Skip to main content
SpringerLink
Log in

Computer simulation of reversible martensitic transformations

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

Abstract

This article reports the results of computer simulation studies of reversible, athermal martensitic transformations in idealized, two-dimensional crystals. The transformation is accomplished by se-quentially transforming elementary cells. The model accounts for the elastic strain developed during the transformation, assuming homogeneous elastic constants, negligible interfacial tension, and no external stress. The effects of frictional resistance to the transformation and plastic relaxation of the elastic strain are included in a simple way. The model is used to study the sources of hysteresis in the temperature-transformation (TT) curve and in the microstructural transformation path when the transformation is reversed. The central result is that some hysteresis is inevitable in a transformation of the type studied here. Even in the absence of friction and plastic relaxation, the transformation follows a path in which sequential elements of martensite relax the elastic strain of those that have previously formed. This causes the martensite to form in bursts and has the consequence that the reverse transformation does not reverse the path of the forward transformation. Friction and plastic relaxation increase hysteresis.

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. Ping Xu, J.W. Mrris and Jr.:Metall. Trans. A, 1992, vol. 23A, pp. 2999–3012.

    CAS  Google Scholar 

  2. Ping Xu, J.W. Mrris and Jr.:Metall. Trans. A, 1993, vol. 24A, pp. 1281–94.

    CAS  Google Scholar 

  3. G.V. Kurdjumov:Zh. Tekhnich. Fiz. (Tech. Phys. USSR), 1948, vol. 18, pp. 999–1025.

    Google Scholar 

  4. G.V. Kurdjumov and L.C. Khandros:Dokl. Akad. Nauk SSSR, 1949, vol. 66, pp. 211–14.

    Google Scholar 

  5. CM. Wayman and K. Shimizu:Met. Sci. J., 1972, vol. 8, pp. 175- 83.

    Google Scholar 

  6. L. Delaey, R.V. Krishnan, H. Tas, and H. Warlimont:J. Mater. Sci., 1974, vol. 9, pp. 1521–35.

    Article  CAS  Google Scholar 

  7. Shape Memory Effects in Alloys, J. Perkins, ed., Plenum Press, New York, NY, 1975.

    Google Scholar 

  8. Shape Memory Alloys, H. Funakubo, ed., Gordon and Breach Science Publishers, New York, NY, 1984 (translated by J.B. Kennedy).

    Google Scholar 

  9. D.P. Dunne and CM. Wayman:Metall. Trans., 1973, vol. 4, pp. 137- 45.

    Google Scholar 

  10. Y. Deng and G.S. Ansell:Acta Metall., 1991, vol. 22, pp. 1995–99.

    Article  Google Scholar 

  11. R.V. Krishnan, L. Delaey, H. Tas, and H. Warlimont:J. Mater. Sci., 1974, vol. 9, pp. 1536–44.

    Article  CAS  Google Scholar 

  12. G.B. Olson and M. Cohen:Scripta Metall., 1975, vol. 9, pp. 1247- 54.

    Google Scholar 

  13. G.B. Olson and M. Cohen:Scripta Metall., 1977, vol. 11, pp. 345- 47.

    Article  Google Scholar 

  14. J. Ortin and A. Planes:Eur. Symp. on Martensitic Transformations and Shape Memory Properties, Aussois, France, 1991, pp. C4-13–C4-23.

    Google Scholar 

  15. H.C Tong and CM. Wayman:Acta Metall, 1974, vol. 22, pp. 887- 96.

    Google Scholar 

  16. A.G. Khachaturyan and G.A. Shatalov:Sov. Phys. JETP, 1969, vol. 29, pp. 557–61.

    Google Scholar 

  17. A.G. Khachaturyan:Theory of Structural Transformations in Solids, J. Wiley, New York, 1983.

Download references

Author information

Authors and Affiliations

  1. Applied Materials, 3225 Oakmead Village Drive, MS 1266, 95054, Santa Clara, CA

    Ping Xu (Senior Processing Engineer)

  2. Materials Science and Mineral Engineering, University of California, Berkeley

    J. W. Morris (Professor of Metallurgy,Program Leader)

  3. Structural Materials, Center for Advanced Materials, Lawrence Berkeley National Laboratory, 94720, Berkeley, CA

    J. W. Morris (Professor of Metallurgy,Program Leader)

Authors
  1. Ping Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. W. Morris
    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

Xu, P., Morris, J.W. Computer simulation of reversible martensitic transformations. Metall Mater Trans A 27, 1187–1201 (1996). https://doi.org/10.1007/BF02649857

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02649857

Keywords

Search

Navigation