Skip to main content
Top
Published in: Metallurgical and Materials Transactions A 2/2021

01-01-2021

A Fast-Acting Method for Simulating Precipitation During Heat Treatment of Superalloy 718

Authors: S. L. Semiatin, J. S. Tiley, F. Zhang, T. M. Smith, R. Y. Zhang, H. B. Dong, P. Gadaud, J. Cormier

Published in: Metallurgical and Materials Transactions A | Issue 2/2021

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A fast-acting, mean-field method for simulating precipitation of the γ′′ and γ′ phases during aging of superalloy 718 following super-delta-solvus solution treatment was formulated and validated using observations in the literature. The approach assumed classical (homogeneous) nucleation and diffusion-controlled growth (N&G) of disk/ellipsoidal-shaped-γ′′ and spherical-γ′ particles. For the γ′′ precipitates in particular, the evolution equations for both nucleation and growth incorporated corrections for the non-spherical shape, assuming a fixed aspect ratio. In addition, special attention was paid to the choice of input material properties for simulations. These parameters included the bulk free energies of transformation, particle-matrix (misfit) elastic strain energy (for γ′′), effective diffusivities, and the γ′′–γ and γ′–γ interface energies. The applicability of the diffusivities and interface energies chosen for the N&G simulations was established by their consistency in replicating previously measured rate constants for the diffusion-controlled coarsening of both γ′′ and γ′. The N&G formulation was discretized to obtain numerical (spreadsheet) solutions via the Kampmann–Wagner approach. Simulation results for the temporal evolution of volume fraction and average size of the precipitates showed good agreement with experimental measurements. The sensitivity of model predictions to various input parameters was also quantified.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference M. J. Donachie: Superalloys: Source Book, ASM International, Materials Park, OH, 1984. M. J. Donachie: Superalloys: Source Book, ASM International, Materials Park, OH, 1984.
2.
go back to reference Proc. 13th Inter. Symp. on Superalloys, M. Hardy, E. Huron, U. Glatzel, B. Griffin, B. Lewis, C. Rae, V. Seetharaman, and S. Tin, eds., TMS, Warrendale, PA, 2016. Proc. 13th Inter. Symp. on Superalloys, M. Hardy, E. Huron, U. Glatzel, B. Griffin, B. Lewis, C. Rae, V. Seetharaman, and S. Tin, eds., TMS, Warrendale, PA, 2016.
3.
go back to reference Proc. 9th Inter. Symposium on Superalloy 718 and Derivatives, E. Ott, X. Liu, J. Andersson, Z. Bi, K. Bockenstedt, I. Dempster, J. Groh, K. Heck, P. Jablonski, M. Kaplan, D. Nagahama, and C. Sudbrack, eds., 2018, TMS, Pittsburgh, PA, 2018. Proc. 9th Inter. Symposium on Superalloy 718 and Derivatives, E. Ott, X. Liu, J. Andersson, Z. Bi, K. Bockenstedt, I. Dempster, J. Groh, K. Heck, P. Jablonski, M. Kaplan, D. Nagahama, and C. Sudbrack, eds., 2018, TMS, Pittsburgh, PA, 2018.
4.
go back to reference D. Paulonis and J.J. Schirra: in Superalloys 718, 625, 706, and Various Derivatives, E.A. Loria, ed., TMS, Warrendale, PA, 2001, pp. 13–23. D. Paulonis and J.J. Schirra: in Superalloys 718, 625, 706, and Various Derivatives, E.A. Loria, ed., TMS, Warrendale, PA, 2001, pp. 13–23.
5.
go back to reference R.E. Schafrik, D.D. Ward, and J.R. Groh: in Superalloys 718, 625, 706, and Various Derivatives, E.A. Loria, ed., TMS, Warrendale, PA, 2001, pp. 1–11. R.E. Schafrik, D.D. Ward, and J.R. Groh: in Superalloys 718, 625, 706, and Various Derivatives, E.A. Loria, ed., TMS, Warrendale, PA, 2001, pp. 1–11.
