Wave attenuation and negative refraction of elastic waves in a single-phase elastic metamaterial
Wave attenuation and negative refraction of elastic waves in a single-phase elastic metamaterial
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DOI：
10.1007/s00707-018-2127-1
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发表时间：
2018-02
期刊：
影响因子：
2.7
通讯作者：
Sheng Sang;E. Sandgren;Ziping Wang
中科院分区：
文献类型：
--
作者：
Sheng Sang;E. Sandgren;Ziping Wang
本文提出并研究了一种具有周期性手征局域谐振器的单相弹性超材料，该材料由均匀分布的韧带围绕的圆柱形中心芯体组成，以正方形晶格嵌入基体中。通过解析和数值分析，证明了单胞的平移共振会导致负的有效质量密度，而转动共振会导致负的有效模量。它们也可以一起工作，产生双负有效材料特性。研究表明，在这种弹性异向介质中，由于负的有效质量密度，弹性波会发生衰减。此外，在仿真中还考虑了基体材料的阻尼。最后，我们研究了负能带的存在，这导致了负折射的物理，这是由同时平移和转动共振的单位细胞。本文的工作为单相弹性异向材料的设计提供了理论基础。
In this paper, we propose and study a single-phase elastic metamaterial with periodic chiral local resonator, which is composed of cylindrical central core surrounded by evenly distributed ligaments and embedded in the matrix in a square lattice. Based on the analytical and numerical analysis, we prove that the translational resonance of the unit cell can lead to negative effective mass density, and the rotational resonance of it can produce negative effective modulus. They can also work together to generate double-negative effective material properties. The wave attenuation of elastic waves in this elastic metamaterial is also demonstrated, which is owing to the negative effective mass density. In addition, the damping of the base material is also considered in the simulation. We finally examine the existence of negative band, and this leads to the physics of negative refraction, which is induced by simultaneous translational and rotational resonance of the unit cell. Our work can serve as the theoretical foundation for the design of single-phase elastic metamaterials.