Abstract:
Direct and inverse problems of oscillations of an anisotropic layer with a cylindrical cavity of an arbitrary cross-sectional shape under the action of a load applied to the layer surface are considered. An asymptotic approach to solving these problems with cavities of small relative sizes is proposed. Numerical results of solving direct and inverse problems are presented.
Keywords:
oscillations of semi-bounded solids with cavities, asymptotic, boundary integral equations.
Citation:
A. O. Vatulyan, O. A. Belyak, “Various methods of reconstruction of a cavity in an orthotropic layer”, Prikl. Mekh. Tekh. Fiz., 50:3 (2009), 181–189; J. Appl. Mech. Tech. Phys., 50:3 (2009), 512–518
\Bibitem{VatBel09}
\by A.~O.~Vatulyan, O.~A.~Belyak
\paper Various methods of reconstruction of a cavity in an orthotropic layer
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 3
\pages 181--189
\mathnet{http://mi.mathnet.ru/pmtf1754}
\elib{https://elibrary.ru/item.asp?id=11928595}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 3
\pages 512--518
\crossref{https://doi.org/10.1007/s10808-009-0068-0}
Linking options:
https://www.mathnet.ru/eng/pmtf1754
https://www.mathnet.ru/eng/pmtf/v50/i3/p181
This publication is cited in the following 3 articles:
O. A. Belyak, I. V. Kolesnikov, T. V. Suvorova, Lecture Notes in Mechanical Engineering, Proceedings of the 9th International Conference on Industrial Engineering, 2023, 479
A. O. Vatul'yan, O. A. Belyak, “Inverse Problem of Identifying a Small Defect Based on an Asymptotic Method”, Russ J Nondestruct Test, 56:7 (2020), 549
A. O. Vatul'yan, O. A. Belyak, “An Asymptotic Approach to the Calculation of Wave Fields in a Layer with a Defect with a Small Characteristic Size”, Acoust. Phys., 66:3 (2020), 213
Citation in format AMSBIB
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