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IssuesArchive of Issues2022-1pp.102-110

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Bakulin V.N., "Model for Analysis of the Stress-Strain State of Three-Layer Cylindrical Shells with Rectangular Cutouts," Mech. Solids. 57 (1), 102-110 (2022)
Year 2022 Volume 57 Number 1 Pages 102-110
DOI 10.3103/S0025654422010095
Title Model for Analysis of the Stress-Strain State of Three-Layer Cylindrical Shells with Rectangular Cutouts
Author(s) Bakulin V.N. (Institute of Applied Mechanics of Russian Academy of Sciences, Moscow, 125040 Russia, vbak@yandex.ru)
Abstract The construction of a model for layer-by-layer analysis of the stress-strain state of threelayer cylindrical shells of revolution with rectangular cutouts is considered. As a rule, it is not possible to carry out layer-by-layer analysis for shells with rectangular cutouts by analytical methods due to mathematical difficulties, therefore a finite element approach is used. Models of layer-by-layer analysis are characterized by a large dimension, and the presence of cutouts leads to the need to refine the mesh of partitions, which further increases the dimension of the problem, to reduce which effective functions of approximation of deformations and displacements within finite elements are applied. The model considered makes it possible to take into account the features of the layered heterogeneous structure, as well as the presence of cutouts. As an example, a study of the stress-strain state in the layers of three-layer cylindrical shells of revolution with rectangular cutouts has been carried out.
Keywords three-layer cylindrical shells of revolution, rectangular cutouts, stress-strain state, layer-by-layer approach, finite element models, approximating functions of generalized deformations and displacements
Received 20 March 2021Revised 22 March 2021Accepted 29 March 2021
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