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MODEL FOR ANALYSIS OF THE STRESS-STRAIN STATE OF THREE-LAYER CYLINDRICAL SHELLS WITH RECTANGULAR CUTOUTS

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Abstract

The construction of a model for layer-by-layer analysis of the stress-strain state of three-layer 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.

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The work was carried out within the framework of the state assignment of the IPRIM RAS.

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  1. Institute of Applied Mechanics of Russian Academy of Sciences, 125040, Moscow, Russia

    V. N. Bakulin

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Correspondence to V. N. Bakulin.

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Translated by M.K. Katuev

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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, 102–110 (2022). https://doi.org/10.3103/S0025654422010095

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