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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 6, Pages 196–203
DOI: https://doi.org/10.15372/PMTF20170619
(Mi pmtf652)
 

Solving the problem of bending of multiply connected plates with elastic inclusions

S. A. Kaloerov, A. A. Koshkin

Donetsk National University, Donetsk, 83001, Ukraine
Abstract: This paper describes a method for determining the strain state of a thin anisotropic plate with elastic arbitrarily arranged elliptical inclusions. Complex potentials are used to reduce the problem to determining functions of generalized complex variables, which, in turn, comes down to a undetermined system of linear algebraic equations, solved by singular expansions. This paper presents the results of numerical calculations that helped establish the influence of rigidity of elastic inclusions, distances between inclusions, and their geometric characteristics on the bending moments occurring in the plate. It is certain that the specific properties of distribution of moments near the apexes of linear elastic inclusions, characterized by moment intensity coefficients, occur only in the case of sufficiently rigid and elastic inclusions.
Keywords: anisotropic plate, bending of plates, elastic inclusions, moment intensity coefficients, complex potentials, generalized least squares method.
Received: 21.05.2016
Revised: 12.09.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 6, Pages 1123–1129
DOI: https://doi.org/10.1134/S0021894417060190
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: S. A. Kaloerov, A. A. Koshkin, “Solving the problem of bending of multiply connected plates with elastic inclusions”, Prikl. Mekh. Tekh. Fiz., 58:6 (2017), 196–203; J. Appl. Mech. Tech. Phys., 58:6 (2017), 1123–1129
Citation in format AMSBIB
\Bibitem{KalKos17}
\by S.~A.~Kaloerov, A.~A.~Koshkin
\paper Solving the problem of bending of multiply connected plates with elastic inclusions
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 6
\pages 196--203
\mathnet{http://mi.mathnet.ru/pmtf652}
\crossref{https://doi.org/10.15372/PMTF20170619}
\elib{https://elibrary.ru/item.asp?id=30676174}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 6
\pages 1123--1129
\crossref{https://doi.org/10.1134/S0021894417060190}
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