The models of nonclassical anisotropic spherical shells

Ermakov, A. (2012) The models of nonclassical anisotropic spherical shells. In: 38th Solid Mechanics Conference, 27–31 Aug 2012, Warsaw, Poland.


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.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Copyright c. 2012 by Institute of Fundamental Technological Research (IPPT) of the Polish Academy of Sciences.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Agricultural, Civil and Environmental Engineering
Date Deposited: 27 Oct 2016 00:21
Last Modified: 30 Jun 2017 04:08
Uncontrolled Keywords: orthotropic spherical shells
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
11 Medical and Health Sciences > 1106 Human Movement and Sports Science > 110601 Biomechanics
09 Engineering > 0913 Mechanical Engineering > 091308 Solid Mechanics

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