloy. Int J Min Met Mater 19(11):1004–1009. https://doi.org/10.1007/s12613-012-0661-810.1007/s12613-012-0661-8 ↗
5. Ai C, Li Q, Zhang J et al (2021) Effect of substituting Mo for W on γ/γ′ partitioning behaviors of alloying elements in heat-treated second generation Ni based single crystal superalloys: an atom probe tomography study. Intermetallics 134:107198. https://doi.org/10.1016/j.intermet.2021.10719810.1016/j.intermet.2021.107198 ↗
6. Shi Q, Huo J, Zheng Y et al (2018) Influence of Mo and Ru additions on the creep behavior of Ni-based single crystal superalloys at 1100 °C. Mater Sci Eng A 725:148–159. https://doi.org/10.1016/j.msea.2018.04.02610.1016/j.msea.2018.04.026 ↗
7. Cheng Y, Zhao X, Xia W et al (2022) Effect of Mo on microstructural stability of a 4th generation Ni-based single crystal superalloy. J Mater Res Technol 21:2672–2681. https://doi.org/10.1016/j.jmrt.2022.10.07210.1016/j.jmrt.2022.10.072 ↗
8. Cheng Y, Zhao X, Xia W et al (2022) Effects of Mo addition on microstructure of a 4th generation Ni-based single crystal superalloy. Prog Nat Sci-Mater 32:745–751. https://doi.org/10.1016/j.pnsc.2022.10.00110.1016/j.pnsc.2022.10.001 ↗
9. Song W, Wang XG, Li JG et al (2020) Effect of ruthenium on microstructure and high-temperature creep properties of fourth generation Ni-based single-crystal superalloys. Mater Sci Eng A 772:138646. https://doi.org/10.1016/j.msea.2019.13864610.1016/j.msea.2019.138646 ↗
10. Yuan Y, Kawagishi K, Koizumi Y et al (2014) Creep deformation of a sixth generation Ni-base single crystal superalloy at 800 °C. Mater Sci Eng A 608:95–100. https://doi.org/10.1002/9781119075646.ch7210.1002/9781119075646.ch72 ↗
11. Zhang JX, Wang JC, Harada H et al (2005) The effect of lattice misfit on the dislocation motion in superalloys during high-temperature low-stress creep. Acta Mater 53(17):4623–4633. https://doi.org/10.1016/j.actamat.2005.06.01310.1016/j.actamat.2005.06.013 ↗
12. Yan HJ, Tian SG, Zhao GQ et al (2021) Creep and damage of a Re/Ru-containing single crystal nickel-based alloy at high temperature. Mater Sci Eng A 808:140870. https://doi.org/10.1016/j.msea.202110.1016/j.msea.2021 ↗
13. Wu XX, Makineni SK, Kontis P et al (2018) On the segregation of Re at dislocations in the γ′ phase of Ni-based single crystal superalloys. Materialia 4:109–114. https://doi.org/10.1016/j.mtla.2018.09.01810.1016/j.mtla.2018.09.018 ↗
14. Yue Q, Liu L, Yang W et al (2019) Stress dependence of the creep behaviors and mechanisms of a third-generation Ni-based single crystal superalloy. J Mater Sci Technol 35(5):752–736. https://doi.org/10.1016/j.jmst.2018.11.01510.1016/j.jmst.2018.11.015 ↗
15. Zhang JX, Koizumi Y, Kobayashi T et al (2004) Strengthening by γ/γ′ interfacial dislocation networks in TMS-162—Toward a fifth-generation single-crystal superalloy. Metall Mater Tran A 35(6):1911–1914. https://doi.org/10.1007/s11661-004-0100-110.1007/s11661-004-0100-1 ↗
16. Wen YH, Lill JV, Chen SL et al (2010) A ternary phase-field model incorporating commercial CALPHAD software and its application to precipitation in superalloys. Acta Mater 58:875–885. https://doi.org/10.1016/j.actamat.2009.10.00210.1016/j.actamat.2009.10.002 ↗
17. Zhu JZ, Wang T, Ardell AJ et al (2004) Three-dimensional phase-field simulations of coarsening kinetics of γ′ particles in binary Ni–Al alloys. Acta Mater 52:2837–2845. https://doi.org/10.1016/j.actamat.2004.02.03210.1016/j.actamat.2004.02.032 ↗
