Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells

Bauer, Svetlana M. and Ermakov, Andrei M. and Kashtanova, Stanislava V. and Morozov, Nikita F. (2011) Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells. In: Shell-like structures. Advanced Structural Materials, 15. Springer-Verlag, Heidelberg, Germany, pp. 519-530. ISBN 978-3-642-21854-5


In [3] 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 of the value of the local load (applied to the tube) to the value of the displacement. Nanotubes with different fillers are analyzed. Experiments show that the stiffness of the tube depends on the materials for filling. The tubes with water are softer and the tubes filled with mercury are more rigid than tubes without filling materials. It was shown in [3] that the classical theory of bending can not explain the experimental results, but the experimental results well agree with the Timoshenko-Reissner theory (at least qualitatively), when the 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 the theory of Rodionova-Titaev-Chernykh (RTC) permits to obtain much more reliable results. In this work the authors also applied another nonclassical shell theory, namely the shell theory of Paliy-Spiro (PS) developed for shells with moderate thickness. The comparison of nonclassical shell theories (RTCh and PS) with experimental data and FEM calculations are presented.

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Item Type: Book Chapter (Commonwealth Reporting Category B)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to Published version, in accordance with the copyright policy of the publisher.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Agricultural, Civil and Environmental Engineering
Date Deposited: 26 Oct 2016 06:25
Last Modified: 18 Apr 2017 03:53
Uncontrolled Keywords: theory of anisotropic shells, shell theory of Paliy-Spiro, shell theory of Rodionova-Titaev-Chernykh
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
01 Mathematical Sciences > 0101 Pure Mathematics > 010110 Partial Differential Equations
09 Engineering > 0913 Mechanical Engineering > 091308 Solid Mechanics
Identification Number or DOI: 10.1007/978-3-642-21855-2_34
URI: http://eprints.usq.edu.au/id/eprint/29893

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