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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Volume 63, Issue 2, Pages 151–165
DOI: https://doi.org/10.15372/PMTF20220214
(Mi pmtf38)
 

This article is cited in 1 scientific paper (total in 1 paper)

Bending of thin electromagnetic plates

S. A. Kaloerov, A. V. Seroshtanov

Donetsk National University, 83001, Donetsk, Russia
References:
Abstract: Main correlations in the theory of bending of thin electromagnetoelastic plates are obtained, in which complex potentials are used. Exact analytical solutions are obtained for the problems of bending an elliptical plate and an infinite plate with an elliptical hole. It is established that no electric or magnetic inductions arise in the case of a simply connected finite plate under mechanical influences, and no mechanical stresses arise under the action of inductions, despite the fact that the piezoelectric effect occurs due to deformations, displacements, and field potentials. The piezoelectric effect in the case of an infinite simply connected plate is always observed and has a significant effect on the values of bending moments. The influence of the physical and mechanical properties of materials and the geometric characteristics of holes on the values of bending moments In the case of a plate with an elliptical hole is studied.
Keywords: theory of bending of thin plates, electromagnetoelasticity, complex potentials, series method, exact solutions, piezoelectric effect.
Received: 17.12.2020
Revised: 09.04.2021
Accepted: 26.04.2021
English version:
Journal of Applied Mechanics and Technical Physics, 2022, Volume 63, Issue 2, Pages 308–320
DOI: https://doi.org/10.1134/S0021894422020146
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: S. A. Kaloerov, A. V. Seroshtanov, “Bending of thin electromagnetic plates”, Prikl. Mekh. Tekh. Fiz., 63:2 (2022), 151–165; J. Appl. Mech. Tech. Phys., 63:2 (2022), 308–320
Citation in format AMSBIB
\Bibitem{KalSer22}
\by S.~A.~Kaloerov, A.~V.~Seroshtanov
\paper Bending of thin electromagnetic plates
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2022
\vol 63
\issue 2
\pages 151--165
\mathnet{http://mi.mathnet.ru/pmtf38}
\crossref{https://doi.org/10.15372/PMTF20220214}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4450949}
\elib{https://elibrary.ru/item.asp?id=48408474}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2022
\vol 63
\issue 2
\pages 308--320
\crossref{https://doi.org/10.1134/S0021894422020146}
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  • This publication is cited in the following 1 articles:
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