Abstract:
The displacements in a circular physically nonlinear three-layer plate under axisymmetric thermal force loading in its plane are
investigated. For thin bearing layers, the relations of the theory of small elastic-plastic deformations are used. A relatively thick
filler is physically non-linearly elastic. The distributed load depends on the radial coordinate and is applied in the median plane
of the filler. Systems of differential equations of equilibrium in forces and in displacements are given. To solve the boundary
value problem, an iteration method based on the Ilyushin elastic solution method is proposed. The numerical approbation of the
obtained solution is carried out.
\Bibitem{Nes21}
\by A.~V.~Nestsiarovich
\paper Axisymmetric loading of a circular physically nonlinear three-layer plate in its plane
\jour PFMT
\yr 2021
\issue 3(48)
\pages 24--29
\mathnet{http://mi.mathnet.ru/pfmt791}
\crossref{https://doi.org/10.54341/20778708_2021_3_48_24}
Linking options:
https://www.mathnet.ru/eng/pfmt791
https://www.mathnet.ru/eng/pfmt/y2021/i3/p24
This publication is cited in the following 2 articles:
E. I. Starovoitov, A. V. Nesterovich, “Neosesimmetrichnoe nagruzhenie uprugoplasticheskoi trekhsloinoi plastiny v svoei ploskosti”, Zhurn. Belorus. gos. un-ta. Matem. Inf., 2 (2022), 57–69
A. G. Kozel, “Termouprugii izgib krugovoi trekhsloinoi plastiny, svyazannoi s osnovaniem Pasternaka”, PFMT, 2022, no. 2(51), 31–37
Citation in format AMSBIB
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