6.
go back to reference J.W. Brooks and P.J. Bridges: in Superalloys 1988, S. Reichman, D.N. Duhl, G. Mauer, S. Antolovich, and C. Lund, eds., TMS, Warrendale, PA, 1988, pp. 33–42. J.W. Brooks and P.J. Bridges: in Superalloys 1988, S. Reichman, D.N. Duhl, G. Mauer, S. Antolovich, and C. Lund, eds., TMS, Warrendale, PA, 1988, pp. 33–42.
7.
go back to reference Oradei-Basile and J.F. Radovich: in Superalloys 718, 625, and Various Derivatives, E.A. Loria, ed., TMS, Warrendale, PA, 1991, pp. 325–35. Oradei-Basile and J.F. Radovich: in Superalloys 718, 625, and Various Derivatives, E.A. Loria, ed., TMS, Warrendale, PA, 1991, pp. 325–35.
8.
go back to reference C.I. Garcia, D.E. Camus, E.A. Loria, and A.J. DeArdo: in Superalloys 718, 625, and Various Derivatives, E.A. Loria, ed., TMS, Warrendale, PA, 1991, pp. 925–41. C.I. Garcia, D.E. Camus, E.A. Loria, and A.J. DeArdo: in Superalloys 718, 625, and Various Derivatives, E.A. Loria, ed., TMS, Warrendale, PA, 1991, pp. 925–41.
9.
go back to reference C.I. Garcia, A.K. Lis, E.A. Loria, and A.J. DeArdo: in Superalloys 1992, S.D. Antolovich, R.W. Stusrud, R.A. MacKay, D.L. Anton, T. Khan, R.D. Kissinger, and D.L. Klarstrom, eds., TMS, Warrendale, PA, 1992, pp. 527–36. C.I. Garcia, A.K. Lis, E.A. Loria, and A.J. DeArdo: in Superalloys 1992, S.D. Antolovich, R.W. Stusrud, R.A. MacKay, D.L. Anton, T. Khan, R.D. Kissinger, and D.L. Klarstrom, eds., TMS, Warrendale, PA, 1992, pp. 527–36.
10.
go back to reference H. Chandler: Heat Treater’s Guide: Practices and Procedures for Nonferrous Alloys, ASM International, Materials Park, OH, 1996. H. Chandler: Heat Treater’s Guide: Practices and Procedures for Nonferrous Alloys, ASM International, Materials Park, OH, 1996.
11.
go back to reference C. Slama and G. Cizeron: J. de Physique III, 1997, vol. 7, pp. 665–688. C. Slama and G. Cizeron: J. de Physique III, 1997, vol. 7, pp. 665–688.
12.
go back to reference A. Thomas, M. El-Wahabi, J.M. Cabrera, and J.M. Prado: J. Mater. Proc. Technol., vol. 177, 2006, pp. 469–472.CrossRef A. Thomas, M. El-Wahabi, J.M. Cabrera, and J.M. Prado: J. Mater. Proc. Technol., vol. 177, 2006, pp. 469–472.CrossRef
13.
14.
go back to reference M. Sundararaman, P. Mukhopadhyay, and S. Banerjee: Metall. Trans. A, 1992, vol. 23A, pp. 2015–2028.CrossRef M. Sundararaman, P. Mukhopadhyay, and S. Banerjee: Metall. Trans. A, 1992, vol. 23A, pp. 2015–2028.CrossRef
15.
go back to reference R.D. Doherty: in Physical Metallurgy, R.W. Cahn and P. Haasen, eds., North-Holland, Amsterdam, 1996, ch. 15. R.D. Doherty: in Physical Metallurgy, R.W. Cahn and P. Haasen, eds., North-Holland, Amsterdam, 1996, ch. 15.
