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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2022, Volume 15, Issue 2, Pages 56–69
DOI: https://doi.org/10.14529/mmp220205
(Mi vyuru639)
 

Programming & Computer Software

Comparative analysis of software implementation efficiency of the semi-analytical methods for calculating wave fields in multilayer anisotropic composites

E. V. Glushkov, N. V. Glushkova, M. V. Vareldzhan

Kuban State University, Krasnodar, Russian Federation
References:
Abstract: We construct a numerical model of the excitation and propagation of traveling elastic waves in multilayer anisotropic plates. The algorithms implemented in the software package are based on explicit integral representations of the solution to the corresponding boundary value problems and the asymptotic representations derived from them for the zone farthest from the source. In the near-field zone, including under the source, the amplitude-frequency characteristics of a wave field are obtained by the numerical integrating of the improper path integrals. Three approaches to the calculation of wave fields are considered; a comparative analysis of their effectiveness is conducted based on numerical examples.
Keywords: layered composites, normal modes, integral and asymptotic representations of wave fields, low-cost algorythms.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FZEN-2020-0017
Received: 27.07.2021
Document Type: Article
UDC: 30-04
MSC: 74J15
Language: Russian
Citation: E. V. Glushkov, N. V. Glushkova, M. V. Vareldzhan, “Comparative analysis of software implementation efficiency of the semi-analytical methods for calculating wave fields in multilayer anisotropic composites”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:2 (2022), 56–69
Citation in format AMSBIB
\Bibitem{GluGluVar22}
\by E.~V.~Glushkov, N.~V.~Glushkova, M.~V.~Vareldzhan
\paper Comparative analysis of software implementation efficiency of the semi-analytical methods for calculating wave fields in multilayer anisotropic composites
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2022
\vol 15
\issue 2
\pages 56--69
\mathnet{http://mi.mathnet.ru/vyuru639}
\crossref{https://doi.org/10.14529/mmp220205}
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