Stress--strain state of the sclera and cornea as orthotropic non-uniform conjugated spherical shells

Article

Ermakov, A. M.. 2008. "Stress--strain state of the sclera and cornea as orthotropic non-uniform conjugated spherical shells." Russian Journal of Biomechanics. 13 (1), pp. 47-58.
Article Title

Stress--strain state of the sclera and cornea as orthotropic non-uniform conjugated spherical shells

ERA Journal ID3430
Article CategoryArticle
Authors
AuthorErmakov, A. M.
Journal TitleRussian Journal of Biomechanics
Journal Citation13 (1), pp. 47-58
Article Number43
Number of Pages12
Year2008
Place of PublicationPerm, Russian Federation
ISSN1812-5123
Web Address (URL)http://vestnik.pstu.ru/biomech/archives/?id=&folder_id=2169
Abstract

The stress–strain state of the conjugated orthotropic spherical shells under internal pressure is determined in this paper. A behavior of a corneoscleral shell of an eye with increasing of intraocular pressure can be modelled. The modelling is performed by virtue of the theory of shells taking into account the influence of transversal shear, deforming in the direction of normal to middle surface and transversal normal stresses.
The problem is solved in the displacements. As a result of transformation of the constitutive relations, the system of differential equations of sixteenth order with sixteen boundary conditions is obtained. Adopting a finite–difference method, the overall picture of shell deformations for various ratios of the elastic moduli was obtained.

Keywordssclera, conjugated anisotropic spherical shells, myopia, hypermetropia
ANZSRC Field of Research 2020490303. Numerical solution of differential and integral equations
420701. Biomechanics
401707. Solid mechanics
Public Notes

c. Perm National Research Polytechnic University.

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