16.
go back to reference T.P. Gabb, D.G. Backman, D.Y. Wei, D.P. Mourer, D.U. Furrer, A. Garg, and D.L. Ellis: in Superalloys 2000, T.M. Pollock, R.D. Kissinger, R.R. Bowman, K.A. Green, M. McLean, S. Olson, and J.J. Schirra, eds., TMS, Warrendale, PA, 2000, pp. 405–14. T.P. Gabb, D.G. Backman, D.Y. Wei, D.P. Mourer, D.U. Furrer, A. Garg, and D.L. Ellis: in Superalloys 2000, T.M. Pollock, R.D. Kissinger, R.R. Bowman, K.A. Green, M. McLean, S. Olson, and J.J. Schirra, eds., TMS, Warrendale, PA, 2000, pp. 405–14.
17.
go back to reference H.J. Jou, P.W. Voorhees, and G.B. Olson: in Superalloys 2004, K.A. Green, T.M. Pollock, H. Harada, T.E. Howson, R.C. Reed, J.J. Schirra, and S. Walston, eds., TMS, Warrendale, PA, 2004, pp. 877–86. H.J. Jou, P.W. Voorhees, and G.B. Olson: in Superalloys 2004, K.A. Green, T.M. Pollock, H. Harada, T.E. Howson, R.C. Reed, J.J. Schirra, and S. Walston, eds., TMS, Warrendale, PA, 2004, pp. 877–86.
18.
go back to reference G.B. Olson, H.J. Jou, J. Jung, J.T. Sebastian, A. Misra, I. Locci, and D. Hull: in Superalloys 2008, R.C. Reed, K.A. Green, P. Caron, T.P. Gabb, M.G. Fahrmann, E.S. Huron, and S.A. Woodard, eds., TMS, Warrendale, PA, 2008, pp. 923–32. G.B. Olson, H.J. Jou, J. Jung, J.T. Sebastian, A. Misra, I. Locci, and D. Hull: in Superalloys 2008, R.C. Reed, K.A. Green, P. Caron, T.P. Gabb, M.G. Fahrmann, E.S. Huron, and S.A. Woodard, eds., TMS, Warrendale, PA, 2008, pp. 923–32.
19.
go back to reference R. Radis, M. Schaffer, M. Albu, G. Kothleitner, P. Polt, and E. Kozeschnik: Acta Mater., 2009, vol. 57, pp. 5739–5747.CrossRef R. Radis, M. Schaffer, M. Albu, G. Kothleitner, P. Polt, and E. Kozeschnik: Acta Mater., 2009, vol. 57, pp. 5739–5747.CrossRef
20.
go back to reference B. Wang, F. Zhang, W. Cao, S. Chen, and S. Kou: Metall. Mater. Trans. A, 2015, vol. 46A, pp. 115–122.CrossRef B. Wang, F. Zhang, W. Cao, S. Chen, and S. Kou: Metall. Mater. Trans. A, 2015, vol. 46A, pp. 115–122.CrossRef
21.
go back to reference S.L. Semiatin, S-L. Kim, F. Zhang, and J.S. Tiley: Metall. Mater. Trans. A, 2015, vol. 46A, pp. 1715–1730.CrossRef S.L. Semiatin, S-L. Kim, F. Zhang, and J.S. Tiley: Metall. Mater. Trans. A, 2015, vol. 46A, pp. 1715–1730.CrossRef
22.
go back to reference S.L. Semiatin, N.C. Levkulich, and J.S. Tiley: Metall. Mater. Trans. A, 2019, vol. 50A, pp. 5281–5296.CrossRef S.L. Semiatin, N.C. Levkulich, and J.S. Tiley: Metall. Mater. Trans. A, 2019, vol. 50A, pp. 5281–5296.CrossRef
23.
go back to reference M.J. Anderson, F. Schulz, Y. Lu, H. Kitaguchi, P. Bowen, C. Argyrakis, and H.C. Basoalto: Acta Mater., 2020, vol. 161, pp. 81–100.CrossRef M.J. Anderson, F. Schulz, Y. Lu, H. Kitaguchi, P. Bowen, C. Argyrakis, and H.C. Basoalto: Acta Mater., 2020, vol. 161, pp. 81–100.CrossRef
24.
go back to reference J.P. Simmons, C. Shen, and Y. Wang: Scripta Mater., 2000, pp. 935–42. J.P. Simmons, C. Shen, and Y. Wang: Scripta Mater., 2000, pp. 935–42.
