Wave band gaps in two-dimensional piezoelectric/piezomagnetic phononic crystals

被引:119
作者
Wang, Yi-Ze [1 ]
Li, Feng-Ming [1 ,2 ]
Huang, Wen-Hu [1 ]
Jiang, Xiaoai [3 ]
Wang, Yue-Sheng [4 ]
Kishimoto, Kikuo [2 ]
机构
[1] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China
[2] Tokyo Inst Technol, Dept Mech Sci & Engn, Meguro Ku, Tokyo 1528552, Japan
[3] GE Global Res, Adv Mat Syst Applicat Lab, Niskayuna, NY 12309 USA
[4] Beijing Jiaotong Univ, Inst Engn Mech, Beijing 100044, Peoples R China
关键词
phononic crystal; piezoelectricity; piezomagneticity; plane-wave expansion method; band gap;
D O I
10.1016/j.ijsolstr.2008.03.001
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, the elastic wave propagation in phononic crystals with piezoelectric and piezomagnetic inclusions is investigated taking the magneto-electro-elastic coupling into account. The electric and magnetic fields are approximated as quasi-static. The band structures of three kinds of piezoelectric/piezonnagnetic phononic crystals-CoFe2O4/quartz, BaTiO3/CoFe2O4 and BaTiO3-CoFe2O4/polymer periodic composites are calculated using the plane-wave expansion method. The piezoelectric and piezomagnetic effects on the band structures are analyzed. The numerical results show that in CoFe2O4/quartz structures, only one narrow band gap exists along the Gamma-X direction for the coupling of xy-mode and z-mode for the filling fraction f being 0.4; while in BaTiO3/CoFe2O4 composites, only one narrow band gap exists along the Gamma-X direction forxy-mode and no band gap exists for z-mode as the filling friction f is 0.5. Moreover, for the new type of magneto-electro-elastic phononic crystal-BaTiO3-CoFe2O4/polymer periodic composite, the band gap chatacteristics are more superior in the whole considered frequency regions due to the big contrast of the material properties in the two constituents and the effects of the piezoelectricity and piezomagneticity on the band gap structures are remarkable. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:4203 / 4210
页数:8
相关论文
共 28 条
[1]   Free vibrations of clamped-clamped magneto-electro-elastic cylindrical shells [J].
Annigeri, AR ;
Ganesan, N ;
Swarnamani, S .
JOURNAL OF SOUND AND VIBRATION, 2006, 292 (1-2) :300-314
[2]  
Auld B.A., 1973, ACOUSTIC FIELDS WAVE
[3]   Evidence for complete surface wave band gap in a piezoelectric phononic crystal [J].
Benchabane, S. ;
Khelif, A. ;
Rauch, J. -Y. ;
Robert, L. ;
Laude, V. .
PHYSICAL REVIEW E, 2006, 73 (06)
[4]   Comparative studies of the transient response for PECP, MSCP, Barium Titanate, magneto-electro-elastic finite cylindrical shell under constant internal pressure using finite element method [J].
Daga, Atul ;
Ganesan, N. ;
Shankar, K. .
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2008, 44 (03) :89-104
[5]   A derivation of the Christoffel equation with damping [J].
Fazzio, R. Shane .
ULTRASONICS, 2006, 45 (1-4) :196-207
[6]   Phononic crystals containing piezoelectric material [J].
Hou, ZL ;
Wu, FG ;
Liu, Y .
SOLID STATE COMMUNICATIONS, 2004, 130 (11) :745-749
[7]   Exact solution for 2D polygonal inclusion problem in anisotropic magnetoelectroelastic full-, half-, and bimaterial-planes [J].
Jiang, X ;
Pan, E .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2004, 41 (16-17) :4361-4382
[8]   Complete band gaps in two-dimensional phononic crystal slabs [J].
Khelif, A. ;
Aoubiza, B. ;
Mohammadi, S. ;
Adibi, A. ;
Laude, V. .
PHYSICAL REVIEW E, 2006, 74 (04)
[9]   THEORY OF ACOUSTIC BAND-STRUCTURE OF PERIODIC ELASTIC COMPOSITES [J].
KUSHWAHA, MS ;
HALEVI, P ;
MARTINEZ, G ;
DOBRZYNSKI, L ;
DJAFARIROUHANI, B .
PHYSICAL REVIEW B, 1994, 49 (04) :2313-2322
[10]   ACOUSTIC BAND-STRUCTURE OF PERIODIC ELASTIC COMPOSITES [J].
KUSHWAHA, MS ;
HALEVI, P ;
DOBRZYNSKI, L ;
DJAFARIROUHANI, B .
PHYSICAL REVIEW LETTERS, 1993, 71 (13) :2022-2025