Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes
Article
Article Title | Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes |
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ERA Journal ID | 32483 |
Article Category | Article |
Authors | Bauer, S. M. (Author), Ermakov, A. M. (Author), Kashtanova, S. V. (Author) and Morozov, N. F. (Animator) |
Journal Title | Vestnik: Mathematics (St. Petersburg University) |
Vestnik: Mathematics (St. Petersburg University) (Vestnik: Mathematics (Sankt-Peterburgskii Universitet)) | |
Journal Citation | 44 (1), p. Article 13 |
Year | 2011 |
Place of Publication | New York, USA |
ISSN | 1025-3106 |
1063-4541 | |
1934-7855 | |
Digital Object Identifier (DOI) | https://doi.org/10.3103/S1063454111010055 |
Web Address (URL) | http://link.springer.com/article/10.3103/S1063454111010055 |
Abstract | Stress-strain state of multilayer anisotropic cylindrical shells under a local pressure is studied. Such a problem may model the bending of an asbestos nanotube under the action of a research probe. In earlier works, these authors showed that the application of classical shell theories yields results far from experimental data. More accurate results are obtained by taking into account additional factors, such as the change of the transverse displacement magnitude (according to the Timoshenko-Reissner theory) or the layered structure of asbestos and cylindrical anisotropy (according to the Rodinova-Titaev-Chernykh theory). In the present paper, yet another shell theory, the Palii-Spiro theory, is applied to solve the problem; this theory was developed for shall of average thickness and is based on the following assumptions: (a) the rectilinear fibers of the shell perpendicular to its middle surface before deformation remain rectilinear after deformation; (b) the cosine of the angle between the shell of such fibers and the middle surface of the deformed shell equals the averaged angle of the transverse displacement. Deformation field are studied with the use of nonclassical (the Rodinova-Titaev-Chernykh and Palii-Spiro) shell theories; a comparison with results obtained for three-dimensional models with the use of the Ansys 11 package is performed. Original Russian Text © S.M. Bauer, A.M. Ermakov, S.V. Kashtanova, N.F. Morozov, 2011, published in Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya, 2011, No. 1, pp. 23–31. |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
490410. Partial differential equations | |
401707. Solid mechanics | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Saint Petersburg State University, Russia |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q3q27/application-of-nonclassical-models-of-shell-theory-to-study-mechanical-parameters-of-multilayer-nanotubes
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