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Cauchy Formalism in the Theory of Acoustic Surface Waves

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Abstract

To describe the propagation of acoustic surface waves in an anisotropic layer, a six-dimensional complex formalism is introduced, a Hamiltonian is constructed, an analogue of the Rayleigh dissipative function, and an exponential fundamental matrix. Dispersion equations are obtained for a multilayer plate with different conditions on the boundary surfaces. Examples of the application of the Cauchy formalism to the analysis of the dispersion of Lamb waves are given.

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Funding

The author thanks the Russian Foundation for Basic Research (grant nos. 20-08-00419, 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 of the Russian Academy of Sciences, 119526, Moscow, Russia

    S. V. Kuznetsov

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

    S. V. Kuznetsov

  3. Moscow State University Of Civil Engineering (National Research University), 129337, 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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Translated by I. K. Katuev

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Kuznetsov, S.V. Cauchy Formalism in the Theory of Acoustic Surface Waves. Mech. Solids 55, 482–489 (2020). https://doi.org/10.3103/S0025654420040068

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  • DOI: https://doi.org/10.3103/S0025654420040068

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