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Abnormal dispersion of fundamental Lamb modes in FG plates: II—symmetric versus asymmetric variation

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Abstract

A closed-form dispersion equation for Lamb waves propagating in functionally graded (FG) plates with arbitrary varying anisotropic physical properties in transverse direction is constructed by applying Cauchy sextic formalism. Comparative analyses of the dispersion curves related to the fundamental modes of homogeneous and FG plates reveal their substantial and visually detected differences even at sufficiently small transverse inhomogeneity. The observed discrepancy in dispersion curves may serve for developing acoustic nondestructive methods for determination of possible transverse inhomogeneity.

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Acknowledgements

The work was supported by the Russian Science Foundation, Grant 20-49-08002.

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Authors and Affiliations

  1. Institute for Problems in Mechanics RAS, Moscow, Russia, 119526

    Sergey V. Kuznetsov

  2. Bauman Moscow State Technical University, Moscow, Russia, 105005

    Sergey V. Kuznetsov

  3. Moscow State University of Civil Engineering, Moscow, Russia, 129337

    Sergey V. Kuznetsov

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Correspondence to Sergey V. Kuznetsov.

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Kuznetsov, S.V. Abnormal dispersion of fundamental Lamb modes in FG plates: II—symmetric versus asymmetric variation . Z. Angew. Math. Phys. 72, 73 (2021). https://doi.org/10.1007/s00033-021-01513-x

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  • DOI: https://doi.org/10.1007/s00033-021-01513-x

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