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Multiple crossing points of Lamb wave propagating in a magneto-electro-elastic composite plate

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This article is concerned with the propagation of guided type-Lamb waves in a magneto-electro-elastic composite plate. As a numerical method, the ordinary differential equation with the Thomson Haskell parameterization of Stroh formalism is employed to determine the wave characteristics in the composite plate by imposing the traction-free boundary condition on the top and bottom surfaces. Multiple crossing appears in the dispersion curves between the symmetric and the antisymmetric Lamb modes, which makes the dispersion curves more complicated and interesting to study. We are trying in this research to find, are these modes really coupled and why? For that, a set of numerical results are presented like the dispersion curves, the non-dimensional frequency, bulk waves slowness curve as well as the mechanical displacement U1 and U3 versus the non-dimensional thickness. These results could be interesting for the analysis and design of new acoustic devices based on magneto-electro-elastic material as well as a good candidate for nondestructive testing technology.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 12061131013), the State Key Laboratory of Mechanics and Control of Mechanical Structures [grant number MCMS-E-0520K02], the Fundamental Research Funds for the Central Universities [grant number NE2020002, NS2019007], a project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).

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Correspondence to Hamdi Ezzin.

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Ezzin, H., Wang, B., Qian, Z. et al. Multiple crossing points of Lamb wave propagating in a magneto-electro-elastic composite plate. Arch Appl Mech 91, 2781–2793 (2021). https://doi.org/10.1007/s00419-021-01927-z

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