Geodesic
Axisymmetric loading of a circular physically nonlinear three-layer plate in its plane
Problemy fiziki, matematiki i tehniki, no. 3 (2021), pp. 24-29

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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.
Keywords: round three-layer plate, displacements, axisymmetric tension-compression, plasticity. 
@article{PFMT_2021_3_a3,
     author = {A. V. Nestsiarovich},
     title = {Axisymmetric loading of a circular physically nonlinear three-layer plate in its plane},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {24--29},
     publisher = {mathdoc},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2021_3_a3/}
}
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A. V. Nestsiarovich. Axisymmetric loading of a circular physically nonlinear three-layer plate in its plane. Problemy fiziki, matematiki i tehniki, no. 3 (2021), pp. 24-29. http://geodesic.mathdoc.fr/item/PFMT_2021_3_a3/