Elastic wave band gaps in a three-dimensional periodic metamaterial using the plane wave expansion method

被引：73
|
作者：
Dal Poggetto, V. F. [1 ]
Serpa, Alberto Luiz [1 ]
机构：
[1] Univ Estadual Campinas, Sch Mech Engn, Dept Computat Mech, UNICAMP, Campinas, SP, Brazil
来源：
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2020年 / 184卷
关键词：
Plane wave expansion; Band gap; Metamaterial; Phononic crystal; Finite element method; FINITE-ELEMENT-METHOD; STOP BANDS; PHONONIC CRYSTALS; CUBIC ARRAYS; PROPAGATION; VIBRATIONS; SCATTERING; BEAMS; OPTIMIZATION; CONVERGENCE;
D O I：
10.1016/j.ijmecsci.2020.105841
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this work, a novel Fourier series expansion is proposed for representing periodic three-dimensional metamaterials consisting of spherical inclusions in a cubic lattice, which allows the application of the plane wave expansion (PWE) method for analyzing such media. This metamaterial may exhibit complete band gaps, thus being able to effectively attenuate elastic waves in all directions. The solutions yielded by the PWE method are rigorous at a lower computational cost when compared to the finite element (FE) method. Results are validated using the FE method, and the geometric parameters that influence the band gap formation mechanisms in this periodic medium are investigated.
引用
收藏
页数：15
相关论文
共 50 条
  • [31] Tunable three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial by initial stresses
    Zhenni Li
    Yize Wang
    Yuesheng Wang
    Applied Mathematics and Mechanics, 2022, 43 : 167 - 184
  • [32] Flexural wave band gaps in multi-resonator elastic metamaterial Timoshenko beams
    Miranda Jr, E. J. P.
    Dos Santos, J. M. C.
    WAVE MOTION, 2019, 91
  • [33] Tunable three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial by initial stresses
    Zhenni LI
    Yize WANG
    Yuesheng WANG
    Applied Mathematics and Mechanics(English Edition), 2022, 43 (02) : 167 - 184
  • [34] Tunable three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial by initial stresses
    Li, Zhenni
    Wang, Yize
    Wang, Yuesheng
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2022, 43 (02) : 167 - 184
  • [35] Calculating band structures of 2-dimensional periodic dispersive medium by a new method based on plane-wave expansion method
    Jiang, Ai-min
    Wu, Rui-xin
    2008 EUROPEAN MICROWAVE CONFERENCE, VOLS 1-3, 2008, : 926 - 928
  • [36] Flexural Wave Band Gaps in Phononic Crystal Euler-Bernoulli Beams Using Wave Finite Element and Plane Wave Expansion Methods
    Pedrosa de Miranda, Edson Jansen, Jr.
    Campos dos Santos, Jose Maria
    MATERIALS RESEARCH-IBERO-AMERICAN JOURNAL OF MATERIALS, 2017, 20 : 729 - 742
  • [37] Calculations of lamb wave band gaps and dispersions for piezoelectric phononic plates using Mindlin's theory-based plane wave expansion method
    Hsu, Jin-Chen
    Wu, Tsung-Tsong
    IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 2008, 55 (02) : 431 - 441
  • [38] Study on band gap characteristics of three-dimensional periodic structure wave impeding block
    Gao Meng
    Zhang Shuo
    Kong Xiang-Long
    ROCK AND SOIL MECHANICS, 2024, 45 (06) : 1651 - 1660
  • [39] FULL-WAVE SIMULATION OF A THREE-DIMENSIONAL METAMATERIAL PRISM
    Basilio, Lorena I.
    Langston, William L.
    Warne, Larry K.
    Johnson, William A.
    Sinclair, Michael B.
    MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2015, 57 (03) : 537 - 540
  • [40] Using the plane wave expansion method studying band-gap of one dimensional holographic photonic crystals
    Cheng, Yang
    Hongwai yu Jiguang Gongcheng/Infrared and Laser Engineering, 2010, 39 (02): : 256 - 259
12345