| | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
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<< Previous article | Volume 44, Issue 4 / 2009 | Next article >> |
P. E. Tovstik, "Stability of a Transversally Isotropic Cylindrical Shell under Axial Compression," Mech. Solids. 44 (4), 552-564 (2009) |
Year |
2009 |
Volume |
44 |
Number |
4 |
Pages |
552-564 |
DOI |
10.3103/S0025654409040074 |
Title |
Stability of a Transversally Isotropic Cylindrical Shell under Axial Compression |
Author(s) |
P. E. Tovstik (Saint-Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034 Russia, peter.tovstik@mail.ru) |
Abstract |
We consider the stability of a thin transversally isotropic
circular cylindrical shell under axial compression. We use a local approach according to which the buckling deflection is sought in the form of a doubly periodic function of curvilinear coordinates and the boundary conditions are ignored. We compare the solutions obtained according to the two-dimensional Kirchhoff-Love (KL) and Timoshenko-Reissner (TR) models with the solutions constructed according to the three-dimensional theory. Attention is mainly paid to the case of very small shear stiffness in the transverse direction. |
Keywords |
surface vibrations and waves, plate, elastic basement, anisotropy, initial stresses, stability |
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|
Received |
04 October 2007 |
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