| | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
Archive of Issues
Total articles in the database: | | 12804 |
In Russian (Èçâ. ĐÀÍ. ̀̉̉): | | 8044
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In English (Mech. Solids): | | 4760 |
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<< Previous article | Volume 56, Issue 7 / 2021 | Next article >> |
V.N. Bakulin, "Block-Layer Approach for the Analysis of the Stress–Strain State of Three-Layer Irregular Cylindrical Shells of Rotation," Mech. Solids. 56 (7), 1451-1460 (2021) |
Year |
2021 |
Volume |
56 |
Number |
7 |
Pages |
1451-1460 |
DOI |
10.3103/S0025654421070050 |
Title |
Block-Layer Approach for the Analysis of the Stress–Strain State of Three-Layer Irregular Cylindrical Shells of Rotation |
Author(s) |
V.N. Bakulin (Institute of Applied Mechanics, Russian Academy of Sciences, Moscow, 125040 Russia, vbak@yandex.ru) |
Abstract |
The article describes the construction of a model for the layer-by-layer analysis of the
stress–strain state (SSS) of irregular sandwich cylindrical shells of rotation, which consists in the fact
that, if necessary, the shell wall, including the filler, is divided by thickness into separate layers, which
are then joined together and combined into blocks. The model makes it possible to take into account
the change in the geometric, physical and mechanical characteristics and parameters of the stress-strain state not only along the meridional and circumferential coordinates, but also along the thickness
of the shell and the filler layer, to adequately model the features of the layered-inhomogeneous structure, and also to take into account the discontinuity of the layers, the moment state of the bearing layers, the three-dimensional stress–strain state in the filler, various conditions of fixing and loading of
the layers. As a rule, it is not possible to carry out such a layer-by-layer analysis for most real structures
by analytical methods due to mathematical difficulties. The block-layer-by-layer finite-element
approach is applied. Models of layer-by-layer analysis are distinguished by a large dimension, to
reduce which it is proposed to use effective functions of approximation of deformations and displacements within finite elements. |
Keywords |
block-layer-by-layer analysis, stress and strain state, irregular cylindrical sandwich shells of revolution, effective approximations, approximating functions of generalized deformations and dis- placements, finite element models |
Received |
31 January 2021 | Revised |
18 March 2021 | Accepted |
17 September 2021 |
Link to Fulltext |
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