Bauer, S. M. and Ermakov, Andrei and Kashtanova, S. V. and Morozov, N. F. (2011) Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes. Vestnik St. Petersburg University: Mathematics, 44 (1). pp. 13-20. ISSN 1063-4541

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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.

Item Type:	Article
Keywords:	Application; nonclassical models; shell theory; study; mechanical parameters; multilayer nanotubes;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering
Item ID:	17100
Identification Number:	https://doi.org/10.3103/S1063454111010055
Depositing User:	Dr Andrei Ermakov
Date Deposited:	06 Apr 2023 11:07
Journal or Publication Title:	Vestnik St. Petersburg University: Mathematics
Publisher:	Springer
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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