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Abnormal dispersion of flexural Lamb waves in functionally graded plates

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Abstract

A closed-form dispersion equation for Lamb waves is obtained for analyzing dispersion in functionally graded (FG) plates with arbitrary anisotropy and arbitrary transverse inhomogeneity. The dispersion equation is derived and analyzed by a variant of the sextic formalism, previously developed for Lamb waves propagating in anisotropic layered plates with homogeneous layers. For the case of FG plates with transverse asymmetric inhomogeneity, some peculiarities in dispersion of the fundamental flexural Lamb mode are observed, revealing discrepancy in asymptotic behavior at high frequencies between homogeneous and FG isotropic plates.

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Acknowledgements

Author thanks Professor S. Sekerzh-Zenkovich for valuable discussions.

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Authors and Affiliations

  1. Institute for Problems in Mechanics RAS, Prosp. Vernadskogo, 101, Moscow, Russia, 119526

    Sergey V. Kuznetsov

  2. Bauman Moscow State Technical University, 2nd Institutskaya 5, Moscow, Russia, 105005

    Sergey V. Kuznetsov

  3. Moscow State University of Civil Engineering, Yaroslavskoe sh, 26, Moscow, Russia, 129337

    Sergey V. Kuznetsov

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  1. Sergey V. Kuznetsov
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Correspondence to Sergey V. Kuznetsov.

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Kuznetsov, S.V. Abnormal dispersion of flexural Lamb waves in functionally graded plates. Z. Angew. Math. Phys. 70, 89 (2019). https://doi.org/10.1007/s00033-019-1132-0

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  • DOI: https://doi.org/10.1007/s00033-019-1132-0

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