Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Baryshev A. A. The equilibrium equations of shells in the coordinates of the general form. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 2, pp. 44-53. DOI: 10.18500/1816-9791-2013-13-2-1-44-53, EDN: SJJAXP

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
27.02.2013
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Language: 
Russian
Heading: 
Mechanics
UDC: 
539.3
DOI: 
10.18500/1816-9791-2013-13-2-1-44-53
EDN: 
SJJAXP

The equilibrium equations of shells in the coordinates of the general form

Autors: 
Baryshev Andrei Alekseevich, Saratov State University
Abstract: 

A mathematical model of homogeneous elastic shells is consider under kinematics Reissner–Mindlin type. Through direct (coordinateless) methods of the tensor calculus equations of equilibrium are obtained in terms of displacements in an arbitrary (not necessarily orthogonal) coordinate system, taking into account the asymmetry of the location of the front surface. For a spherical shells proposed procedure for constructing solutions, based on the method of spectral decomposition, which describes the stress-strain state at the potential power and torque static loads. 

Key words: 
sphere shell
equilibrium equations
analytical solutions
spectral decomposition
eigenfunctions
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Received: 
21.08.2012
Accepted: 
19.01.2013
Published: 
27.02.2013
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