25.
go back to reference Y.H. Wen, J.P. Simmons, C. Shen, C. Woodward, and Y. Wang: Acta Mater., 2003, vol. 51, pp. 1123–1132.CrossRef Y.H. Wen, J.P. Simmons, C. Shen, C. Woodward, and Y. Wang: Acta Mater., 2003, vol. 51, pp. 1123–1132.CrossRef
26.
go back to reference M. Fleck, F. Schleifer, M. Holzinger, and U. Glatzel: Metall. Mater. Trans. A, 2018, vol. 49A, pp. 4146–4157.CrossRef M. Fleck, F. Schleifer, M. Holzinger, and U. Glatzel: Metall. Mater. Trans. A, 2018, vol. 49A, pp. 4146–4157.CrossRef
27.
go back to reference I.J. Moore, M.G. Burke, and E.J. Palmiere: Acta Mater., 2016, vol. 119, pp. 157–166.CrossRef I.J. Moore, M.G. Burke, and E.J. Palmiere: Acta Mater., 2016, vol. 119, pp. 157–166.CrossRef
28.
go back to reference R. Radis, G.A. Zickler, M. Stockinger, C. Sommitsch, and E. Kozeschnik: in Proc. 7th International Sympsium on Superalloy 718 and Derivatives, E.A. Ott, J.R. Groh, A. Banik, I. Dempster, T.P. Gabb, R. Helmink, X. Liu, A. Mitchell, G.P. Sjoberg, and A. Wusatowska-Sarnek, eds., TMS, Warrendale, PA, 2010, pp. 569–78. R. Radis, G.A. Zickler, M. Stockinger, C. Sommitsch, and E. Kozeschnik: in Proc. 7th International Sympsium on Superalloy 718 and Derivatives, E.A. Ott, J.R. Groh, A. Banik, I. Dempster, T.P. Gabb, R. Helmink, X. Liu, A. Mitchell, G.P. Sjoberg, and A. Wusatowska-Sarnek, eds., TMS, Warrendale, PA, 2010, pp. 569–78.
29.
go back to reference D. Furrer, V. Venkatesh, F. Zhang, D. Gynther, T. Asare, D. Novikov, and S. Burlatsky: in Proc. 8th International Sympsium on Superalloy 718 and Derivatives, E.A. Ott, A. Banik, X. Liu, I. Dempster, K. Heck, J. Andersson, J. Groh, T. Gabb, R. Helmink, and A. Wusatowska-Sarnek, eds., TMS, Warrendale, PA, 2014, pp. 81–94. D. Furrer, V. Venkatesh, F. Zhang, D. Gynther, T. Asare, D. Novikov, and S. Burlatsky: in Proc. 8th International Sympsium on Superalloy 718 and Derivatives, E.A. Ott, A. Banik, X. Liu, I. Dempster, K. Heck, J. Andersson, J. Groh, T. Gabb, R. Helmink, and A. Wusatowska-Sarnek, eds., TMS, Warrendale, PA, 2014, pp. 81–94.
30.
go back to reference F. Zhang, W. Cao, C. Zhang, S. Chen, J. Zhu, and D. Lv; in Proceedings, 9th International Symposium on Superalloy 718 & Derivatives: Energy, Aerospace, and Industrial Applications, E. Ott, ed., TMS, Pittsburgh, 2018, pp. 147–61. F. Zhang, W. Cao, C. Zhang, S. Chen, J. Zhu, and D. Lv; in Proceedings, 9th International Symposium on Superalloy 718 & Derivatives: Energy, Aerospace, and Industrial Applications, E. Ott, ed., TMS, Pittsburgh, 2018, pp. 147–61.
