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在半无限介质中引导近源弹性波。

Guiding near-source elastic waves in a semi-infinite medium.

作者信息

Cui Kemeng, Xu Zhao-Dong, Palermo Antonio, Marzani Alessandro, Pu Xingbo

机构信息

China-Pakistan Belt and Road Joint Laboratory on Smart Disaster Prevention of Major Infrastructures, School of Civil Engineering, Southeast University , Nanjing 211189, People's Republic of China.

Department of Civil, Chemical, Environmental and Materials Engineering, University of Bologna , Bologna 40136, Italy.

出版信息

Philos Trans A Math Phys Eng Sci. 2024 Sep 9;382(2278):20240039. doi: 10.1098/rsta.2024.0039. Epub 2024 Jul 29.

Abstract

In this work, we propose elastic metamaterials with phase discontinuities to steer the propagation of near-source bulk waves in a semi-infinite elastic medium. Our design exploits an array of embedded subwavelength resonators with tailored masses to attain a complete phase shift spanning [Formula: see text]. This phase control allows for diverse wave functionalities, such as directional refraction and energy focusing. Through the use of dispersion diagrams and the generalized Snell's law, along with a multiple scattering formulation, we analytically demonstrate the effectiveness of our design in achieving the desired wavefront manipulation. The proposed design has the potential to advance the field of guiding elastic waves using metamaterials and find practical applications in areas such as isolating ground-borne vibrations in densely urbanized regions and energy harvesting. This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 1)'.

摘要

在这项工作中,我们提出了具有相位不连续性的弹性超材料,以操控半无限弹性介质中近源体波的传播。我们的设计利用了一系列带有定制质量块的嵌入式亚波长谐振器,以实现跨越[公式:见正文]的完整相移。这种相位控制允许实现多种波功能,如定向折射和能量聚焦。通过使用色散图和广义斯涅尔定律,以及多重散射公式,我们通过分析证明了我们的设计在实现所需波前操控方面的有效性。所提出的设计有潜力推动使用超材料引导弹性波的领域发展,并在诸如在人口密集的城市化地区隔离地面传播振动和能量收集等领域找到实际应用。本文是主题为“弹性和声学超材料科学的当前发展(第1部分)”的一部分。

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