Interface Science

, Volume 2, Issue 2, pp 137–146 | Cite as

Mechanical properties of twist grain boundaries in Cu

  • Miki Nomura
  • James B. Adams
Article
  • 58 Downloads

Abstract

In a previous paper we studied the Young's and shear modulus of a high-angle twist grain boundary (Σ5) in Cu, using the EAM, and related it to the uniaxial strain derivatives of single crystals. In this paper, we discuss elastic properties of ten additional twist grain boundaries, from 8.8–43.6°. The monolayer Young's modulus at each boundary was calculated and found to be 20–50% higher than the bulk value for all eleven boundaries for both csl and type1 structures. The monolayer shear modulus at each boundary was calculated and found to be 93–98% lower than the bulk value for six grain boundaries with csl structure and found to decrease with increasing twist angle. The critical shear stress was also calculated for eleven boundaries with csl structure and found to roughly decrease with increasing twist angle.

Keywords

Grain boundaries mechanical properties computer simulation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    T. Schober and R.W. Balluffi, Philos. Mag.20, 511 (1969).Google Scholar
  2. 2.
    T. Schober and R.W. Balluffi, Philos. Mag.21, 108 (1970).Google Scholar
  3. 3.
    W. Krakow and D.A. Smith, J. Mater. Res.1, 47 (1986).Google Scholar
  4. 4.
    J. Budai, P.D. Bristowe, and S.L. Sass Acta Metall.31, 698 (1983).Google Scholar
  5. 5.
    M.R. Fitzsimmons and S.L. Sass, Acta Metall.37, 1009 (1989).Google Scholar
  6. 6.
    M.R. Fitzsimmons and S.L. Sass, Acta Metall.36, 3103 (1988).Google Scholar
  7. 7.
    I. Majid, P.D. Bristowe, and R.W. Balluffi, Phys Rev. B40, 2779 (1989).Google Scholar
  8. 8.
    G.-J. Wang, A.P. Sutton, and V. Vitek, Acta Metall.32, 1093 (1984).Google Scholar
  9. 9.
    P.D. Bristowe and R.W. Balluffi, J. Phys. (Paris) Colloq.46, C4–155 (1985).Google Scholar
  10. 10.
    Y. Oh and V. Vitek, Acta Metall.34, 1941 (1986).Google Scholar
  11. 11.
    S.M. Foiles, Acta Metall.37, 2815 (1989).Google Scholar
  12. 12.
    T. Tsakalakos and A.F. Jankowski, Ann. Rev. Mater. Sci.16, 293 (1986).Google Scholar
  13. 13.
    A.F. Jankowski “Implications of Interface Structure on the Elastic Properties of Metallic Multilayers—the Case of the Supermodulus effect” in Structure/Property Relationships For Metal/Metal Interfaces, ed. A.D. Romig, Jr., D.E. Fowler, and P.D. Bristowe, Materials Research Society Symposia Proceedings,229 (1991).Google Scholar
  14. 14.
    M.D. Kluge, D. Wolf, J.F. Lutsko, and S.R. Phillpot, J. Appl. Phys.67, 2370 (1990).Google Scholar
  15. 15.
    D. Wolf, Acta Metall.37, 1983 (1989).Google Scholar
  16. 16.
    D. Wolf and M.D. Kluge, Scr. Meta.24, 907 (1990).Google Scholar
  17. 17.
    D. Wolf and J.F. Lutsko, J. Mater. Res.4, 1427 (1989).Google Scholar
  18. 18.
    D. Wolf and J.F. Lutsko, Phy. Rev. Lett,60, 1170 (1988).Google Scholar
  19. 19.
    D. Wolf and J. Lutsko, “Computer Simulation of Elastic Structural Anomalies of Thin Films and Superlattices” to be published in Scr. Met.Google Scholar
  20. 20.
    S.R. Phillpot and D. Wolf, J. Am. Cer. Soc.73, 933 (1990).Google Scholar
  21. 21.
    S.R. Phillpot, D. Wolf, and J.F. Lutsko, J. Appl. Phys.67, 6747 (1990).Google Scholar
  22. 22.
    J.B. Adams, W.G. Wolfer, and S.M. Foiles, Phys. Rev. B.40, 9479 (1989).Google Scholar
  23. 23.
    M.S. Daw and M.I. Baskes, Phys. Rev. B29, 6443 (1984).Google Scholar
  24. 24.
    S.M. Foiles, M.I. Baskes, and M.S. Daw, Phys. Rev. B33, 7983 (1986). errata, Phys. Rev. B,33, 7983 (1986).Google Scholar
  25. 25.
    P.D. Bristowe and A.G. Crocker, Phil. Mag. A38, 487 (1978).Google Scholar
  26. 26.
    I. Alber, J.L. Bassani, M. Khantha, V. Vitek, and G.J. Wang, “Grain Boundaries as Heterogeneous Systems: Atomic and Continuum Elastic Properties” to be published in Philosophical Transaction of Royal Society of London.Google Scholar
  27. 27.
    J. Garstone and R.W.K. Honeycombe inDislocations and Mechanical Properties of Crystals P. 391 John Wiley NY (1957).Google Scholar
  28. 28.
    A.P. Sutton and V. Vitek, Phil. Trans. R. Soc. L. A309, 1 (1983).Google Scholar
  29. 29.
    D. Wolf, Scr. Meta.23, 1913 (1989).Google Scholar

Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • Miki Nomura
    • 1
  • James B. Adams
    • 1
  1. 1.Department of Materials Science and EngineeringUniversity of IllinoisUrbanaUSA

Personalised recommendations