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Thermodynamic re-assessment of the Ti–Al–Nb system

  • Damian M. Cupid , Olga Fabrichnaya , Orlando Rios , Fereshteh Ebrahimi und Hans J. Seifert
Veröffentlicht/Copyright: 11. Juni 2013
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International Journal of Materials Research
Aus der Zeitschrift International Journal of Materials Research Band 100 Heft 2

Abstract

A CALPHAD based re-assessment of the thermodynamic description of the Ti – Al – Nb system was performed to take into account experimental evidence of the extension of the primary crystallization of the -phase to higher Al contents. The adjustable parameters of the analytic expressions of the Gibbs free energy for the Liquid, β-, β0-, δ-, σ-, γ-, α-, and 2-phases were re-optimized using available experimental data from a critical assessment of the literature. The calculated primary crystallization of -phase is in better agreement with experiment although the extension of the single phase -field to higher Al compositions could not be calculated. Calculated isothermal sections are in good agreement with experiment in the temperature range 1923 K to 1273 K.

Keywords: CALPHAD; Ti – Al – Nb; Phase equilibria; Modeling; Thermodynamics
* Correspondence address, Damian M. Cupid Institute of Materials Science Freiberg University of Mining and Technology Gustav-Zeuner-Straße 5, D-09599 Freiberg, Germany Tel.: +49 3731 39 31 56 Fax: +49 3731 39 36 57 E-mail:

References

[1] T.H.Yu, C.H.Koo: Scr. Metall.39 (1998) 915.Suche in Google Scholar

[2] F.S.Sun, C.X.Cao, S.E.Kim, Y.T.Lee, M.G.Yan: Metall. Mater. Trans. A32 (2001) 1573.Suche in Google Scholar

[3] C.T.Yang, Y.C.Lu, C.H.Koo: Intermetallics10 (2002) 161.Suche in Google Scholar

[4] X.J.Xu, L.H.Xu, J.P.Lin, Y.L.Wang, Z.Lin, G.L.Chen: Intermetallics13 (2005) 337.Suche in Google Scholar

[5] F.Ebrahimi, D.T.Hoelzer, J.R.Castillo-Gomez: Mater. Sci. Eng. A171 (1993) 35.Suche in Google Scholar

[6] B.J.G.d'Aragão, F.Ebrahimi: Mater. Sci. Eng. A208 (1996) 37.Suche in Google Scholar

[7] N.Saunders, P.Miodwnik, in: R.W.Cahn (Ed.), CALPHAD (Calculation of Phase Diagrams): A comprehensive guide, Pergamon (1998).Suche in Google Scholar

[8] H.L.Lukas, S.G.Fries, B.Sundman: Computational thermodynamics: The Calphad method, Cambridge University Press, Cambridge (2007).Suche in Google Scholar

[9] U.R.Kattner, W.J.Boettinger: Mater. Sci. Eng. A152 (1992) 9.Suche in Google Scholar

[10] C.Servant, I.Ansara: Ber. Bunsenges. Phys. Chem.102 (1998) 1189.Suche in Google Scholar

[11] C.Servant, I.Ansara: CALPHAD25 (2001) 509.Suche in Google Scholar

[12] K.J.Leonard, J.C.Mishurda, V.K.Vasudevan: Metall. Mater. Trans. B31 (2000) 1305.Suche in Google Scholar

[13] C.R.Feng, D.J.Michel: Mater. Sci. Eng. A152 (1992) 202.Suche in Google Scholar

[14] K.J.Leonard, V.K.Vasudevan: Intermetallics8 (2000) 1257.Suche in Google Scholar

[15] O.Rios, S.Goyel, M.S.Kesler, D.M.Cupid, H.J.Seifert, F.Ebrahimi: Scripta Mater.60 (2009) 156.Suche in Google Scholar

[16] V.T.Witusiewicz, A.A.Bondar, U.Hecht, T.Y.Velikanova: J. Alloys Compd. (2008). DOI:10.1016/j.jallcom.2008.05.00810.1016/j.jallcom.2008.05.008Suche in Google Scholar

[17] D.Banerjee, T.K.Nandy, A.K.Gogia: Scr. Metall.21 (1987) 597.Suche in Google Scholar

[18] D.-H.Hou, H.L.Fraser: Scripta Mater.36 (1997) 617.Suche in Google Scholar

[19] V.Chaumat, E.Ressouche, B.Ouladdiaf, P.Desre, F.Moret: Scripta Mater.40 (1999) 905.Suche in Google Scholar

[20] K.J.Leonard, V.K.Vasudevan: Mater. Sci. Eng. A329 (2002) 461.Suche in Google Scholar

[21] D.G.Konitzer, I.P.Jones, H.L.Fraser: Scr. Metall.20 (1986) 265.Suche in Google Scholar

