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An Asymptotic Approach to the Calculation of Wave Fields in a Layer with a Defect with a Small Characteristic Size

  • CLASSICAL PROBLEMS OF LINEAR ACOUSTICS AND WAVE THEORY
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Abstract

Problems about vibrations of an orthotropic layer with a cylindrical cavity with an arbitrary transverse cross section under the action of a load applied on its surface are considered. In the case of cavities with a small relative size, an asymptotic approach to the calculation of fields is proposed. An estimate of the applicability area of the asymptotic approach in comparison with the method of boundary integral equations, as well as a comparison with the solution obtained based on the Born approximation are presented.

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Funding

This work was performed within the framework of the Research and Development in Priority Areas in Developing the Scientific and Technological Complex of Russia for 2014–2020 federal target program and supported by the state represented by the Russian Ministry of Science and Higher Education (project identifier RFMEFI60718X0203).

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Authors and Affiliations

  1. Southern Federal University, 344006, Rostov-on-Don, Russia

    A. O. Vatul’yan

  2. Southern Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences, 362027, Vladikavkaz, Russia

    A. O. Vatul’yan

  3. Rostov State Transport University, 344038, Rostov-on-Don, Russia

    O. A. Belyak

Authors
  1. A. O. Vatul’yan
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  2. O. A. Belyak
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Corresponding authors

Correspondence to A. O. Vatul’yan or O. A. Belyak.

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Translated by A. Nikol’skii

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Vatul’yan, A.O., Belyak, O.A. An Asymptotic Approach to the Calculation of Wave Fields in a Layer with a Defect with a Small Characteristic Size. Acoust. Phys. 66, 213–219 (2020). https://doi.org/10.1134/S1063771020020128

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  • DOI: https://doi.org/10.1134/S1063771020020128

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