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Band structure of a magneto-electro-elastic phononic crystal nanobeam with surface effect and size effect

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Abstract

This paper proposes a magneto-electro-elastic (MEE) phononic crystal (PC) nanobeam with surface effect and size surface in order to investigate the bandgap properties and flexural wave propagation behaviors. The MEE-PC nanobeam designed in this paper is made of some finite periodic arrays of MEE material and epoxy segments. As a case study, the characteristics of flexural wave bandgap structures are size-dependent, and remarkably affected by surface effect when the dimension of PC beam reduces to the nanoscale. The influence of different parameters such as surface effect, size surface pre-stress, electric potential and magnetic potential loadings on the bandgap and wave propagation properties of MEE-PC nanobeam is investigated in detail. The theoretical result reveals that the edge frequencies and widths of the first four order bandgaps with surface effect, especially for high-frequency regions, are much higher than those without surface effect. Moreover, increase the external electrical field and magnetic field appropriately, the influence of surface effect and size effect on the bandgap properties are increased. These theoretical results would be helpful for the intelligent regulation of MEE-PC nanobeam and the design of nanoscale devices.

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The authors declare that the data supporting the findings of this study are available within the article. No new data were created during the study.

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Funding

This work is supported in part by the National Natural Science Foundation of China (grants nos. 11672007) and the Key Scientific and Technological Program of Henan Province (grant no. 222102110162).

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  1. College of Civil Aviation, Zhengzhou University of Aeronautics, Zhengzhou, 450015, China

    Xi-Ning Zhao & Yong-Wang Zhang

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  1. Xi-Ning Zhao
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  2. Yong-Wang Zhang
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Correspondence to Yong-Wang Zhang.

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Zhao, XN., Zhang, YW. Band structure of a magneto-electro-elastic phononic crystal nanobeam with surface effect and size effect. J Mater Sci: Mater Electron 34, 662 (2023). https://doi.org/10.1007/s10854-023-10054-0

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