Stress–Strain State and Stability of a Flexible Circular Cylindrical Shell with Transverse Shear Strains

A geometrically nonlinear problem for a long cylindrical shell compliant to transverse shear and subject to a local static load is formulated and exactly solved. The basic equations are derived using the geometrically nonlinear theory of shallow shells of the second order, Timoshenko’s hypothesis, a...

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Bibliographic Details
Published inInternational applied mechanics Vol. 57; no. 5; pp. 554 - 567
Main Author Storozhuk, E. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.09.2021
Springer
Springer Nature B.V
Subjects
Anisotropy
Applications of Mathematics
Cylindrical shells
Engineering
Shallow shells
Shear strain
Static loads
Transverse shear
local loading
geometric nonlinearity
long cylindrical shell
exact solution
transverse shear
generalized functions
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ISSN1063-7095
1573-8582
DOI10.1007/s10778-021-01106-1

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Summary:A geometrically nonlinear problem for a long cylindrical shell compliant to transverse shear and subject to a local static load is formulated and exactly solved. The basic equations are derived using the geometrically nonlinear theory of shallow shells of the second order, Timoshenko’s hypothesis, and Hooke’s law. The results are obtained using generalized functions for a shell hinged at the longitudinal edges under piecewise-uniform pressure.
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ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-021-01106-1