31.
go back to reference A. Drexler, B. Oberwinkler, S. Primig, C. Turk, E. Povoden-Karadeniz, A. Heinemann, W. Ecker, and M. Stockinger: Mater. Sci. Eng. A, 2018, vol. A723, pp. 314–323.CrossRef A. Drexler, B. Oberwinkler, S. Primig, C. Turk, E. Povoden-Karadeniz, A. Heinemann, W. Ecker, and M. Stockinger: Mater. Sci. Eng. A, 2018, vol. A723, pp. 314–323.CrossRef
32.
go back to reference Z.K. Low, T. Chaise, D. Bardel, S. Cazottes, P. Chaudet, M. Perez, and D. Nelias: Acta Mater., 2018, vol. 156, pp. 31–42.CrossRef Z.K. Low, T. Chaise, D. Bardel, S. Cazottes, P. Chaudet, M. Perez, and D. Nelias: Acta Mater., 2018, vol. 156, pp. 31–42.CrossRef
33.
go back to reference H.I. Aaronson and F.K. LeGoues: Metall. Trans. A, 1992, vol. 23, pp. 1915–1945.CrossRef H.I. Aaronson and F.K. LeGoues: Metall. Trans. A, 1992, vol. 23, pp. 1915–1945.CrossRef
34.
go back to reference S.Q. Xiao and P. Haasen: Acta Metall. et Mater., 1991, vol. 39, pp. 651–659.CrossRef S.Q. Xiao and P. Haasen: Acta Metall. et Mater., 1991, vol. 39, pp. 651–659.CrossRef
36.
go back to reference K.S. Chan, J.K. Lee, G.J. Shiflet, K.C. Russell, and H.I. Aaronson: Metall. Trans. A, 1978, vol. 9A, pp. 1016–1017.CrossRef K.S. Chan, J.K. Lee, G.J. Shiflet, K.C. Russell, and H.I. Aaronson: Metall. Trans. A, 1978, vol. 9A, pp. 1016–1017.CrossRef
37.
go back to reference L. Kampmann and M. Kahlweit: Berichte der Bunsen-Gesellschaft Physikalische Chemie, 1970, vol. 94, pp. 456–462. L. Kampmann and M. Kahlweit: Berichte der Bunsen-Gesellschaft Physikalische Chemie, 1970, vol. 94, pp. 456–462.
39.
go back to reference H.B. Aaron, D. Fainstein, and G.R. Kotler: J. Appl. Physics, 1970, vol. 41, pp. 4404–4410.CrossRef H.B. Aaron, D. Fainstein, and G.R. Kotler: J. Appl. Physics, 1970, vol. 41, pp. 4404–4410.CrossRef
40.
go back to reference O. Grong and H.R. Shercliff: Progress in Materials Science, 2002, vol. 47, pp. 163–282.CrossRef O. Grong and H.R. Shercliff: Progress in Materials Science, 2002, vol. 47, pp. 163–282.CrossRef
42.
43.
go back to reference M. Ferrante and R.D. Doherty: Acta Metall., 1979, vol. 27, pp. 1603–1614.CrossRef M. Ferrante and R.D. Doherty: Acta Metall., 1979, vol. 27, pp. 1603–1614.CrossRef
44.
go back to reference S.L. Semiatin, T.M. Lehner, J.D. Miller, R.D. Doherty, and D.U. Furrer: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 910–921.CrossRef S.L. Semiatin, T.M. Lehner, J.D. Miller, R.D. Doherty, and D.U. Furrer: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 910–921.CrossRef
46.
go back to reference I.M. Lifshitz and V.V. Slyozov: J. Phys. Chem. Solids, 1961, vol. 19, pp. 35–51.CrossRef I.M. Lifshitz and V.V. Slyozov: J. Phys. Chem. Solids, 1961, vol. 19, pp. 35–51.CrossRef
47.
go back to reference C. Wagner: Zeit. Elektrochem., 1961, vol. 65, pp. 581–591. C. Wagner: Zeit. Elektrochem., 1961, vol. 65, pp. 581–591.
