Abstract:
It is proved that the conjugation conditions for elastic beams in the case of a nonideal joint are limiting in the construction of asymptotics for the conjugation problem for two thin elastic bodies if the boundary between the bodies is filled by slightly extendible material.
Citation:
Yu. A. Bogan, “On the Samarskii–Andreev Conjugation Conditions in the Theory of Elastic Beams”, Mat. Zametki, 92:5 (2012), 662–669; Math. Notes, 92:5 (2012), 606–611
\Bibitem{Bog12}
\by Yu.~A.~Bogan
\paper On the Samarskii--Andreev Conjugation Conditions in the Theory of Elastic Beams
\jour Mat. Zametki
\yr 2012
\vol 92
\issue 5
\pages 662--669
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\transl
\jour Math. Notes
\yr 2012
\vol 92
\issue 5
\pages 606--611
\crossref{https://doi.org/10.1134/S0001434612110028}
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Linking options:
https://www.mathnet.ru/eng/mzm9027
https://doi.org/10.4213/mzm9027
https://www.mathnet.ru/eng/mzm/v92/i5/p662
This publication is cited in the following 5 articles:
N. A. Nikolaeva, “Zadacha o ravnovesii uprugogo tela s treschinoi i tonkimi vklyucheniyami, kotorye sopryazheny mezhdu soboi”, Dalnevost. matem. zhurn., 24:1 (2024), 73–95
Khludnev A., “T-Shape Inclusion in Elastic Body With a Damage Parameter”, J. Comput. Appl. Math., 393 (2021), 113540
A. M. Khludnev, T. S. Popova, “The junction problem for two weakly curved inclusions in an elastic body”, Siberian Math. J., 61:4 (2020), 743–754
Khludnev A., Popova T., “Equilibrium Problem For Elastic Body With Delaminated T-Shape Inclusion”, J. Comput. Appl. Math., 376 (2020), 112870
Neustroeva N.V., Petrovich L.N., “Junction Problem For Euler-Bernoulli and Timoshenko Elastic Beams”, Sib. Electron. Math. Rep., 13 (2016), 26–37