期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 51, 期 13, 页码 2491-2503出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2014.03.017
关键词
Functionally graded materials; Phononic crystals; Laminates; Elastic waves; Wave transmission; Band-gaps; Transfer matrix method
类别
资金
- Ministry of Education and Science of Russian Federation [11.9157.2014]
- Russian Foundation for Basic Research [14-01-31236]
- German Academic Exchange Services (DAAD)
In-plane wave propagation in layered phononic crystals composed of functionally graded interlayers arisen from the solid diffusion of homogeneous isotropic materials of the crystal is considered. Wave transmission and band-gaps due to the material gradation and incident wave-field are investigated. A classification of band-gaps in layered phononic crystals is proposed. The classification relies on the analysis of the eigenvalues of the transfer matrix for a unit-cell and the asymptotics derived for the transmission coefficient. Two kinds of band-gaps, where the transmission coefficient decays exponentially with the number of unit-cells are specified. The so-called low transmission pass-bands are introduced in order to identify frequency ranges, in which the transmission is sufficiently low for engineering applications, but it does not tend to zero exponentially as the number of unit-cells tends to infinity. A polyvalent analysis of the geometrical and physical parameters on band-gaps is presented. (C) 2014 Elsevier Ltd. All rights reserved.
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