[22] D.Banerjee, A.K.Gogia, T.K.Nandi, V.A.Joshi: Acta Metall.36 (1988) 871.Suche in Google Scholar

[23] H.T.Kestner-Weykamp, C.H.Ward, T.F.Broderick, M.J.Kaufman: Scr. Metall.23 (1989) 1697.Suche in Google Scholar

[24] B.Mozer, L.A.Bendersky, W.J.Boettinger, R.G.Rowe: Scr. Metall. Mater.24 (1990) 2363.Suche in Google Scholar

[25] K.Muraleedharan, S.V.N.Naidu, D.Banerjee: Scr. Metall. Mater.24 (1990) 27.Suche in Google Scholar

[26] L.A.Bendersky, W.J.Boettinger, A.Roytburd: Acta Metall. Mater.39 (1991) 1959.Suche in Google Scholar

[27] L.A.Bendersky, W.J.Boettinger, F.S.Biancaniello: Mater. Sci. Eng. A152 (1992) 41.Suche in Google Scholar

[28] K.Muraleedharan, T.K.Nandy, D.Banerjee, S.Lele: Metall. Trans. A23 (1992)10.1007/BF02801159Suche in Google Scholar

[29] C.G.Rhodes, J.A.Graves, P.R.Smith, M.R.James, in: R.Darolia, J.J.Lewandowski, C.T.Liu, P.L.Martin, D.B.Miracle, M.V.Nathal (Eds.), Structural Intermetallics, The Minerals, Metals, and Materials Society (1993) 45.Suche in Google Scholar

[30] L.A.Bendersky, A.Roytburd, W.J.Boettinger: Acta Metall. Mater.42 (1994) 2323.Suche in Google Scholar

[31] L.A.Bendersky, W.J.Boettinger, A.Roytburd: Acta Metall. Mater.42 (1994) 2337.Suche in Google Scholar

[32] K.Muraleedharan, T.K.Nandy, D.Banerjee: Intermetallics3 (1995) 187.Suche in Google Scholar

[33] C.J.Boehlert, B.S.Majumdar, V.Seetharaman, D.B.Miracle: Metall. Mater. Trans. A30 (1999) 2306.Suche in Google Scholar

[34] J.C.Mishurda, V.K.Vasudevan: Scripta Mater.45 (2001) 677.Suche in Google Scholar

[35] F.A.Sadi, C.Servant, G.Cizeron: Mater. Sci. Eng. A311 (2001) 185.Suche in Google Scholar

[36] B.Wu, J.Shen, M.Chu, S.Shang, Z.Zhang, D.Peng, S.Liu: Intermetallics10 (2002) 979.Suche in Google Scholar

[37] F.A.Sadi, C.Servant: Mater. Sci. Eng. A346 (2003) 19.Suche in Google Scholar

[38] B.Wu, M.Zinkevich, F.Aldinger, M.Chu, J.Shen: Intermetallics16 (2008) 42.Suche in Google Scholar

[39] R.Styrchor, J.C.Williams, W.A.Soffa: Metall. Trans. A19 (1988) 225.Suche in Google Scholar

[40] L.A.Bendersky, W.J.Boettinger, B.P.Burton: Acta Metall. Mater.38 (1990) 931.Suche in Google Scholar

[41] L.A.Bendersky, B.P.Burton, W.J.Boettinger, F.S.Biancaniello: Scr. Metall. Mater.24 (1990) 1541.Suche in Google Scholar

[42] C.B.Shoemaker, D.P.Shoemaker, L.A.Bendersky: Acta Cryst.C46 (1990) 374.Suche in Google Scholar

[43] J.H.Perepezko, Y.A.Chang, L.E.Seitzman, J.C.Lin, N.R.Bonda, T.J.Jewett, J.C.Mishurda, in: S.H.Wang, C.T.Liu, D.P.Pope, J.O.Stiegler (Eds.), High Temperature Aluminides and Intermetallics, The Minerals, Metals and Materials Society (1989) 19.Suche in Google Scholar

[44] A.G.Jackson, D.S.Lee: Scr. Metall. Mater.26 (1992)Suche in Google Scholar

[45] G.L.Chen, J.G.Wang, Z.Q.Sun, H.Q.Ye: Intermetallics2 (1994) 31.Suche in Google Scholar

[46] G.L.Chen, X.T.Wang, K.Q.Ni, S.M.Hao, J.X.Cao, J.J.Ding, X.Zhang: Intermetallics4 (1996) 13.Suche in Google Scholar

[47] G.L.Chen, J.G.Wang, X.T.Wang, X.D.Ni, S.M.Hao, J.J.Ding: Intermetallics6 (1998) 323.Suche in Google Scholar

[48] J.J.Ding, S.M.Hao: Intermetallics6 (1998) 329.Suche in Google Scholar

[49] G.L.Chen, J.G.Wang, X.D.Ni, J.P.Lin, Y.L.Wang: Intermetallics13 (2005) 329.Suche in Google Scholar