18. Wu K, Morral JE, Wang Y (2001) A phase field study of microstructural changes due to the Kirkendall effect in two-phase diffusion couples. Acta Mater 49:3401–3408. https://doi.org/10.1016/S1359-6454(01)00257-910.1016/S1359-6454(01)00257-9 ↗
19. Campbell CE, Boettinger WJ, Kattner UR (2002) Development of a diffusion mobility database for Ni-base superalloys. Acta Mater 50:775–792. https://doi.org/10.1016/S1359-6454(01)00383-410.1016/S1359-6454(01)00383-4 ↗
20. Mohanty RR, Leon A, Sohn YH (2008) Phase-field simulation of interdiffusion microstructure containing fcc-γ and L12-γ′ phases in Ni-Al diffusion couples. Comp Mater Sci 43:301–308. https://doi.org/10.1016/j.commatsci.2007.11.00210.1016/j.commatsci.2007.11.002 ↗
21. Wen YH, Wang B, Simmons JP et al (2006) A phase-field model for heat treatment applications in Ni-based alloys. Acta Mater 54:2087–2099. https://doi.org/10.1016/j.actamat.2006.01.00110.1016/j.actamat.2006.01.001 ↗
22. Li YS, Wang HY, Chen J et al (2022) Temperature gradient driving interdiffusion interface and composition evolution in Ni-Al-Cr alloys. Rare Met 41(9):3186–3196. https://doi.org/10.1007/s12598-022-02024-y10.1007/s12598-022-02024-y ↗
23. Jokisaari AM, Naghavi SS, Wolverton C et al (2017) Predicting the morphologies of γ′ precipitates in cobalt-based superalloys. Acta Mater 141:273–284. https://doi.org/10.1016/j.actamat.2017.09.00310.1016/j.actamat.2017.09.003 ↗
24. Meher S, Nag S, Tiley J et al (2013) Coarsening kinetics of γ′ precipitates in cobalt-base alloys. Acta Mater 61:4266–4276. https://doi.org/10.1016/j.actamat.2013.03.05210.1016/j.actamat.2013.03.052 ↗
25. Poulsen SO, Voorhees PW (2016) Early stage phase separation in ternary alloys: a test of continuum simulations. Acta Mater 113:98–108. https://doi.org/10.1016/j.actamat.2016.04.05410.1016/j.actamat.2016.04.054 ↗
26. Zhu JZ, Liu ZK, Vaithyanathan V et al (2002) Linking phase-field model to CALPHAD: application to precipitate shape evolution in Ni-base alloys. Scripta Mater 46:401–406. https://doi.org/10.1016/S1359-6462(02)00013-110.1016/S1359-6462(02)00013-1 ↗
27. Dupin N, Ansara I, Sundman B (2001) Thermodynamic re-assessment of the ternary system Al–Cr–Ni. Calphad 25:279–298. https://doi.org/10.1016/S0364-5916(01)00049-910.1016/S0364-5916(01)00049-9 ↗
28. Huang WM, Chang YA (1999) Thermodynamic properties of the Ni–Al–Cr system. Intermetallics 7(8):863–874. https://doi.org/10.1016/S0966-9795(98)00138-110.1016/S0966-9795(98)00138-1 ↗
29. Shi SJ, Li YS, Yan ZW et al (2022) Crystal plasticity phase-field simulation of slip system anisotropy during creep of Co–Al–V monocrystal alloy under multidirectional strain. Int J Mech Sci 227:107436. https://doi.org/10.1016/j.ijmecsci.2022.10743610.1016/j.ijmecsci.2022.107436 ↗
30. Khachaturyan AG (1983) Theory of structural transformations in solids. Wiley and Sons, New York
31. Hu SY, Chen LQ (2001) A phase-field model for evolving microstructures with strong elastic inhomogeneity. Acta Mater 49(11):1879–1890. https://doi.org/10.1016/S1359-6454(01)00118-510.1016/S1359-6454(01)00118-5 ↗
32. Wang T, Sheng G, Liu ZK et al (2008) Coarsening kinetics of γ′ precipitates in the Ni-Al-Mo system. Acta Mater 56:5544–5551. https://doi.org/10.1016/j.actamat.2008.07.02410.1016/j.actamat.2008.07.024 ↗