48.
go back to reference H. A. Calderon, P.W. Voorhees, J.L. Murray, and G. Kostorz: Acta Metall. et Mater., 1994, vol. 42, pp. 991–1000.CrossRef H. A. Calderon, P.W. Voorhees, J.L. Murray, and G. Kostorz: Acta Metall. et Mater., 1994, vol. 42, pp. 991–1000.CrossRef
49.
go back to reference P.W. Voorhees and M.E. Glicksman: Acta Metall., 1984, vol. 32, pp. 2013–2030.CrossRef P.W. Voorhees and M.E. Glicksman: Acta Metall., 1984, vol. 32, pp. 2013–2030.CrossRef
50.
go back to reference J.D. Boyd and R.B. Nicholson: Acta Metall., 1971, vol. 19, pp. 1379–1391.CrossRef J.D. Boyd and R.B. Nicholson: Acta Metall., 1971, vol. 19, pp. 1379–1391.CrossRef
51.
go back to reference C.J. Kuehmann and P.W. Voorhees: Metall. and Mater. Trans A, 1996, vol. 27A, pp. 937–943.CrossRef C.J. Kuehmann and P.W. Voorhees: Metall. and Mater. Trans A, 1996, vol. 27A, pp. 937–943.CrossRef
52.
go back to reference Y.F. Han: M.S. Thesis, University of Manitoba, Winnipeg, Canada, 1981. Y.F. Han: M.S. Thesis, University of Manitoba, Winnipeg, Canada, 1981.
53.
go back to reference Y.F. Han, P. Deb, M.C. Chaturvedi: Metal Sci., 1983, vol, 16, pp. 555–561.CrossRef Y.F. Han, P. Deb, M.C. Chaturvedi: Metal Sci., 1983, vol, 16, pp. 555–561.CrossRef
54.
go back to reference R.B. Li, M. Yao, W.C. Liu, and X.C. He: Scripta Mater., 2002, vol. 46, pp. 635–638.CrossRef R.B. Li, M. Yao, W.C. Liu, and X.C. He: Scripta Mater., 2002, vol. 46, pp. 635–638.CrossRef
55.
go back to reference X. Xie, J. Dong, G. Wang, and W You: in Superalloys 718, 625, 706, and Derivatives, E.A. Loria, ed., TMS, Warrendale, PA, 2005, pp. 287–98. X. Xie, J. Dong, G. Wang, and W You: in Superalloys 718, 625, 706, and Derivatives, E.A. Loria, ed., TMS, Warrendale, PA, 2005, pp. 287–98.
56.
go back to reference T.M. Smith, N.M. Senanayake, C.K. Sudbrack, P. Bonacuse, R.B. Rogers, P. Chao, and J. Carter: Mater. Characterization, 2019, vol. 148, pp. 178CrossRef T.M. Smith, N.M. Senanayake, C.K. Sudbrack, P. Bonacuse, R.B. Rogers, P. Chao, and J. Carter: Mater. Characterization, 2019, vol. 148, pp. 178CrossRef
57.
go back to reference R.Y. Zhang, H.L. Qin, Z.N. Bi, J. Li, S. Paul, T.L. Lee, B. Nenchev, J. Zhang, S. Kabra, J.F. Kelleher, and H.B. Dong: Metall. Mater. Trans. A, 2019, vol. 50A, pp. 5421–5432.CrossRef R.Y. Zhang, H.L. Qin, Z.N. Bi, J. Li, S. Paul, T.L. Lee, B. Nenchev, J. Zhang, S. Kabra, J.F. Kelleher, and H.B. Dong: Metall. Mater. Trans. A, 2019, vol. 50A, pp. 5421–5432.CrossRef
58.
go back to reference R. Lawitzki, S. Hassan, L. Karge J. Wagner, D. Wang, J. von Kobylinski, C. Krempaszky, M. Hofmann, R. Gilles, and G. Schmitz: Acta Mater., 2019, vol. 163, pp. 28–39. R. Lawitzki, S. Hassan, L. Karge J. Wagner, D. Wang, J. von Kobylinski, C. Krempaszky, M. Hofmann, R. Gilles, and G. Schmitz: Acta Mater., 2019, vol. 163, pp. 28–39.
