A Model of Superlattice Yield Stress and Hardness Enhancements


A model is presented that explains the yield stress and hardness enhancements that have been observed in superlattice thin films. The predicted strength/hardness enhancement increased with increasing superlattice period, Λ, before reaching a saturation value that depended on interface widths. The results indicate that superlattice strength/hardness depends strongly on interface widths and the difference in shear moduli of the two components for Λ values below the maximum, and on the average shear modulus for larger Λ.

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  1. 1

    S. A. Barnett and M. Shinn, in Annu. Rev. Mater. Sci., 24, 481 (1994).

    CAS  Article  Google Scholar 

  2. 2

    M. Shinn, L. Hultman, and S. A. Barnett, J. Mater. Res. 7, 901 (1992).

    CAS  Article  Google Scholar 

  3. 3

    U. Helmersson, S. Todorova, S. A. Barnett, J.-E. Sundgren, L. C. Markert, and J. E. Greene, J. Appl. Phys. 62, 481 (1987).

    CAS  Article  Google Scholar 

  4. 4

    P. B. Mirkarimi, L. Hultman, and S. A. Barnett, Appl. Phys. Lett. 57, 2654 (1990).

    CAS  Article  Google Scholar 

  5. 5

    J. S. Koehler, Physics Review B 2, 547 (1970).

    Article  Google Scholar 

  6. 6

    S. L. Lehoczky, J. Appl. Phys. 49, 5479 (1978).

    CAS  Article  Google Scholar 

  7. 7

    P. B. Mirkarimi, M. Shinn, S. A. Barnett, S. Kumar, and M. Grimsditch, J. Appl. Phys. 71, 4955 (1992).

    CAS  Article  Google Scholar 

  8. 8

    M. Shinn and S. A. Barnett, Appl. Phys. Lett. 64, 61 (1994).

    CAS  Article  Google Scholar 

  9. 9

    P. B. Mirkarimi, S. A. Barnett, K. M. Hubbard, T. R. Jervis, and L. Hultman, J. Mater. Res. 9, 1456(1994).

    CAS  Article  Google Scholar 

  10. 10

    S. V. Kamat, J. P. Hirth, and B. Carnahan, Scr. Metall. 21, 1587 (1987).

    Article  Google Scholar 

  11. 11

    J. E. Krzanowski, in Mater. Res. Soc. Symp. Proc, edited by W. D. Nix, J. C. Bravman, E. Arzt, and L. B. Freunds,. (Mater. Res. Soc, Pittsburgh, 1992), vol. 239, p. 509.

  12. 12

    G. E. Dieter, Mechanical Metallurgy (McGraw-Hill Book Company, New York, 1986).

    Google Scholar 

  13. 13

    G. J. Taylor, J. Inst. Met. 62, 307 (1938).

    Google Scholar 

  14. 14

    D. Tabor, J. Inst. Metals 79, 1 (1951).

    CAS  Google Scholar 

  15. 15

    A. K. Head, Philos. Mag. 44, 92 (1953).

    CAS  Article  Google Scholar 

  16. 16

    E. S. Pacheco and T. Mura, J. Mech. Phys. Solids 17, 163 (1969).

    Article  Google Scholar 

  17. 17

    J. G. Sevillano, in Strength of Metals and Alloys. Proc. ICSMA 5, edited by P. Haasen, V. Gerold, and G. Kowtorzs (Pergamon Press, Oxford, 1980), p. 819.

    Google Scholar 

  18. 18

    X. Chu, P. Yashar, M. S. Wong, W. D. Sproul, and S. A. Barnett, unpublished.

  19. 19

    J. W. Cahn, Acta. Metall. 11, 1275 (1963).

    CAS  Article  Google Scholar 

  20. 20

    M. Kato, T. Mori, and L. H. Schwartz, Acta Met. 28, 285 (1980).

    CAS  Article  Google Scholar 

  21. 21

    X. Chu and S. A. Barnett, J. Appl. Phys., (1995)

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Chu, X., Barnett, S.A. A Model of Superlattice Yield Stress and Hardness Enhancements. MRS Online Proceedings Library 382, 291 (1995). https://doi.org/10.1557/PROC-382-291

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