Home Modelling of the β → α + β transformation in a metastable β Ti alloy based on the growth kinetics and the morphology of the α plates
Article
Licensed
Unlicensed Requires Authentication

Modelling of the β → α + β transformation in a metastable β Ti alloy based on the growth kinetics and the morphology of the α plates

  • Stefan M. C. van Bohemen , Menno van der Laars , Jilt Sietsma and Sybrand van der Zwaag
Published/Copyright: May 23, 2013
Become an author with De Gruyter Brill
Author Information
International Journal of Materials Research
From the journal International Journal of Materials Research Volume 98 Issue 6

Abstract

The kinetics of the isothermal β → α + β transformation in a metastable β titanium alloy has been studied by dilatometry. Based on thermodynamic aspects, the volume diffusion of Mo in the titanium matrix ahead of the interface, the interface mobility, and the morphology of the primary α plates, a transformation model is developed, which incorporates mixed-mode behaviour of the transformation in the initial stage. Fraction curves are calculated based on the simulated growth of a typical α plate within the β phase having a volume determined from the nucleus density. For comparison, fraction curves are calculated using a three-dimensional model of the β grain in which a number of plates are simulated to grow with purely diffusion-controlled kinetics. It is shown that the calculated growth rate with the mixed-mode transformation model gives a better representation of the growth rate at the start of the transformation than the purely diffusion-controlled model.

Keywords: Titanium alloys; Modelling; Dilatometry; Phase transformation kinetics; Interface migration
* Correspondence address, Dr. Stefan M. C. van Bohemen, Delft University of Technology, Dept. of Materials Science and Engineering, Mekelweg 2, NL-2628 CD Delft, The Netherlands, Tel.: +31 15 278 4984, Fax: +31 15 278 6730, E-mail:

References

[1] R.R.Boyer: Beta titanium alloys in 19909s, TMS, Warrendale, PA, 1997.Search in Google Scholar

[2] G.Lütjering: Mater. Sci. Eng. A263 (1999) 117.10.1016/S0921-5093(98)01169-1Search in Google Scholar

[3] S.Ankem, C.A.Greene: Mater. Sci. Eng. A263 (1999) 127.10.1016/S0921-5093(98)01170-8Search in Google Scholar

[4] W.J.Evans: Mater. Sci. Eng. A243 (1998) 89.10.1016/S0921-5093(97)00784-3Search in Google Scholar

[5] R.R.Boyer, H.J.Rack, V.Venkatesh: Mater. Sci. Eng. A243 (1998) 97.10.1016/S0921-5093(97)00785-5Search in Google Scholar

[6] B.Appolaire, L.Hericher, E.Gautier: Acta Mater.53 (2005) 3001.10.1016/j.actamat.2005.03.014Search in Google Scholar

[7] S.L.Semiatin, S.L.Knisley, P.N.Fagin, F.Zhang, D.R.Barker: Metall. Mater. Trans. A34 (2003) 2377.10.1007/s11661-003-0300-0Search in Google Scholar

[8] I.Katzarov, S.Malinov, W.Sha: Metall. Mater. Trans. A33 (2002) 1027.10.1007/s11661-002-0204-4Search in Google Scholar

[9] J.Sietsma, S.van der Zwaag: Acta Mater.52 (2004) 4143.10.1016/j.actamat.2004.05.027Search in Google Scholar

[10] J.Sietsma, M.G.Mecozzi, S.M.C.van Bohemen, S.van der Zwaag: Int. J. Mat. Res.97 (2006) 357.Search in Google Scholar

[11] M.G.Mecozzi, J.Sietsma, S.van der Zwaag: Metall. Mater. Trans. A36 (2005) 2327.10.1007/s11661-005-0105-4Search in Google Scholar

[12] W.F.Gale, T.C.Totemeier: Smithells Metals Reference Book, Elsevier Butterworth-Heinemann, London, 2004.Search in Google Scholar

[13] C.Zener: Trans. AIME167 (1946) 550.Search in Google Scholar

[14] M.Hillert: Met. Trans. A6 (1974) 5.10.1007/BF02673664Search in Google Scholar

[15] R.Trivedi: Met. Trans. A1 (1970) 921.10.1007/BF02811774Search in Google Scholar

[16] W.A.Johnson, R.F.Mehl: TMS AIME135 (1939) 416.Search in Google Scholar

[17] M.Avrami: J. Chem. Phys.7 (1939) 1103.10.1063/1.1750380Search in Google Scholar

[18] Y.van Leeuwen, S.Vooijs, J.Sietsma, S.van der Zwaag: Metall. Mater. Trans. A29 (1998) 2925.10.1007/s11661-998-0199-6Search in Google Scholar

