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Abnormal dispersion of Lamb waves in stratified media

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Abstract

Dispersion analysis of Lamb waves propagating in stratified plates containing a large number (\(>50\)) of layers with alternating contrast physical properties is done by applying Cauchy sextic formalism coupled with the exponential fundamental matrix method Kuznetsov (Acoust Phys 60:95, 2014); Kuznetsov (Z Angew Math Phys 70(89):1, 2019); Kuznetsov (Wave Motion 84:1–7, 2019). This approach is suitable for analyzing dispersion properties of Lamb waves at a broad frequency range. In case of the stratified plates, several interesting phenomena relating to dispersion curves of Lamb waves are observed, revealing substantial discrepancy comparing with the homogeneous plates.

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Acknowledgements

Author thanks the RFBR Grants 18-58-41001 and 19-01-00100 for partial financial support.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics RAS, Moscow, Russia

    S. V. Kuznetsov

  2. Bauman Moscow State Technical University, Moscow, Russia

    S. V. Kuznetsov

  3. Moscow State University of Civil Engineering, Moscow, Russia

    S. V. Kuznetsov

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  1. S. V. Kuznetsov
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Correspondence to S. V. Kuznetsov.

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Kuznetsov, S.V. Abnormal dispersion of Lamb waves in stratified media. Z. Angew. Math. Phys. 70, 175 (2019). https://doi.org/10.1007/s00033-019-1222-z

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  • DOI: https://doi.org/10.1007/s00033-019-1222-z

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