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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2018, Volume 59, Issue 6, Pages 88–101
DOI: https://doi.org/10.15372/PMTF20180609 (Mi pmtf504) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Determining the thermo-electro-magneto-elastic state of multiply connected piecewise-homogeneous piezoelectric plates

S. A. Kaloerov, E. S. Glushankov

Donetsk National University, 83001, Donetsk, Ukraine
Full-text PDF (305 kB) Citations (1)
DOI: https://doi.org/10.15372/PMTF20180609
Abstract: A method for studying the thermo-electro-magneto-elastic state of a multiply connected piecewise-homogeneous piezoelectric plate under the action of a linear heat flux is proposed. The solution of a problem using complex potentials and the generalized least squares method is reduced to solving a system of linear algebraic equations with respect to unknown expansion coefficients of functions into Laurent series and Faber polynomials. For the case of a plate with one inclusion, an exact analytical solution of the problem is obtained. The results of the numerical studies, which determine the effect of the electric and magnetic properties of the plate materials and inclusions and their location on the main characteristics of the thermo-electro-magneto-elastic state are described.
Keywords: linear heat flux, piezoelectric plate, inclusions, temperature stresses, stresses and inductions of the electromagnetic field, generalized least squares method.
Received: 05.03.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2018, Volume 59, Issue 6, Pages 1036–1048
DOI: https://doi.org/10.1134/S0021894418060093
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: S. A. Kaloerov, E. S. Glushankov, “Determining the thermo-electro-magneto-elastic state of multiply connected piecewise-homogeneous piezoelectric plates”, Prikl. Mekh. Tekh. Fiz., 59:6 (2018), 88–101; J. Appl. Mech. Tech. Phys., 59:6 (2018), 1036–1048
Citation in format AMSBIB
\Bibitem{KalGlu18}
\by S.~A.~Kaloerov, E.~S.~Glushankov
\paper Determining the thermo-electro-magneto-elastic state of multiply connected piecewise-homogeneous piezoelectric plates
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 6
\pages 88--101
\mathnet{http://mi.mathnet.ru/pmtf504}
\crossref{https://doi.org/10.15372/PMTF20180609}
\elib{https://elibrary.ru/item.asp?id=36517947}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 6
\pages 1036--1048
\crossref{https://doi.org/10.1134/S0021894418060093}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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