Analyzing the stress–strain state of thick cylindrical shells

Two approaches to the analysis of the stress–strain state of thick cylindrical shells are elaborated. The shell is divided by concentric cross-sectional circles into several coaxial cylindrical shells. Each of these shells has its own curvature determined on its midline. The stress–strain state of t...

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Veröffentlicht in:International applied mechanics 2011-10, Vol.47 (4), p.449-456
Hauptverfasser: Marchuk, O. V., Il’chenko, Ya. L., Gnedash, S. V.
Format: Artikel
Sprache:eng
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Zusammenfassung:Two approaches to the analysis of the stress–strain state of thick cylindrical shells are elaborated. The shell is divided by concentric cross-sectional circles into several coaxial cylindrical shells. Each of these shells has its own curvature determined on its midline. The stress–strain state of the original shell is described by satisfying the interface conditions between the component shells. The distribution of unknown functions throughout the thickness is determined by finding the analytic solution of a system of differential equations in the first approach and is approximated by polynomial functions in the second approach. The stress–strain state of thick shells is analyzed. It is revealed that the effect of reduction becomes stronger with increasing curvature
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-011-0471-0