Harmonic Wave Propagation in a Periodically Layered, Infinite Elastic Body: Antiplane Strain

[+] Author and Article Information
T. J. Delph

Oak Ridge National Laboratory, Oak Ridge, Tenn.

G. Herrmann

Division of Applied Mechanics, Stanford University, Stanford, Calif.

R. K. Kaul

State University of New York, Buffalo, N. Y.

J. Appl. Mech 45(2), 343-349 (Jun 01, 1978) (7 pages) doi:10.1115/1.3424299 History: Received April 01, 1977; Online July 12, 2010


The propagation of horizontally polarized shear waves through a periodically layered elastic medium is analyzed. The dispersion equation is obtained by using Floquet’s theory and is shown to define a surface in frequency-wave number space. The important features of the surface are the passing and stopping bands, where harmonic waves are propagated or attenuated, respectively. Other features of the spectrum, such as uncoupling at the ends of the Brillouin zones, conical points, and asymptotic values at short wavelengths, are also examined.

Copyright © 1978 by ASME
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