Elastic twisting metamaterial for perfect longitudinal-torsional wave mode conversion

doi:10.1007/s10483-023-2978-7

Abstract

Abstract: In this work, we design a twisting metamaterial for longitudinal-torsional (L-T) mode conversion in pipes through exploring the theory of perfect transmodal Fabry-Perot interference (TFPI). Assuming that the axial and radial motions in pipes can be decoupled, we find that the metamaterial can be designed in a rectangular coordinate system, which is much more convenient than that in a cylindrical system. Numerical calculation with detailed microstructures shows that an efficient L-T mode conversion can be obtained in pipes with different radii. In addition, we fabricate mode-converting microstructures on an aluminum pipe and conduct ultrasonic experiments, and the results are in good agreement with the numerical calculations. We expect that the proposed L-T mode-converting metamaterial and its design methodology can be applied in various ultrasonic devices.

Key words: elastic wave, mode conversion, elastic metamaterial, ultrasonic device

2010 MSC Number:

74K25

Shengjie YAO, Yijun CHAI, Xiongwei YANG, Yueming LI. Elastic twisting metamaterial for perfect longitudinal-torsional wave mode conversion. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 515-524.

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