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Resonance phenomena in layered media: merging proper and quasi-resonances

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Abstract

The appearance of zero group velocity (ZGV) in the higher branches of Lamb waves propagating in three layered plates is analyzed. The ZGV located in a close vicinity of the cutoff frequency is observed, and the relationship between the ZGV and the transverse quasi-resonance is discussed. It is stated that the revealed coincidence of these resonances can lead not only to the effect of “ringing”, but also to damage of the material. The analysis is based on a combination of Cauchy formalism and the exponential fundamental matrix method.

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  • 08 April 2024

    In the original publication, ref. 27 was incorrect and it has been corrected now.

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    S. V. Kuznetsov

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Kuznetsov, S.V. Resonance phenomena in layered media: merging proper and quasi-resonances. Z. Angew. Math. Phys. 74, 245 (2023). https://doi.org/10.1007/s00033-023-02142-2

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