[19] S.Azimzadeh, H.J.Rack: Metall. Mater. Trans. A29 (1998) 2455.10.1007/s11661-998-0217-8Search in Google Scholar

[20] T.A.Kop, J.Sietsma, S.van der Zwaag: J. Mater. Sc.36 (2001) 519.10.1023/A:1004805402404Search in Google Scholar

[21] H.I.Aaronson, W.B.Triplett, G.MAndes: TMS AIME209 (1957) 1227.Search in Google Scholar

[22] S.M.C.van Bohemen, J.Sietsma, S.van der Zwaag: Phys. Rev. B74 (2006) 134114.10.1103/PhysRevB.74.134114Search in Google Scholar

Received: 2006-10-20
Accepted: 2007-3-26
Published Online: 2013-05-23
Published in Print: 2007-06-01

© 2007, Carl Hanser Verlag, München

Articles in the same Issue

  1. Contents
  2. Contents
  3. Basic
  4. The effect of bismuth segregation on the faceting of Σ3 and Σ9 coincidence boundaries in copper bicrystals
  5. Viscosity measurement of liquid ternary Cu–Ni–Fe alloys by an oscillating cup viscometer and comparison with models
  6. Isothermal oxidation behavior of a precipitation-hardened Pt-base alloy with additions of Al, Cr and Ni
  7. Bismuth activity measurements and thermodynamic re-optimization of the Ni–Bi System
  8. Modelling of the β → α + β transformation in a metastable β Ti alloy based on the growth kinetics and the morphology of the α plates
  9. The microstructure of ball milled nanocrystalline vanadium; variation of the crystal imperfection and the lattice parameter
  10. Study of interfacial reactions between Sn–Ag–Cu alloys and Au substrate
  11. Applied
  12. On the precipitation processes in commercial QE22 magnesium alloy
  13. Cyclic deformation behavior of deep rolled as-quenched aluminium alloy AA6110 at elevated temperatures
  14. Effect of Ho additions on the microstructure and mechanical properties of Nb-22Ti-16Si-7Cr-3Al-3Ta-2Hf alloys
  15. Improved mechanical properties of the high pressure die casting alloy AlSi9Cu3(Fe)(Zn) as a result of the combination of natural and artificial ageing
  16. Effect of quenching temperature on the microstructure and mechanical properties of Fe–B–Ti alloy
  17. A kinetic study of nickel coating on boron nitride micro-particles
  18. Thermal diffusivity measurements of some industrially important alloys by a laser flash method
  19. Notifications
  20. DGM News
https://doi.org/10.3139/146.101503
Keywords for this article
Titanium alloys; Modelling; Dilatometry; Phase transformation kinetics; Interface migration

Articles in the same Issue

  1. Contents
  2. Contents
  3. Basic
  4. The effect of bismuth segregation on the faceting of Σ3 and Σ9 coincidence boundaries in copper bicrystals
  5. Viscosity measurement of liquid ternary Cu–Ni–Fe alloys by an oscillating cup viscometer and comparison with models
  6. Isothermal oxidation behavior of a precipitation-hardened Pt-base alloy with additions of Al, Cr and Ni
  7. Bismuth activity measurements and thermodynamic re-optimization of the Ni–Bi System
  8. Modelling of the β → α + β transformation in a metastable β Ti alloy based on the growth kinetics and the morphology of the α plates
  9. The microstructure of ball milled nanocrystalline vanadium; variation of the crystal imperfection and the lattice parameter
  10. Study of interfacial reactions between Sn–Ag–Cu alloys and Au substrate
  11. Applied
  12. On the precipitation processes in commercial QE22 magnesium alloy
  13. Cyclic deformation behavior of deep rolled as-quenched aluminium alloy AA6110 at elevated temperatures
  14. Effect of Ho additions on the microstructure and mechanical properties of Nb-22Ti-16Si-7Cr-3Al-3Ta-2Hf alloys
  15. Improved mechanical properties of the high pressure die casting alloy AlSi9Cu3(Fe)(Zn) as a result of the combination of natural and artificial ageing
  16. Effect of quenching temperature on the microstructure and mechanical properties of Fe–B–Ti alloy
  17. A kinetic study of nickel coating on boron nitride micro-particles
  18. Thermal diffusivity measurements of some industrially important alloys by a laser flash method
  19. Notifications
  20. DGM News
Sign up now to receive a 20% welcome discount
Institutional Access
How does access work?
Have an idea on how to improve our website?
Please write us.
© 2025 De Gruyter Brill
Downloaded on 16.10.2025 from https://www.degruyterbrill.com/document/doi/10.3139/146.101503/html?lang=en
Scroll to top button