基于阻抗理论的弹性超表面，实现精确的模式转换和保存

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids Pub Date : 2025-06-18 DOI:10.1016/j.jmps.2025.106231

Mu Jiang , Hong-Tao Zhou , Tong Zhu , Yan-Feng Wang , Badreddine Assouar , Yue-Sheng Wang

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引用次数: 0

摘要

纵波和横波之间的耦合对实现精确和灵活的波调制提出了挑战。超表面为波调制提供了一个很有前途的平台。基于广义斯涅尔定律的设计受限于基于单位的分析，缺乏复杂二维波场所需的通用性和效率。受声学最新发展的启发，在这项工作中建立了精确操纵面内弹性波的阻抗理论。作为这一理论框架的验证，我们展示了通过设计超表面波前操作的模式保存和模式转换。推导了它们的阻抗界面条件，并分析了广义斯涅尔定律用于精确操作的局限性。通过拓扑优化，得到满足阻抗要求的单元胞，并进一步组装成弹性超表面。通过数值模拟和实验验证了这种基于阻抗的精确面内波调制方法的有效性。

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Impedance theory-based elastic metasurface enabling precise mode conversion and preservation

The coupling between longitudinal and transverse waves poses challenges for achieving precise and flexible wave modulation. Metasurface provides a promising platform for wave modulation. Designs derived from the generalized Snell’s law are constrained by unit-based analysis, lacking the versatility and efficiency required for complex two-dimensional wavefields. Inspired by recent developments in acoustics, impedance theory for precise manipulation of in-plane elastic waves is established in this work. As verification of this theoretical framework, we demonstrate mode preservation and mode conversion with wavefront manipulation by the design of metasurfaces. Their impedance interface conditions are derived, and the limitations of the generalized Snell’s law for precise manipulation are analyzed. Through topology optimization, unit cells satisfying the impedance requirements are obtained and further assembled into elastic metasurfaces. The effectiveness of this impedance-based approach for precise in-plane wave modulation is successfully validated through both numerical simulations and experimental measurements.

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来源期刊

Journal of The Mechanics and Physics of Solids 物理-材料科学：综合

CiteScore

9.80

自引率

9.40%

发文量

276

审稿时长

52 days

期刊介绍： The aim of Journal of The Mechanics and Physics of Solids is to publish research of the highest quality and of lasting significance on the mechanics of solids. The scope is broad, from fundamental concepts in mechanics to the analysis of novel phenomena and applications. Solids are interpreted broadly to include both hard and soft materials as well as natural and synthetic structures. The approach can be theoretical, experimental or computational.This research activity sits within engineering science and the allied areas of applied mathematics, materials science, bio-mechanics, applied physics, and geophysics. The Journal was founded in 1952 by Rodney Hill, who was its Editor-in-Chief until 1968. The topics of interest to the Journal evolve with developments in the subject but its basic ethos remains the same: to publish research of the highest quality relating to the mechanics of solids. Thus, emphasis is placed on the development of fundamental concepts of mechanics and novel applications of these concepts based on theoretical, experimental or computational approaches, drawing upon the various branches of engineering science and the allied areas within applied mathematics, materials science, structural engineering, applied physics, and geophysics. The main purpose of the Journal is to foster scientific understanding of the processes of deformation and mechanical failure of all solid materials, both technological and natural, and the connections between these processes and their underlying physical mechanisms. In this sense, the content of the Journal should reflect the current state of the discipline in analysis, experimental observation, and numerical simulation. In the interest of achieving this goal, authors are encouraged to consider the significance of their contributions for the field of mechanics and the implications of their results, in addition to describing the details of their work.