Skip to main content
SpringerLink
Log in

Grain boundary order-disorder transitions

  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

The conditions for grain boundary (GB) structural transitions are determined from a diffuse interface model that incorporates structural disorder and crystallographic orientation. A graphical construction and numerical calculations illustrate the existence of a first-order GB order–disorder transition below the bulk melting point. When thermodynamic conditions permit their existence, disordered GB structures tend to be stable at higher temperatures and are perfectly wet by liquid at the melting point, while ordered grain boundaries are meta-stable against preferential melting. We calculate GB phase diagrams which are analogous to those for liquid–vapor phase transitions.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Frenken JWM, van der Veen JF (1985). Phys Rev Lett 54:134

    Article  CAS  Google Scholar 

  2. Frenken JWM, Maree PMJ, van der Veen JF (1986) Phys Rev B 34:7506

    Article  CAS  Google Scholar 

  3. Dash JG (1989) Cont Phys 30:89

    Article  CAS  Google Scholar 

  4. Gleiter H (1970) Z Metallkd 61:282

    CAS  Google Scholar 

  5. Demianczuk DW, Aust KT (1975) Acta Metall 23:1149

    Article  CAS  Google Scholar 

  6. Watanabe T, Kimura SI, Karashima S (1984) Phil Mag A 49:845

    Article  Google Scholar 

  7. Maksimova EL, Shvindlerman LS, Straumal BB (1988) Acta Metall 36:1573

    Article  CAS  Google Scholar 

  8. Divinski S, Lohmann M, Herzig C, Straumal B, Baretzky B, Gust W (2005) Phys Rev B 71: art.no. 104104

  9. Hsieh T, Balluffi R (1989) Acta Metall 37:1637

    Article  CAS  Google Scholar 

  10. Alsayed A, Islam MF, Zhang J, Collings PJ, Yodh AG (2005) Science 309:1207

    Article  CAS  Google Scholar 

  11. Luo J, Gupta VK, Yoon DH, Meyer HM (2005) App Phys Lett 87: art.no. 231902

  12. Kikuchi R, Cahn JW (1980) Phys Rev B 21:1893

    Article  CAS  Google Scholar 

  13. Kikuchi R, Cahn JW (1987) Phys Rev B 36:418

    Article  CAS  Google Scholar 

  14. Broughton JQ, Gilmer GH (1986) Phys Rev Lett 56:2692

    Article  CAS  Google Scholar 

  15. Ciccotti G, Guillope M, Pontikis V (1983) Phys Rev B 27:5576

    Article  CAS  Google Scholar 

  16. Nguyen T, Ho PS, Kwok T, Nitta C, Yip S (1986) Phys Rev Lett 57:1919

    Article  CAS  Google Scholar 

  17. Deymier P, Taiwo A, Kalonji GM (1987) Acta Metall 35:2719

    Article  Google Scholar 

  18. Phillpot SR, Lutsko JF, Wolf D, Yip S (1989) Phys Rev B 40:2831

    Article  CAS  Google Scholar 

  19. Lutsko JF, Wolf D, Phillpot SR, Yip S (1989) Phys Rev B 40:2841

    Article  CAS  Google Scholar 

  20. Nguyen T, Ho PS, Kwok T, Nitta C, Yip S (1992) Phys Rev B 46:6050

    Article  CAS  Google Scholar 

  21. Keblinski P, Phillpot SR, Wolf D, Gleiter H (1997) Philos Mag Lett 76:143

    Article  CAS  Google Scholar 

  22. Besold G, Mouritsen OG (1994) Phys Rev B 50:6573

    Article  CAS  Google Scholar 

  23. Besold G, Mouritsen OG (2000) Comp Mat Sci 18:225

    Article  Google Scholar 

  24. Kobayashi R, Warren JA, Carter WC (2000) Physica D 140:141

    Article  Google Scholar 

  25. Warren J, Kobayashi R, Lobkovsky A, Carter W (2003) Acta Mater 51:6035

    Article  CAS  Google Scholar 

  26. Tang M, Carter WC, Cannon RM (2006) Phys Rev B 73:024102

    Article  Google Scholar 

  27. Kobayashiand R, Giga Y (1999) J Stat Phys 95:1187

    Article  Google Scholar 

  28. Cahn JW (1997) J Chem Phys 66:3667

    Article  Google Scholar 

  29. Tang M, Carter WC, Cannon RM (2006) Phys Rev Lett 97:075502

    Article  Google Scholar 

Download references

Acknowledgements

Discussions with Yet-Ming Chiang and Jian Luo are gratefully acknowledged.

Author information

Authors and Affiliations

  1. Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Ming Tang & W. Craig Carter

  2. Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA

    Rowland M. Cannon

Authors
  1. Ming Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. W. Craig Carter
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Rowland M. Cannon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ming Tang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tang, M., Carter, W.C. & Cannon, R.M. Grain boundary order-disorder transitions. J Mater Sci 41, 7691–7695 (2006). https://doi.org/10.1007/s10853-006-0608-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10853-006-0608-4

Keywords

Search

Navigation