Stress-strained state and the stability of a spherical segment under the influence of a load with a flat base
Paper
Paper/Presentation Title | Stress-strained state and the stability of a spherical segment under the influence of a load with a flat base |
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Presentation Type | Paper |
Authors | |
Author | Ermakov, A. M. |
Editors | Logg, Anders, Mardal, Kent-Andre and Massing, Andre |
Journal or Proceedings Title | Proceedings of the 26th Nordic Seminar on Computational Mechanics |
Number of Pages | 4 |
Year | 2013 |
Place of Publication | Oslo, Norway |
ISBN | 9788292593127 |
Web Address (URL) of Paper | http://cbc.simula.no/pub/data/nscm26-proceedings.pdf |
Conference/Event | 26th 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. |
Keywords | nonlinear shell theory, stability, load with a flat base |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
420701. Biomechanics | |
401707. Solid mechanics | |
Public Notes | c. 2013 The authors. |
Byline Affiliations | Saint Petersburg State University, Russia |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q3q93/stress-strained-state-and-the-stability-of-a-spherical-segment-under-the-influence-of-a-load-with-a-flat-base
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