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

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 (43)). pp. 47-58. ISSN 1812-5123


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.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: c. Perm National Research Polytechnic University.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Agricultural, Civil and Environmental Engineering
Date Deposited: 10 Nov 2016 23:56
Last Modified: 11 Nov 2016 02:08
Uncontrolled Keywords: sclera, conjugated anisotropic spherical shells, myopia, hypermetropia
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

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