[50] H.W.Liu, Y.Yuan, Z.G.Liu, J.-M.Liu, X.N.Zhao, Y.Y.Zhu: Mater. Sci. Eng. A412 (2005) 328.Suche in Google Scholar

[51] H.-W.Liu, C.-P.Luo, Y.Yuan, J.-M.Liu, Z.-G.Liu: Intermetallics15 (2007) 1497.Suche in Google Scholar

[52] T.J.Jewett: Intermetallics5 (1997) 157.10.1016/S0966-9795(96)00076-3Suche in Google Scholar

[53] K.Kaltenbach, S.Gama, D.G.Pinatti, K.Schulze, E.-T.Henig: Z. Metallkd.80 (1989) 535.Suche in Google Scholar

[54] A.Zdziobek, M.Durand-Charre, F.D. J.Driole: Z. Metallkd.86 (1995) 224.Suche in Google Scholar

[55] V.Raghavan: J. Phase Equlib.26 (2005) 360.10.1361/154770305X56827Suche in Google Scholar

[56] X.T.Wang, G.L.Chen, K.Q.Ni, S.M.Hao: J. Phase Equilib.19 (1998) 200.Suche in Google Scholar

[57] S.Das, T.J.Jewett, J.H.Perepezko, in: R.Darolia, J.J.Lewandowski, C.T.Liu, P.L.Martin, D.B.Miracle, M.V.Nathal (Eds.), Structural Intermetallics, The Minerals, Metals, and Materials Society (1993) 35.Suche in Google Scholar

[58] A.Hellwig, A.Palm, G.Inden: Intermetallics (1998) 79.10.1016/S0966-9795(97)00043-5Suche in Google Scholar

[59] C.Suryanarayana, D.S.Lee: Scr. Metall. Mater.26 (1992) 919.Suche in Google Scholar

[60] M.Kimura, K.Hashimoto, H.Morikawa: Mat. Sci. Eng. A152 (1992) 54.Suche in Google Scholar

[61] E.S.K.Menon, P.R.Subramanian, D.M.Dimiduk: Scr. Metall. Mater.27 (1992) 265.Suche in Google Scholar

[62] H.Nakamura, M.Takeyama, Y.Yamabe, M.Kikuchi: Scr. Metall. Mater.28 (1993) 997.Suche in Google Scholar

[63] D.B.Miracle, C.G.Rhodes, M.A.Foster, in: P.A.Blenkinsop, W.J.Evans, H.M.Flower (Eds.), Titanium 1995, The University Press (1996) 372.Suche in Google Scholar

[64] E.S.K.Menon, P.R.Subramanian, D.M.Dimiduk: Metall. Mater. Trans. A27 (1996) 1647.Suche in Google Scholar

[65] M.Eckert, D.Kath, K.Hilpert: Metall. Mater. Trans. A30 (1999) 1315.Suche in Google Scholar

[66] Y.L.Hao, R.Yang, Y.Y.Cui, D.Li: Intermetallics8 (2000) 633.Suche in Google Scholar

[67] R.Kainuma, Y.Fujita, H.Mitsui, I.Ohnuma, I.Ishida: Intermetallics8 (2000) 855.Suche in Google Scholar

[68] K.J.Leonard, J.C.Mishurda, V.K.Vasudevan: Mat. Sci. Eng. A329 (2002) 282.Suche in Google Scholar

[69] H.F.Chladil, H.Clemens, H.Leitner, A.Bartels, R.Gerling, F.-P.Schimansky, S.Kremmer: Intermetallics14 (2006) 1194.Suche in Google Scholar

[70] N.V.Kazantseva, S.V.Lepikhin: Phys. Met. Metallogr.102 (2006) 169.Suche in Google Scholar

[71] O.Redlich, A.T.Kister: Ind. Eng. Chem.40 (1948) 345.Suche in Google Scholar

[72] M.Hillert: CALPHAD4 (1980) 1.10.1016/0364-5916(80)90016-4Suche in Google Scholar

[73] M.Hillert: J. Alloys Compd.320 (2001) 161.10.1016/S0925-8388(00)01481-XSuche in Google Scholar

[74] I.Ansara, N.Dupin, H.L.Lukas, B.Sundman: J. Alloys Compd.247 (1997) 20.Suche in Google Scholar

[75] I.Ansara, B.Sundman, P.Willemin: Acta Metall.36 (1988) 977.Suche in Google Scholar

[76] N.Dupin, I.Ansara: Z. Metallkd.90 (1999) 76.Suche in Google Scholar

[77] N.Dupin, I.Ansara, B.Sundman: CALPHAD25 (2001) 279.Suche in Google Scholar

[78] B.Jansson: Ph.D. Thesis, Royal Institute of Technology, Stockholm (1983).Suche in Google Scholar

