The problem of surface wave propagation in a reduced Cosserat medium

This article continues a series of publications devoted to the study of waves in the framework of the asymmetric theory of elasticity, where the deformed state of the medium is characterized by independent vectors of translation and rotation. The problem of acoustic Rayleigh wave propagation in half...

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Bibliographic Details
Published in:Acoustical physics 2009-03, Vol.55 (2), p.218-226
Main Authors: Kulesh, M. A., Grekova, E. F., Shardakov, I. N.
Format: Article
Language:English
Subjects:
Acoustics
Acoustics of Structurally Inhomogeneous Solid Media. Geological Acoustics
Physics
Physics and Astronomy
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Summary:This article continues a series of publications devoted to the study of waves in the framework of the asymmetric theory of elasticity, where the deformed state of the medium is characterized by independent vectors of translation and rotation. The problem of acoustic Rayleigh wave propagation in half space is considered within a model of the reduced Cosserat medium. A general analytic solution of this problem is obtained. The analysis of this solution is compared with the corresponding solution for a classical elastic medium and full linear Cosserat medium. It is shown that the Rayleigh wave is characterized by a range of forbidden frequencies, where this wave cannot propagate. The dispersion curve consists of two branches. One of them has a cut-off frequency and cut-off wavenumber.
ISSN:1063-7710
1562-6865
DOI:10.1134/S1063771009020110