Wave Propagation in Layered Elastic Media

[+] Author and Article Information
R. M. Christensen

Department of Mechanical Engineering and Materials Research Laboratory, Washington University, St. Louis, Mo.

J. Appl. Mech 42(1), 153-158 (Mar 01, 1975) (6 pages) doi:10.1115/1.3423507 History: Received July 01, 1974; Online July 12, 2010


The Boltzmann constitutive representation is shown to provide a consistent means of incorporating dispersion effects into the mathematical modeling of wave behavior in layered elastic media. Attention is restricted to long wavelength conditions, with the waves propagating normal to the planes of layering. Special forms of a general Boltzmann law are derived for the special cases of periodic layering and one dimensionally random layering. Although there is no attenuation of harmonic waves in the periodic media case, an analytical representation is obtained for the attenuation measure in random media.

Copyright © 1975 by ASME
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