33. Zhang YZ, Yang C, Xu QY (2020) Numerical simulation of microstructure evolution in Ni-based superalloys during P-type rafting using multiphase-field model and crystal plasticity. Comp Mater Sci 172:109331. https://doi.org/10.1016/j.commatsci.2019.10933110.1016/j.commatsci.2019.109331 ↗
34. Wang D, Li Y, Shi S et al (2020) Phase-field simulation of γ′ precipitates rafting and creep property of Co-base superalloys. Mater Des 196: 1–12. https://doi.org/10.1016/j.matdes.2020.10907710.1016/j.matdes.2020.109077 ↗
35. Cahn JW, Hilliard JE (1958) Free energy of a nonuniform system. I. interfacial free energy. J Chem Phys 28:258–267. https://doi.org/10.1063/1.174410210.1063/1.1744102 ↗
36. Ardell AJ (2012) Gradient energy, interfacial energy and interface width. Scripta Mater 66(7):423–426. https://doi.org/10.1016/j.scriptamat.2011.11.04310.1016/j.scriptamat.2011.11.043 ↗
37. Wang JC, Osawa M, Yokokawa T et al (2007) Modeling the microstructural evolution of Ni-base superalloys by phase field method combined with CALPHAD and CVM. Comp Mater Sci 39(4):871–879. https://doi.org/10.1016/j.commatsci.2006.10.01410.1016/j.commatsci.2006.10.014 ↗
38. Chen LQ, Shen J (1998) Applications of semi-implicit Fourier-spectral method to phase field equations. Comp Phys Commun 108(2–3):147–158. https://doi.org/10.1016/S0010-4655(97)00115-X10.1016/S0010-4655(97)00115-X ↗
39. Murakumo T, Kobayashi T, Koizumi Y et al (2004) Creep behavior of Ni-base single-crystal superalloys with various γ′ volume fraction. Acta Mater 52(12):3737–3744. https://doi.org/10.1016/j.actamat.2004.04.02810.1016/j.actamat.2004.04.028 ↗
40. Fährmann M, Hermann W, Fährmann E et al (1999) Determination of matrix and precipitate elastic constants in (γ−γ′) Ni-base model alloys, and their relevance to rafting. Mater Sci Eng A 260(1–2):212–221. https://doi.org/10.1016/S0921-5093(98)00953-810.1016/S0921-5093(98)00953-8 ↗
41. Wu RH, Sandfeld S (2017) A dislocation dynamics-assisted phase field model for nickel-based superalloys: the role of initial dislocation density and external stress during creep. J Alloy Compd 703:389–395. https://doi.org/10.1016/j.jallcom.2017.01.33510.1016/j.jallcom.2017.01.335 ↗
42. Gao SW, Fivel M, Ma AX et al (2015) Influence of misfit stresses on dislocation glide in single crystal superalloys: a three-dimensional discrete dislocation dynamics study. J Mech Phys Solids 76:276–290. https://doi.org/10.1016/j.jmps.2014.11.01510.1016/j.jmps.2014.11.015 ↗
43. Cottura M, Le Bouar Y, Finel A et al (2012) A phase field model incorporating strain gradient viscoplasticity: application to rafting in Ni-base superalloys. J Mech Phys Solids 60:1243–1256. https://doi.org/10.1016/j.jmps.2012.04.00310.1016/j.jmps.2012.04.003 ↗
44. Ofori AP, Humphreys CJ, Tin S et al (2004) A TEM study of the effect of platinum group metals in advanced single crystal nickel-base superalloys. Superalloys TMS. https://doi.org/10.7449/2004/Superalloys_2004_787_79410.7449/2004/Superalloys_2004_787_794 ↗
45. Fleischmann E, Miller MK, Affeldt E et al (2015) Quantitative experimental determination of the solid solution hardening potential of rhenium, tungsten and molybdenum in single-crystal nickel-based superalloys. Acta Mater 87:350–356. https://doi.org/10.1016/j.actamat.2014.12.01110.1016/j.actamat.2014.12.011 ↗
46. Wang HY, Li YS, Zhang XY et al (2021) Composition distribution and kinetics evolution of γ′ phase in Ni-(17–x) Al-x Mo (at.%) alloys. J Mater Res Technol 15:561–571. https://doi.org/10.1016/j.jmrt.2021.08.05310.1016/j.jmrt.2021.08.053 ↗