Journal
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS
Volume 74, Issue 3, Pages 297-305Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jappmathmech.2010.07.005
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Funding
- Minobrnauka Analytic Departmental Special Purpose Programme [2.1.1/1231]
- Russian Foundation for Basic Research [07-01-00307]
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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. (C) 2010 Elsevier Ltd. All rights reserved.
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