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Effect of surface stress on the natural frequency of thin crystals
1.J. Lagowski, H. C. Gatos, and E. S. Sproles, Appl. Phys. Lett. 26, 493 (1975).
2.See, for example, S. Timoshenko, Vibration Problems in Engineering, 3rd ed. (Van Nostrand, New York, 1955), p. 374.
3.A general theory of surface stress, which motivates the constitutive equation (7), is given by M. E. Gurtin and A. I. Murdoch, Arch. Rational Mech. Anal. 57, 291 (1975).
3.See also M. E. Gurtin and A. I. Murdoch, J. Appl. Phys. (to be published). The idea of a strain‐dependent surface stress is due to R. Shuttleworth, Proc. Phys. Soc. (Lond.) A 63, 444 (1950);
3.and C. Herring, in Structure and Properties of Solid Surfaces (Univ. of Chicago Press, Chicago, 1952), p. 5.
4.C. W. Price and J. P. Hirth, Surface Sci. (to be published).
5.See, for example, P. C. Y. Lee, Y. S. Wang, and X. Markenscoff, J. Acoust. Soc. Am. 57, 95 (1975).
6.H. J. McSkimin and P. Andreatch, Jr., J. Appl. Phys. 38, 2610 (1967).
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