Nonclassical models in the shell theory with applications to multilayered nanotubes

Bauer, Svetlana M. and Ermakov, Andrei M. and Kashtanova, Stanislava V. and Morozov, Nikita F. (2011) Nonclassical models in the shell theory with applications to multilayered nanotubes. In: 3rd ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2011), 25-28 May 2011, Corfu, Greece.


In [1] the stiffness of bridges and cantilevers made of natural chrysotile asbestos nanotubes has been studied by means of scanning probe microscopy. The stiffness is defined as a ratio the value of local load (applied to the tube) to the value of the displacement. The nanotubes with different materials for fillings are analyzed. The experiments show that the stiffness
of the tube depends on the materials for filling. The tubes with water are softer than the tubes without filling materials and the tubes filled with mercury are more rigid than tubes without filling materials. It was shown in [1] that the classical theory of beam bending can not explain
the experimental results, but the experimental results well agree with the Timoshenko-Reissner theory (at least qualitatively), when interlaminar shear modulus of elasticity changes for different filling materials. When additional factors such as lamination of structure and cylindrical anisotropy are taken into account [2] the theory of Rodionova-Titaev-Chernykh (RTC) permits
to obtain much more reliable results. In this work the authors also applied one more nonclassical
shell theory, namely the shell theory of Paliy-Spiro (PS) developed for medium - thickness shells and considered radial pressure. The comparison of nonclassical shell theories (RTC and PS) with experimental data and FEM calculations are presented in the report.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to Published version, in accordance with the copyright policy of the publisher.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Agricultural, Civil and Environmental Engineering
Date Deposited: 26 Oct 2016 06:10
Last Modified: 01 Aug 2017 23:43
Uncontrolled Keywords: theory of anisotropic shells, shell theory of Paliy-Spiro, shell theory of RodionovaTitaev-Chernykh
Fields of Research : 01 Mathematical Sciences > 0101 Pure Mathematics > 010110 Partial Differential Equations
09 Engineering > 0912 Materials Engineering > 091202 Composite and Hybrid Materials
09 Engineering > 0913 Mechanical Engineering > 091308 Solid Mechanics
Identification Number or DOI: 10.1007/978-94-007-6573-3

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