59.
go back to reference M.K. Miller, S.S. Babu, and M.G. Burke: Mater. Sci. Eng. A, 2002, vol. A327, pp. 84–88.CrossRef M.K. Miller, S.S. Babu, and M.G. Burke: Mater. Sci. Eng. A, 2002, vol. A327, pp. 84–88.CrossRef
60.
go back to reference A. Devaux, L. Naze, R. Molins, A. Pineau, A. Organista, J.Y. Guedou, J.F. Uginet, and P. Heritier: Mater. Sci. Eng. A, 2008, vol. A486, pp. 117–122.CrossRef A. Devaux, L. Naze, R. Molins, A. Pineau, A. Organista, J.Y. Guedou, J.F. Uginet, and P. Heritier: Mater. Sci. Eng. A, 2008, vol. A486, pp. 117–122.CrossRef
61.
go back to reference R.Y. Zhang, H.L. Qin, Z.N. Bi, J. Li, S. Paul, T.L. Lee, S.Y. Zhang, J. Zhang, and H.B. Dong: Metall. Mater. Trans. A, 2020, vol. 51A, pp. 1860–1873.CrossRef R.Y. Zhang, H.L. Qin, Z.N. Bi, J. Li, S. Paul, T.L. Lee, S.Y. Zhang, J. Zhang, and H.B. Dong: Metall. Mater. Trans. A, 2020, vol. 51A, pp. 1860–1873.CrossRef
62.
go back to reference C.E. Campbell, J.C. Zhao, and M.F. Henry: J. Phase Equilibria and Diffusion, 2004, vol. 25, pp. 6–15.CrossRef C.E. Campbell, J.C. Zhao, and M.F. Henry: J. Phase Equilibria and Diffusion, 2004, vol. 25, pp. 6–15.CrossRef
63.
go back to reference M.S.A. Karunaratne, D.C. Cox, P. Carter, and R.C. Reed: in Superalloys 2000, T.M. Pollock, R.D. Kissinger, R.R. Bowman, K.A. Green, M. McLean, S. Olson, and J.J. Schirra, eds., TMS, Warrendale, PA, 2000, pp. 263–72. M.S.A. Karunaratne, D.C. Cox, P. Carter, and R.C. Reed: in Superalloys 2000, T.M. Pollock, R.D. Kissinger, R.R. Bowman, K.A. Green, M. McLean, S. Olson, and J.J. Schirra, eds., TMS, Warrendale, PA, 2000, pp. 263–72.
64.
go back to reference S.L. Semiatin, N.C. Levkulich, A.R.C. Gerlt, E.J. Payton, J.S. Tiley, F. Zhang, R.A. MacKay, R.V. Miner, and T.P. Gabb: Metall. Mater. Trans. A, 2019, vol. 50A, pp. 2289–2301.CrossRef S.L. Semiatin, N.C. Levkulich, A.R.C. Gerlt, E.J. Payton, J.S. Tiley, F. Zhang, R.A. MacKay, R.V. Miner, and T.P. Gabb: Metall. Mater. Trans. A, 2019, vol. 50A, pp. 2289–2301.CrossRef
65.
66.
go back to reference G. Xu, Y. Liu, and Z. Kang: Metall. Mater. Trans. B, 2016, vol. 47B, pp. 3126–3133.CrossRef G. Xu, Y. Liu, and Z. Kang: Metall. Mater. Trans. B, 2016, vol. 47B, pp. 3126–3133.CrossRef
67.
go back to reference J.A. Nesbitt and R.W. Heckel: Metall. Trans. A, 1987, vol. 18A, pp. 2061–2073.CrossRef J.A. Nesbitt and R.W. Heckel: Metall. Trans. A, 1987, vol. 18A, pp. 2061–2073.CrossRef
68.
go back to reference K. Kulkarni, G.P.S. Chauhan: AIP Advances, 2015, vol. 5 (097162), pp. 1–7. K. Kulkarni, G.P.S. Chauhan: AIP Advances, 2015, vol. 5 (097162), pp. 1–7.
