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

Edited book (chapter)

Bauer, Svetlana M., Ermakov, Andrei M., Kashtanova, Stanislava V. and Morozov, Nikita F.. 2011. "Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells." Altenbach, Holm and Eremeyev, Victor A. (ed.) Shell-like structures. Heidelberg, Germany. Springer. pp. 519-530
Chapter Title

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

Book Chapter CategoryEdited book (chapter)
ERA Publisher ID3337
Book TitleShell-like structures
AuthorsBauer, Svetlana M. (Author), Ermakov, Andrei M. (Author), Kashtanova, Stanislava V. (Author) and Morozov, Nikita F. (Author)
EditorsAltenbach, Holm and Eremeyev, Victor A.
Volume15
Page Range519-530
SeriesAdvanced Structural Materials
Chapter Number34
Number of Pages12
Year2011
PublisherSpringer
Place of PublicationHeidelberg, Germany
ISBN9783642218545
9783642218552
Digital Object Identifier (DOI)https://doi.org/10.1007/978-3-642-21855-2_34
Web Address (URL)http://link.springer.com/chapter/10.1007%2F978-3-642-21855-2_34
Abstract

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.

Keywordstheory of anisotropic shells, shell theory of Paliy-Spiro, shell theory of Rodionova-Titaev-Chernykh
ANZSRC Field of Research 2020490303. Numerical solution of differential and integral equations
490410. Partial differential equations
401707. Solid mechanics
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Byline AffiliationsSaint Petersburg State University, Russia
Journal TitleShell-like Structures Volume 15 of the series Advanced Structured Materials pp 519-530
Institution of OriginUniversity of Southern Queensland
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