Stress-strained state and the stability of a spherical segment under the influence of a load with a flat base

Ermakov, A. M. (2013) Stress-strained state and the stability of a spherical segment under the influence of a load with a flat base. In: 26th Nordic Seminar on Computational Mechanics, 23–25 Oct 2013, Oslo, Norway.

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Abstract

In this paper the problem of the buckling of the transversal-isotropic segment of spherical shell with the different thicknesses under the influence of 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 method, due to the use of linear physical relations, it is possible to trace the non-linear problem at each separate stage to the solution of a linear system. The comparison of the results which were obtained with the use of the method of linearization of non-linear equilibrium equations and the method of minimization of elastic potential of the shell has been done. 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 analysing the data related to measuring a very important in ophthalmology characteristic of intraocular pressure.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: c. 2013 The authors.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 14 Nov 2016 07:42
Last Modified: 04 Jul 2017 23:56
Uncontrolled Keywords: nonlinear shell theory, stability, load with a flat base
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
URI: http://eprints.usq.edu.au/id/eprint/29988

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