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arXiv 2602.20172physics.opticscond-mat.mtrl-sciphysics.app-ph

分级各向异性超材料用于弹性波模式转换

Graded anisotropic metamaterials for elastic wave mode conversion

Jagannadh Boddapati, Jihoon Ahn, Alexander C Ogren, Chiara Daraio

AI总结:

本研究提出利用二维功能梯度各向异性超材料实现弹性波纵向-剪切模式转换,通过梯度设计和有限元分析验证了在高频范围内的高效转换性能。

摘要:

高效地在界面处传输弹性波对于医疗成像、地震隔离和换能器设计等应用至关重要。材料性质的突变显著阻碍波的传输,导致反射。这种限制被称为阻抗不匹配,对于不同波型之间的模式转换而言,由于极化不匹配变得更加显著。在本研究中,我们探讨了一种机制,利用二维功能梯度各向异性超材料来促进纵向-剪切模式转换,当波从刚性介质传播到柔性介质时。通过在功能梯度超材料中嵌入密度和各向异性形状梯度,缓解了由极化引起的阻抗不匹配,并实现了高效的模式转换。我们使用单元格色散分析来通过色散行为的梯度和模式之间的耦合来调整用于模式转换的频率范围。通过频域有限元分析,我们展示了在具有大刚度对比度的界面处,在1-10 kHz范围内实现宽频带的模式转换。然后,我们通过全场速度测量实验验证并量化了模式转换。我们进一步将该方法应用于设计一个能够转换径向-切向波模式的装置。

英文摘要:

Efficient transmission of elastic waves across interfaces is central to several applications, including medical imaging, seismic isolation, and transducer design. Interfaces with abrupt changes in the material properties significantly impede wave transmission, leading to reflections. This limitation, known as impedance mismatch, becomes even more prominent for mode conversion between different wave types due to polarization mismatch. In this study, we investigate a mechanism employing two-dimensional functionally graded anisotropic metamaterials to facilitate longitudinal--shear mode conversion as waves propagate from a stiff to a compliant medium. By embedding density and anisotropic shape gradients within the functionally graded metamaterial, polarization-induced impedance mismatch is mitigated and efficient mode conversion is enabled. We use unit cell dispersion analysis to tailor the frequency range for mode conversion through gradation in the dispersion behavior and coupling between modes. Using frequency-domain finite element analysis, we demonstrate broadband mode conversion across interfaces with large stiffness contrast operating in the 1--10 kHz range. We then experimentally validate and quantify mode conversion through full-field velocity measurements on an additively manufactured specimen. We further apply the methodology to design a device capable of converting radial--tangential wave modes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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