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Inverse Problem of Identifying a Small Defect Based on an Asymptotic Method

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Abstract

We consider the inverse problem of reconstructing a cavity of small characteristic size in an orthotropic layer based on information about the field of layer surface displacements measured within the framework of frequency sensing. Resolving equations in the inverse problem are based on the system of boundary integral equations formulated only along the cavity boundary. In the case of antiplane oscillations, based on an asymptotic approach, we derive formulas for characterizing a small defect. Results of computational experiments are presented.

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Funding

This work was carried out as part of the federal special-purpose program “Research and Development in Priority Directions for the Development of the Russian Science and Technology Complex for 2014–2020” with financial support from the state represented by the Ministry of Science and Higher Education of the Russian Federation, project no. 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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Correspondence to A. O. Vatul’yan or O. A. Belyak.

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Translated by V. Potapchouck

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Vatul’yan, A.O., Belyak, O.A. Inverse Problem of Identifying a Small Defect Based on an Asymptotic Method. Russ J Nondestruct Test 56, 549–555 (2020). https://doi.org/10.1134/S1061830920070074

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  • DOI: https://doi.org/10.1134/S1061830920070074

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