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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2017, Volume 17, Issue 2, Pages 209–218
DOI: https://doi.org/10.18500/1816-9791-2017-17-2-209-218
(Mi isu717)
 

This article is cited in 1 scientific paper (total in 1 paper)

Scientific Part
Mechanics

Thickness influence of the multylayer corneal shell on the value of intraocular pressure

D. V. Franus

Saint Petersburg State University, 7–9, Unevrsitetskaya nab., Saint Petersburg, Russia, 199034
References:
Abstract: A research of changes in the stress-strain state of the corneoscleral shell of the human eye under loading by a flat base stamp is made. In this paper a three-dimentional finite-element model of contact problem under loading of multilayer corneal shell with flat base stamp is presented. This mathematical model is made in software package ANSYS. Cornea is modeled as a transversely isotropic spherical shell of variable thickness composed of four layers: epithelium, Bowman's membrane, stroma of the cornea, and Descement's membrane. Moreover, all layers have individual elastic properties, which are significantly different in tangential direction and in thickness direction. Detailed description of the contact interaction of the corneal shell and flat stamp is presented. Since the thickness of the corneal shell changes in the center, the attached flat stamp deforms the corneal shell in different ways. The paper describes the numerical calculation of the diameter of the contact zone between the shell and the stamp, on the basis of which it is judged in clinical practice about the value of intraocular pressure. Values of correction coefficients of intraocular pressure are obtained depending on the thickness of the corneal shell in its center.
Key words: intraocular pressure, corneal shell, corneal thickness.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06311_a
This work was supported by the Russian Foundation for Basic Research (project no. 15-01-06311-a).
Bibliographic databases:
Document Type: Article
UDC: 539.3/51-76
Language: Russian
Citation: D. V. Franus, “Thickness influence of the multylayer corneal shell on the value of intraocular pressure”, Izv. Saratov Univ. Math. Mech. Inform., 17:2 (2017), 209–218
Citation in format AMSBIB
\Bibitem{Fra17}
\by D.~V.~Franus
\paper Thickness influence of the multylayer corneal shell on the value of intraocular pressure
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2017
\vol 17
\issue 2
\pages 209--218
\mathnet{http://mi.mathnet.ru/isu717}
\crossref{https://doi.org/10.18500/1816-9791-2017-17-2-209-218}
\elib{https://elibrary.ru/item.asp?id=29924700}
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  • https://www.mathnet.ru/eng/isu717
  • https://www.mathnet.ru/eng/isu/v17/i2/p209
  • This publication is cited in the following 1 articles:
    1. E. I. Starovoitov, D. V. Leonenko, “Izgib trekhsloinoi balki lokalnymi nagruzkami v temperaturnom pole”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 18:1 (2018), 69–83  mathnet  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Abstract page:173
    Full-text PDF :79
    References:47
     
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