The models of nonclassical anisotropic spherical shells

Paper

Ermakov, A.. 2012. "The models of nonclassical anisotropic spherical shells." Pecherski, Ryszard, Rojek, Jerzy and Kowalczyk, Piotr (ed.) 38th Solid Mechanics Conference. Warsaw, Poland 27 - 31 Aug 2012 Warsaw, Poland.
Paper/Presentation Title

The models of nonclassical anisotropic spherical shells

Presentation TypePaper
Authors
AuthorErmakov, A.
EditorsPecherski, Ryszard, Rojek, Jerzy and Kowalczyk, Piotr
Journal or Proceedings TitleBook of Abstracts of the 38th Solid Mechanics Conference
Number of Pages2
Year2012
Place of PublicationWarsaw, Poland
Web Address (URL) of Paperhttp://solmech2012.ippt.gov.pl/Solmech2012-Book%20of%20Abstracts.pdf
Conference/Event38th Solid Mechanics Conference
Event Details
38th Solid Mechanics Conference
Event Date
27 to end of 31 Aug 2012
Event Location
Warsaw, Poland
Abstract

The problem of stress-strain state of conjugated orthotropic spherical shells under internal pressure
by means of new nonclassical shell theories and three–dimensional theory [1] is studied. The comparison of solutions obtained with the use of improved nonclassical shell theories of Rodionova-Titaev-Chernykh (RTCH) [2] and Paliy-Spiro (PS) [3] is done.

The improved iterative RTCH theory is based on the following hypotheses:

1. transverse tangential and normal stresses are distributed on shell’s thickness according to
quadratic and cubic laws respectively;
2. tangential and normal components of the displacement vector are distributed on the shell thickness according to quadratic and cubic laws respectively. This theory allows taking into account turns of fibers, their deviation and change of their length.

The Paliy-Spiro shells theory is a theory of shells of moderate thickness which assumes the following hypotheses:

1. straight fibers of the shell which are perpendicular to its middle surface before deformation remain also straight after deformation;
2. cosine of the slope angle of these fibers to the middle surface of the deformed shell is equal to the averaged angle of transverse shear.

The influence of relative thickness for the PS, RTCH shells theory and 3D theory were compared. Also the influence of modulus of elasticity ratio on the deformation form is investigated.

Keywordsorthotropic spherical shells
ANZSRC Field of Research 2020490303. Numerical solution of differential and integral equations
420701. Biomechanics
401707. Solid mechanics
Public Notes

Copyright c. 2012 by Institute of Fundamental Technological Research (IPPT) of the Polish Academy of Sciences.

Byline AffiliationsSaint Petersburg State University, Russia
Institution of OriginUniversity of Southern Queensland
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