69.
go back to reference C.K. Sudbrack, R.D. Noebe, D.N. Seidman: Acta Mater. 2007, vol. 55, pp. 119–130.CrossRef C.K. Sudbrack, R.D. Noebe, D.N. Seidman: Acta Mater. 2007, vol. 55, pp. 119–130.CrossRef
70.
go back to reference S.L. Semiatin, F. Zhang, R. Larsen, L.A. Chapman, and D.U. Furrer: Integrating Mater. Mfg. Innovation, 2016, vol. 5, no. 3, pp. 1–20. S.L. Semiatin, F. Zhang, R. Larsen, L.A. Chapman, and D.U. Furrer: Integrating Mater. Mfg. Innovation, 2016, vol. 5, no. 3, pp. 1–20.
71.
go back to reference R. Wagner and R. Kampmann: in Materials Science and Technology, Vol. 5, P. Haasen, ed., VCH, Weinheim, Germany, 1991, pp. 213–303. R. Wagner and R. Kampmann: in Materials Science and Technology, Vol. 5, P. Haasen, ed., VCH, Weinheim, Germany, 1991, pp. 213–303.
72.
go back to reference M. Perez, M. Dumont, and D. Acevedo-Reyes: Acta Mater., 2008, vol. 56, pp. 2119–2132.CrossRef M. Perez, M. Dumont, and D. Acevedo-Reyes: Acta Mater., 2008, vol. 56, pp. 2119–2132.CrossRef
73.
go back to reference J. Cormier, P. Gadaud, M. Czaplicki, R.Y. Zhang, H.B. Dong, T.M. Smith, F. Zhang, J.S. Tiley, and S.L. Semiatin: Metall. Mater. Trans. A, 2020, in press. J. Cormier, P. Gadaud, M. Czaplicki, R.Y. Zhang, H.B. Dong, T.M. Smith, F. Zhang, J.S. Tiley, and S.L. Semiatin: Metall. Mater. Trans. A, 2020, in press.
74.
go back to reference D. Bardel, M. Perez, D. Nelias, A. Deschamps, C.R. Hutchinson, D. Maisonette, T. Chaise, J. Garnier, and F. Bourlier: Acta Mater., 2014, vol. 62, pp. 129–140.CrossRef D. Bardel, M. Perez, D. Nelias, A. Deschamps, C.R. Hutchinson, D. Maisonette, T. Chaise, J. Garnier, and F. Bourlier: Acta Mater., 2014, vol. 62, pp. 129–140.CrossRef
75.
go back to reference D. den Ouden, L. Zhao, C. Vuik, J. Sietsma, and F.J. Vermolen: Comp. Mater. Sci., 2013, vol.79, pp. 933–43.CrossRef D. den Ouden, L. Zhao, C. Vuik, J. Sietsma, and F.J. Vermolen: Comp. Mater. Sci., 2013, vol.79, pp. 933–43.CrossRef
Metadata
Title
A Fast-Acting Method for Simulating Precipitation During Heat Treatment of Superalloy 718
Authors
S. L. Semiatin
J. S. Tiley
F. Zhang
T. M. Smith
R. Y. Zhang
H. B. Dong
P. Gadaud
J. Cormier
Publication date
01-01-2021
Publisher
Springer US
Published in
Metallurgical and Materials Transactions A / Issue 2/2021
Print ISSN: 1073-5623
Electronic ISSN: 1543-1940
DOI
https://doi.org/10.1007/s11661-020-06092-6

Other articles of this Issue 2/2021

Metallurgical and Materials Transactions A 2/2021 Go to the issue

Topical Collection: Innovations in High Entropy Alloys and Bulk Metallic Glasses

Machine Learning Approach to Design High Entropy Alloys with Heterogeneous Grain Structures

Premium Partners