In-plane elastic wave propagation and band-gaps in layered functionally graded phononic crystals

被引：79

作者：

Fomenko, S. I. ^{[1
]}

Golub, M. V. ^{[1
]}

Zhang, Ch. ^{[2
]}

Bui, T. Q. ^{[2
]}

Wang, Y. -S. ^{[3
]}

机构：

[1] Kuban State Univ, Inst Math Mech & Informat, Krasnodar 350040, Russia

[2] Univ Siegen, Dept Civil Engn, Chair Struct Mech, D-57076 Siegen, Germany

[3] Beijing Jiaotong Univ, Inst Engn Mech, Beijing 100044, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2014年 / 51卷 / 13期

基金：

俄罗斯基础研究基金会;

关键词：

Functionally graded materials; Phononic crystals; Laminates; Elastic waves; Wave transmission; Band-gaps; Transfer matrix method; ACOUSTIC-WAVES; SH-WAVES; PLATES;

D O I：

10.1016/j.ijsolstr.2014.03.017

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页码：2491 / 2503

页数：13

共 46 条

[1]

Achenbach JD., 1973, Wave propagation in elastic solids

[2] Evaluation of the elastic properties of a functionally-graded coating from the indentation measurements [J].

Aizikovich, Sergey ;

Krenev, Leonid ;

Sevostianov, Igor ;

Trubchik, Irina ;

Evich, Ludmila .

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2011, 91 (06) :493-515

[3]

Aki K., 2009, Quantitative Seismology

[4] THE INTERACTION OF LAMB WAVES WITH DEFECTS [J].

ALLEYNE, DN ;

CAWLEY, P .

IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 1992, 39 (03) :381-397

[5]

[Anonymous], 2009, Periodic Materials and Interference Lithography: For Photonics, Phononics and Mechanics

[6]

Auld B. A, 1973, PHYS TODAY, V2

[7] METHODS OF CONSTRUCTING GREEN MATRIX OF A STRATIFIED ELASTIC HALF-SPACE [J].

BABESHKO, VA ;

GLUSHKOV, EV ;

GLUSHKOVA, NV .

USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1987, 27 (1-2) :60-65

[8] Numerical simulation of two-dimensional wave propagation in functionally graded materials [J].

Berezovski, A ;

Engelbrecht, J ;

Maugin, GA .

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2003, 22 (02) :257-265

[9]

Brekhovskikh L. M., 1998, ACOUSTICS LAYERED ME

[10]

BRILLOUIN L., 1946, WAVE PROPAGATION PER

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