Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2010-3pp.297-305

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Ye.V. Glushkov, N.V. Glushkova, and A.S. Krivonos, "The excitation and propagation of elastic waves in multilayered anisotropic composites," J. Appl. Math. Mech. 74 (3), 297-305 (2010)
Year 2010 Volume 74 Issue 3 Pages 297-305
Title The excitation and propagation of elastic waves in multilayered anisotropic composites
Author(s) Ye.V. Glushkov (Krasnodar, Russia, evg@math.kubsu.ru)
N.V. Glushkova (Krasnodar, Russia)
A.S. Krivonos (Krasnodar, Russia)
Abstract Using an integral approach wave fields, excited by dynamic action on composite materials with an arbitrary anisotropy of the elastic properties of their layers, are expressed in the form of the convolution of a Green's matrix with the stress vector of the specified load. The construction of a Fourier symbol of Green's matrix and the location of their poles and residues in them, which gives the asymptotic form of the surface and channel waves, plays a key role in determining the dynamic reaction of the material and in analysing the wave fields. Unlike the representations of classical modal analysis, the latter takes into account not only the characteristics of the material but also of the source. A brief description of the general scheme of wave analysis is given and test numerical examples are presented, as well as examples of the effect of the material structure on the energy characteristics and directivity of the radiation of waves excited in them by surface piezoactuators.
Received 27 April 2009
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