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Surface Stress Effect on the Elastic Moduli of Superlattice Thin Films

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Abstract

A thermodynamic model is presented which predicts a significant sample size effect on the elastic moduli of superlattice thin films possessing small bilayer repeat lengths. Owing to the presence of incoherent (incommensurate) interfacial stresses, biaxial in-plane strains are created which are approximately inversely proportional to the bilayer repeat length Λ. When Λ is of the order of 1 nm, these strains can be of the order of 1%, inducing nonlinear elastic behavior. This model is able to explain in a quantitative way the existence of a ‘supermodulus‘ effect in certain metallic superlattices.

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References

  1. P.C. Clapp, in Modulated Structure Materials, NATO ASI Series, Applied Sciences, ed. T. Tsakalakos, Martinus Nijhoff, Drodecht, p. 465 (1985).

  2. I.K. Schuller, IEEE Ultrason. Symp. 1985, 1093 (1985).

    Book  Google Scholar 

  3. T. Tsakalakos and A.F. Jankowski, Ann. Rev. Mater. Sci. 16, 293 (1986).

    Article  CAS  Google Scholar 

  4. R.C. Cammarata, Scripta Metall. 20, 479 (1986).

    Article  CAS  Google Scholar 

  5. R.W. Cahn, Nature 324, 108 (1986).

    Article  Google Scholar 

  6. W.M.C. Yang, T. Tsakalakos, and J.E. Hilliard, J. Appl. Phys. 48, 876 (1977).

    Article  CAS  Google Scholar 

  7. A. Kueny, M. Grimsditch, K. Miyano, I. Banerjee, C.M. Falco, and I.K. Schuller, Phys. Rev. Lett. 48, 166 (1982).

    Article  CAS  Google Scholar 

  8. B.M. Clemens and G.L. Eesley, Phys. Rev. Lett. 61, 2356 (1988).

    Article  CAS  Google Scholar 

  9. B.M. Clemens and G.L. Eesley, Proc. Mat. Res. Soc. 130, 307 (1989).

    Article  CAS  Google Scholar 

  10. G. Henein, Ph.D. Thesis, Northwestern University (1979).

    Google Scholar 

  11. T.-B. Wu, J. Appl. Phys. 53, 5265 (1982).

    Article  Google Scholar 

  12. W.E. Pickett, J. Phys. F: Met. Phys. 12, 2195 (1982).

    Article  CAS  Google Scholar 

  13. A.F. Jankowski and T. Tsakalakos, J. Phys. F: Met. Phys. 15, 1279 (1985).

    Article  Google Scholar 

  14. A. Banerjea and J.R. Smith, Phys. Rev. B35, 5413 (1987).

    Article  Google Scholar 

  15. B.W. Dodson, Phys. Rev. B37, 772 (1988).

    Google Scholar 

  16. B.M. Clemens, personal communication.

  17. K.A. Green, M.S. Thesis, Brown University (1990).

    Google Scholar 

  18. R.C. Cammarata and K. Sieradzki, Phys. Rev. Lett. 62, 2005 (1989).

    Article  CAS  Google Scholar 

  19. R.J. Needs and M.J. Godfrey, Physica Scripta T19, 391 (1987).

    Article  Google Scholar 

  20. G.J. Ackland and M.I. Finnis, Philos. Mag. 54, 301 (1986).

    Article  CAS  Google Scholar 

  21. C.W. Mays, J.S. Vermaak, and D. Kuhlmann-Wilsdorf, Surf. Sci. 12, 134 (1968).

    Article  CAS  Google Scholar 

  22. S.A. Dregia, Ph.D. Thesis, Carnegie-Mellon University (1989).

    Google Scholar 

  23. In reference 18, the factor of 2 in the first term on the left hand side was incorrectly omitted.

  24. B.W. Dodson, personal communication.

  25. D. Wolf and J.F. Lutsko, Phys. Rev. Lett. 60, 1170 (1988).

    Article  CAS  Google Scholar 

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Acknowledgements

We gratefully acknowledge useful discussions with B.M. Clemens, S.A. Dregia, K.A. Green, and I. C. Oppenheim.

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Cammarata, R.C., Sieradzki, K. & Streitz, F.H. Surface Stress Effect on the Elastic Moduli of Superlattice Thin Films. MRS Online Proceedings Library 160, 53–57 (1989). https://doi.org/10.1557/PROC-160-53

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