The buckling of the transversal-isotropic spherical segment under influence of the load with a flat base

Abstract

In this paper the problem of the stress-strain state and the buckling of the transversal-isotropic segment of spherical shell with the different thicknesses under the influence of the internal preassure and the load with a flat base is studied. The spherical segment has a rigid support on the edge and previously has been loaded by internal pressure. The solution of this problem is based on the theory of the shell of moderate thickness by Paly-Spiro. This theory takes into account the influence of the cross section shear and change of the shell thickness. For modelling such large deformations the method of consequent loading is used. In this work the method of consequent loading is presented in two ways. The first of them is the method of linearization of non-linear equilibrium equations and the second - the method of minimization of elastic potential of the shell. These ways of the problem solution give us the different approaches to the estimation of the critical load. The problems of stress-strain state of soft and close to soft shells that are under the influence of a load with a flat base are important for analyzing the data related to measuring a very important in ophthalmology characteristic of intraocular pressure. Refs 9. Figs 7. Tables 1.

Keywords:

nonlinear shell theory, stability, load with a flat base