[79] J.-O.Andersson, T.Helander, L.Höglund, P.Shi, B.Sundman: CALPHAD26 (2002) 273.Suche in Google Scholar

[80] N.Saunders, in: I.Ansara (Ed.), COST507, European Commission (1994).Suche in Google Scholar

[81] K.C.H.Kumar, P.Wollants, L.Delany: CALPHAD18 (1994) 71.Suche in Google Scholar

[82] C.Servant, I.Ansara: J. Chim. Phys.94 (1997) 869.Suche in Google Scholar

[83] J.C.Schuster, M.Palm: J. Phase Equilib.27 (2006) 255.Suche in Google Scholar

[84] V.T.Witusiewicz, A.A.Bondar, U.Hecht, S.Rex, T.Y.Velikanova: J. Alloys Compd.465 (2008) 64.Suche in Google Scholar

[85] Z.Zhu, Y.Du, L.Zhang, H.Chen, H.Xu, C.Tang: J. Alloys Compd.460 (2008) 632.Suche in Google Scholar

[86] O.Rios, F.Ebrahimi: personal communication.Suche in Google Scholar

Received: 2008-9-16
Accepted: 2008-12-1
Published Online: 2013-06-11
Published in Print: 2009-02-01

© 2009, Carl Hanser Verlag, München

Artikel in diesem Heft

  1. Contents
  2. Contents
  3. Feature
  4. Materials constitution and computational thermodynamics in the context of 100 years of IJMR – Zeitschrift für Metallkunde
  5. Upgrading CALPHAD to microstructure simulation: the phase-field method
  6. Prediction, determination and validation of phase diagrams via the global study of energy landscapes
  7. Alloy development using modern tools
  8. Phase equilibria and thermal analysis in the Fe–Mn–Ni system
  9. Integrated approach to thermodynamics, phase relations, liquid densities and solidification microstructures in the Al–Bi–Cu system
  10. Formation of clathrates Ba–M–Ge(M = Mn, Fe, Co)
  11. New paradigm of a metastable phase diagram presenting structural transformations induced by annealing of Si–C–N amorphous ceramics derived from polymer precursors
  12. Basic
  13. Thermodynamic assessment of the Ce–Si, Y–Si, Mg–Ce–Si and Mg–Y–Si systems
  14. Thermodynamic re-assessment of the Ti–Al–Nb system
  15. Effect of varying oxygen partial pressure on the properties of reactively evaporated zinc aluminate thin films
  16. Applied
  17. Matrix induced synthesis of Y3Al5O12: Ce phosphor through the Pechini method
  18. Microstructure and room temperature compressive properties of holmium doped DS NiAl-Cr(Mo)-Hf eutectic alloy
  19. Evaporation mechanism of aluminum during electron beam cold hearth melting of Ti64 alloy
  20. 560°C isothermal section of the Zn–Fe–Ni–Si quaternary system at the zinc-rich corner
  21. DGM News
  22. Personal
https://doi.org/10.3139/146.110015
Schlagwörter für diesen Artikel
CALPHAD; Ti – Al – Nb; Phase equilibria; Modeling; Thermodynamics

Artikel in diesem Heft

  1. Contents
  2. Contents
  3. Feature
  4. Materials constitution and computational thermodynamics in the context of 100 years of IJMR – Zeitschrift für Metallkunde
  5. Upgrading CALPHAD to microstructure simulation: the phase-field method
  6. Prediction, determination and validation of phase diagrams via the global study of energy landscapes
  7. Alloy development using modern tools
  8. Phase equilibria and thermal analysis in the Fe–Mn–Ni system
  9. Integrated approach to thermodynamics, phase relations, liquid densities and solidification microstructures in the Al–Bi–Cu system
  10. Formation of clathrates Ba–M–Ge(M = Mn, Fe, Co)
  11. New paradigm of a metastable phase diagram presenting structural transformations induced by annealing of Si–C–N amorphous ceramics derived from polymer precursors
  12. Basic
  13. Thermodynamic assessment of the Ce–Si, Y–Si, Mg–Ce–Si and Mg–Y–Si systems
  14. Thermodynamic re-assessment of the Ti–Al–Nb system
  15. Effect of varying oxygen partial pressure on the properties of reactively evaporated zinc aluminate thin films
  16. Applied
  17. Matrix induced synthesis of Y3Al5O12: Ce phosphor through the Pechini method
  18. Microstructure and room temperature compressive properties of holmium doped DS NiAl-Cr(Mo)-Hf eutectic alloy
  19. Evaporation mechanism of aluminum during electron beam cold hearth melting of Ti64 alloy
  20. 560°C isothermal section of the Zn–Fe–Ni–Si quaternary system at the zinc-rich corner
  21. DGM News
  22. Personal
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