Broadband elastic metamaterial with single negativity by mimicking lattice systems

被引：107
作者：
Liu, Yongquan [1 ,2 ]
Su, Xianyue [1 ]
Sun, C. T. [2 ]
机构：
[1] Peking Univ, Coll Engn, Dept Mech & Aerosp Engn, Beijing 100871, Peoples R China
[2] Purdue Univ, Sch Aeronaut & Astronaut, W Lafayette, IN 47907 USA
来源：
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS | 2015年 / 74卷
基金：
中国国家自然科学基金;
关键词：
Elastic metamaterial; Dispersion curve; Band gap; Lattice system; Wave propagation; COMPOSITE-MATERIALS;
D O I：
10.1016/j.jmps.2014.09.011
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The narrow bandwidth is a significant limitation of elastic metamaterials for practical engineering applications. In this paper, a broadband elastic metamaterial with single negativity (negative mass density or Young's modulus) is proposed by mimicking lattice systems. It has two stop bands and the bandwidth of the second one is infinite theoretically. The effect of the relevant parameters on band gaps is discussed. A continuum model is proposed and the selection of materials is discussed in detail. It shows that continuum metamaterials can be described accurately by using the lattice model, and the second stopband can be ultra-broad but not infinite. This discrepancy is investigated and a method is provided to calculate the upper limit of the second stopband for a continuum metamaterial. As a verification, the proposed metamaterial is used for wave mitigation over broadband frequency ranges. Moreover, the present method is extended to design 2D anisotropic elastic metamaterials, and a device to control the direction of elastic wave transmission is proposed as an example. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：158 / 174
页数：17
相关论文
共 28 条
  • [1] Surface resonant states and superlensing in acoustic metamaterials
    Ambati, Muralidhar
    Fang, Nicholas
    Sun, Cheng
    Zhang, Xiang
    [J]. PHYSICAL REVIEW B, 2007, 75 (19):
  • [2] Internally resonating lattices for bandgap generation and low-frequency vibration control
    Baravelli, Emanuele
    Ruzzene, Massimo
    [J]. JOURNAL OF SOUND AND VIBRATION, 2013, 332 (25) : 6562 - 6579
  • [3] Elastic composite materials having a negative stiffness phase can be stable
    Drugan, W. J.
    [J]. PHYSICAL REVIEW LETTERS, 2007, 98 (05)
  • [4] Ultrasonic metamaterials with negative modulus
    Fang, Nicholas
    Xi, Dongjuan
    Xu, Jianyi
    Ambati, Muralidhar
    Srituravanich, Werayut
    Sun, Cheng
    Zhang, Xiang
    [J]. NATURE MATERIALS, 2006, 5 (06) : 452 - 456
  • [5] Locally resonant acoustic metamaterials with 2D anisotropic effective mass density
    Huang, H. H.
    Sun, C. T.
    [J]. PHILOSOPHICAL MAGAZINE, 2011, 91 (06) : 981 - 996
  • [6] On the negative effective mass density in acoustic metamaterials
    Huang, H. H.
    Sun, C. T.
    Huang, G. L.
    [J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2009, 47 (04) : 610 - 617
  • [7] Wave attenuation mechanism in an acoustic metamaterial with negative effective mass density
    Huang, H. H.
    Sun, C. T.
    [J]. NEW JOURNAL OF PHYSICS, 2009, 11
  • [8] Lai Y, 2011, NAT MATER, V10, P620, DOI [10.1038/nmat3043, 10.1038/NMAT3043]
  • [9] Dramatically stiffer elastic composite materials due to a negative stiffness phase?
    Lakes, RS
    Drugan, WJ
    [J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2002, 50 (05) : 979 - 1009
  • [10] Extreme damping in composite materials with negative-stiffness inclusions
    Lakes, RS
    Lee, T
    Bersie, A
    Wang, YC
    [J]. NATURE, 2001, 410 (6828) : 565 - 567
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