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IssuesArchive of Issues2009-4pp.552-564

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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
References
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Received 04 October 2007
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