Abstract

The work is concerned with asymmetric buckling of clamped nonuniform orthotropic shallow spherical shells under internal pressure. The effect of degree of orthotropy and material inhomogeneity, the curvature of a shell and the radius of the circular hole in the center of a shell on the buckling load is examined. A mesh-like structure in a human eye called Lamina Cribrosa (LC) may be modeled with such shell. The LC is a part of sclera, where the optic nerve fibres pass through and where the layer of sclera becomes thinner and many little pores appear. The buckling of the LC in the non-axisymmetric state in the neighborhood of the edge could cause edamas and folds at the periphery of the LC, atrophy of the optic nerve fibres and the eventual loss of the sight. The non-symmetric part of the solution is sought in terms of multiples of harmonics in angular coordinate. The numerical method is employed to evaluate the lowest value of the load, which leads to the appearance of waves in the circumferential direction. It is shown that if the modulus of elasticity decreases away from the center of the shell, the critical internal pressure for nonsymmetric buckling is significantly lower than for a shell with constant mechanical properties and the number of waves in the circumferential direction increases with the degree of non-uniformity.

Original languageEnglish
Title of host publicationCOMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings
EditorsManolis Papadrakakis, Michalis Fragiadakis
PublisherNational Technical University of Athens (NTUA)
Pages3556-3562
Number of pages7
ISBN (Electronic)9786188284470
Publication statusPublished - 1 Jan 2019
Event7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019 - Crete, Greece, Hersonissos
Duration: 24 Jun 201926 Jun 2019
Conference number: 7th
https://2019.compdyn.org

Publication series

NameCOMPDYN Proceedings
Volume2
ISSN (Print)2623-3347

Conference

Conference7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019
Abbreviated title COMPDYN 2019
CountryGreece
CityHersonissos
Period24/06/1926/06/19
Internet address

Scopus subject areas

  • Computers in Earth Sciences
  • Geotechnical Engineering and Engineering Geology
  • Computational Mathematics
  • Civil and Structural Engineering

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