Band gaps of elastic waves in 1-D phononic crystals with imperfect interfaces

被引：21
作者：
Zheng, Min [1 ]
Wei, Pei-jun [1 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Appl Sci, Beijing 100083, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MINERALS METALLURGY AND MATERIALS | 2009年 / 16卷 / 05期
基金：
中国国家自然科学基金;
关键词：
phononic crystal; transfer matrix; band gap; imperfect interface; Bloch wave;
D O I：
10.1016/S1674-4799(09)60105-9
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Band gaps of elastic waves in 1-D phononic crystals with imperfect interfaces were studied. By using the transfer matrix method (TMM) and the Bloch wave theory in the periodic structure, the dispersion equation was derived for the periodically laminated binary system with imperfect interfaces (the traction vector jumps or the displacement vector jumps). The dispersion equation was solved numerically and wave band gaps were obtained in the Brillouin zone. Band gaps in the case of imperfect interfaces were compared with that in the case of perfect interfaces. The influence of imperfect interfaces on wave band gaps and some interesting phenomena were discussed.
引用
收藏
页码：608 / 614
页数：7
相关论文
共 12 条
  • [1] TRANSVERSE ELASTIC-WAVES IN PERIODICALLY LAYERED INFINITE AND SEMI-INFINITE MEDIA
    CAMLEY, RE
    DJAFARIROUHANI, B
    DOBRZYNSKI, L
    MARADUDIN, AA
    [J]. PHYSICAL REVIEW B, 1983, 27 (12): : 7318 - 7329
  • [2] Study on band gaps of elastic waves propagating in one-dimensional disordered phononic crystals
    Chen, A. -Li
    Wang, Yue-Sheng
    [J]. PHYSICA B-CONDENSED MATTER, 2007, 392 (1-2) : 369 - 378
  • [3] Dispersive elastodynamics of ID banded materials and structures: Design
    Hussein, Mahmoud I.
    Hulbert, Gregory M.
    Scott, Richard A.
    [J]. JOURNAL OF SOUND AND VIBRATION, 2007, 307 (3-5) : 865 - 893
  • [4] Wave transmission characteristics in periodic media of finite length: multilayers and fiber arrays
    Kobayashi, F
    Biwa, S
    Ohno, N
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2004, 41 (26) : 7361 - 7375
  • [5] THEORY OF ACOUSTIC BAND-STRUCTURE OF PERIODIC ELASTIC COMPOSITES
    KUSHWAHA, MS
    HALEVI, P
    MARTINEZ, G
    DOBRZYNSKI, L
    DJAFARIROUHANI, B
    [J]. PHYSICAL REVIEW B, 1994, 49 (04): : 2313 - 2322
  • [6] Three-component elastic wave band-gap material
    Liu, ZY
    Chan, CT
    Sheng, P
    [J]. PHYSICAL REVIEW B, 2002, 65 (16) : 1651161 - 1651166
  • [7] A layer-multiple-scattering method for phononic crystals and hetero structures of such
    Sainidou, R
    Stefanou, N
    Psarobas, IE
    Modinos, A
    [J]. COMPUTER PHYSICS COMMUNICATIONS, 2005, 166 (03) : 197 - 240
  • [8] Theoretical study of three dimensional elastic band gaps with the finite-difference time-domain method
    Sigalas, MM
    García, N
    [J]. JOURNAL OF APPLIED PHYSICS, 2000, 87 (06) : 3122 - 3125
  • [9] ELASTIC-WAVE PROPAGATION THROUGH DISORDERED AND/OR ABSORPTIVE LAYERED SYSTEMS
    SIGALAS, MM
    SOUKOULIS, CM
    [J]. PHYSICAL REVIEW B, 1995, 51 (05): : 2780 - 2789
  • [10] One-dimensional phononic crystals with locally resonant structures
    Wang, G
    Yu, DL
    Wen, JH
    Liu, YZ
    Wen, XS
    [J]. PHYSICS LETTERS A, 2004, 327 (5-6) : 512 - 521
12