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

Paper

Ermakov, A. M.. 2013. "Stress-strained state and the stability of a spherical segment under the influence of a load with a flat base." Logg, Anders, Mardal, Kent-Andre and Massing, Andre (ed.) 26th Nordic Seminar on Computational Mechanics. Oslo, Norway 23 - 25 Oct 2013 Oslo, Norway.
Paper/Presentation Title

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

Presentation TypePaper
Authors
AuthorErmakov, A. M.
EditorsLogg, Anders, Mardal, Kent-Andre and Massing, Andre
Journal or Proceedings TitleProceedings of the 26th Nordic Seminar on Computational Mechanics
Number of Pages4
Year2013
Place of PublicationOslo, Norway
ISBN9788292593127
Web Address (URL) of Paperhttp://cbc.simula.no/pub/data/nscm26-proceedings.pdf
Conference/Event26th Nordic Seminar on Computational Mechanics
Event Details
26th Nordic Seminar on Computational Mechanics
Event Date
23 to end of 25 Oct 2013
Event Location
Oslo, Norway
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.

Keywordsnonlinear shell theory, stability, load with a flat base
ANZSRC Field of Research 2020490303. Numerical solution of differential and integral equations
420701. Biomechanics
401707. Solid mechanics
Public Notes

c. 2013 The authors.

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