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
P.C. Clapp, in Modulated Structure Materials, NATO ASI Series, Applied Sciences, ed. T. Tsakalakos, Martinus Nijhoff, Drodecht, p. 465 (1985).
I.K. Schuller, IEEE Ultrason. Symp. 1985, 1093 (1985).
T. Tsakalakos and A.F. Jankowski, Ann. Rev. Mater. Sci. 16, 293 (1986).
R.C. Cammarata, Scripta Metall. 20, 479 (1986).
R.W. Cahn, Nature 324, 108 (1986).
W.M.C. Yang, T. Tsakalakos, and J.E. Hilliard, J. Appl. Phys. 48, 876 (1977).
A. Kueny, M. Grimsditch, K. Miyano, I. Banerjee, C.M. Falco, and I.K. Schuller, Phys. Rev. Lett. 48, 166 (1982).
B.M. Clemens and G.L. Eesley, Phys. Rev. Lett. 61, 2356 (1988).
B.M. Clemens and G.L. Eesley, Proc. Mat. Res. Soc. 130, 307 (1989).
G. Henein, Ph.D. Thesis, Northwestern University (1979).
T.-B. Wu, J. Appl. Phys. 53, 5265 (1982).
W.E. Pickett, J. Phys. F: Met. Phys. 12, 2195 (1982).
A.F. Jankowski and T. Tsakalakos, J. Phys. F: Met. Phys. 15, 1279 (1985).
A. Banerjea and J.R. Smith, Phys. Rev. B35, 5413 (1987).
B.W. Dodson, Phys. Rev. B37, 772 (1988).
B.M. Clemens, personal communication.
K.A. Green, M.S. Thesis, Brown University (1990).
R.C. Cammarata and K. Sieradzki, Phys. Rev. Lett. 62, 2005 (1989).
R.J. Needs and M.J. Godfrey, Physica Scripta T19, 391 (1987).
G.J. Ackland and M.I. Finnis, Philos. Mag. 54, 301 (1986).
C.W. Mays, J.S. Vermaak, and D. Kuhlmann-Wilsdorf, Surf. Sci. 12, 134 (1968).
S.A. Dregia, Ph.D. Thesis, Carnegie-Mellon University (1989).
In reference 18, the factor of 2 in the first term on the left hand side was incorrectly omitted.
B.W. Dodson, personal communication.
D. Wolf and J.F. Lutsko, Phys. Rev. Lett. 60, 1170 (1988).
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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DOI: https://doi.org/10.1557/PROC-160-53