Skip to main content
SpringerLink
Log in

A dislocation-based model for variant selection during the γ-to-α′ transformation

  • Published:
Metallurgical and Materials Transactions A Aims and scope Submit manuscript

Abstract

A phase transformation model is described for variant selection during the austenite-to-martensite transformation. The model depends entirely on the presence of glide dislocations in the deformed austenite. The direct correlation between the 24 slip systems of the Bishop and Hill (B-H) crystal plasticity model and the 24 〈112〉 rotation axes of the Kurdjumov-Sachs (K-S) orientation relationship is employed. Two selection criteria, based on slip activity and permissible dislocation reactions, govern the variants that are chosen to represent the final transformation texture. The development of the model via analysis of the experimental results of Liu and Bunge is described. The model is applied to the four distinct strain paths: (1) plane strain rolling, (2) axisymmetric extension, (3) axisymmetric compression, and (4) simple shear. Experimental deformation and transformation textures were produced for comparison purposes via appropriate deformation and quenching procedures. In each case, the transformation texture predicted using the dislocation reaction model is in excellent agreement with the experimental findings.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Sum and J.J. Jonas: Textures Microstr., 1999, vol. 31, pp. 187–215.

    Article  CAS  Google Scholar 

  2. M.P. Butrón-Guillén, C.S. da Costa Viana, and J.J. Jonas: Metall. Mater. Trans., A, 1997, vol. 28A, pp. 1755–68.

    Article  Google Scholar 

  3. J.C. Bokros and E.R. Parker: Acta Metall., 1963, vol. 11, pp. 1291–1301.

    Article  CAS  Google Scholar 

  4. M. Humbert, F. Wagner, W.P. Liu, C. Esling, and H.J. Bunge: Proc. 8th Int. Conf. on Textures of Materials (ICOTOM 8),, TMS-AIME, Warrendale, PA, 1988, pp. 743–54.

    Google Scholar 

  5. J.R. Patel and M. Cohen: Acta Metall., 1953, vol. 1, pp. 531–38.

    Article  CAS  Google Scholar 

  6. J.F. Bishop and R. Hill: Phil. Mag., 1951, vol. 42, pp. 414–27.

    CAS  Google Scholar 

  7. J.F. Bishop and R. Hill: Phil. Mag., 1951, vol. 42, pp. 1298–1307.

    CAS  Google Scholar 

  8. G. von Kurdjumov and G. Sachs: Z. Phys., 1930, vol. 64, pp. 325–43.

    Article  Google Scholar 

  9. W.P. Liu and H.J. Bunge: Mater. Lett., 1991, vol. 10, pp. 336–43.

    Article  CAS  Google Scholar 

  10. J.J. Jonas and N.J. Wittridge: Proc. 12th Int. Conf. on Textures of Materials (ICOTOM 12), Montreal, Aug. 1999, National Research Council of Canada, Chalk River, pp. 1049–58.

    Google Scholar 

  11. J.J. Jonas and N.J. Wittridge: Met. Mater. (Korea), 2000, vol. 6, pp. 211–20.

    Article  CAS  Google Scholar 

  12. J.J. Jonas and N.J. Wittridge: Proc. of the NATO Advanced Study Institute of Multiscale Phenomena in Plasticity, J. Lépinoux, D. Mazière, V. Pontikis, and G. Saada, eds., Kluwer Academic Publishers B.V., Dordrecht, 2000, pp. 143–56.

    Google Scholar 

  13. N.J. Wittridge, J.J. Jonas, and J.H. Root: Proc. 12th Int. Conf. on Textures of Materials (ICOTOM 12), Montreal, Aug. 1999, National Research Council of Canada, Ottawa, pp. 1089–94.

    Google Scholar 

  14. M. Sum, J.J. Jonas, and J.H. Root: Proc. 12th Int. Conf. on Textures of Materials (ICOTOM 12), Montreal, Aug. 1999, National Research Council of Canada, Ottawa, pp. 761–66.

    Google Scholar 

  15. N.J. Wittridge and J.J. Jonas: Acta Mater. 2000, vol. 48, pp. 2737–49.

    Article  CAS  Google Scholar 

  16. J. Weertman and J.R. Weertman: Elementary Dislocation Theory, Oxford University Press Inc., New York, NY, 1992.

    Google Scholar 

  17. L. Kaufman and M. Cohen: Trans. AIME, J. Met., 1956, pp. 1393–1401.

  18. L.S. Tóth, K.N. Neale, and J.J. Jonas: Int. J. Plasticity, 1989, vol. 6, pp. 45–52.

    Google Scholar 

  19. L.S. Tóth, J.J. Jonas, P. Gilormini, and B. Bacroix: Int. J. Plasticity, 1990, 6, pp. 83–108.

    Article  Google Scholar 

  20. F. Montheillet, M. Cohen, and J.J. Jonas: Acta Metall., 1984, vol. 32 (11), pp. 2077–89.

    Article  CAS  Google Scholar 

  21. J. Baczynski and J.J. Jonas: Acta Mater., 1996, vol. 44 (11), pp. 4273–88.

    Article  Google Scholar 

  22. D.A. Porter and K.E. Easterling: Phase Transformations in Metals and Alloys, Chapman and Hall, London, 1981.

    Google Scholar 

  23. P.G. McDougall and C.M. Wayman: in Martensite: A Tribute to Morris Cohen; G.B. Olson and W.S. Owen, eds., ASM INTERNATIONAL, Materials Park, OH, pp. 59–95, 1992.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Granta Design Ltd., Trompington, Cambridge, U.K.

    N. J. Wittridge (Materials Selection Engineer)

  2. the Department of Metallurgical Engineering, McGill University, H3A 2B2, Montreal, PQ, Canada

    J. J. Jonas (Professor)

  3. Chalk River Laboratories, the Steacie Institute for Molecular Sciences, K0J 1J0, Chalk River, ON, Canada

    J. H. Root (Program Leader)

Authors
  1. N. J. Wittridge
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. J. Jonas
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. H. Root
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wittridge, N.J., Jonas, J.J. & Root, J.H. A dislocation-based model for variant selection during the γ-to-α′ transformation. Metall Mater Trans A 32, 889–901 (2001). https://doi.org/10.1007/s11661-001-0346-9

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11661-001-0346-9

Keywords

Search

Navigation