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Virginia Polytechnic Institute and State University

A theoretical model of the cornea as a thin shell of variable thickness in relation to radial keratotomy

Abstract

dc:description.abstract

A theoretical study of the deformation fields of the cornea under internal pressure is presented. The general elasticity equations describing a thin shell of variable thickness are solved using finite difference techniques. To gain insight into the natural corneal structure, the constant thickness case is compared to one of normal thickness. The bending stresses are found to influence the cornea's natural curvature. In the third case, the normal thickness is increased 10% to model the edematous state resulting from the incisions made during radial keratotomy. A comparison of the third case reveals the increased thickness in the peripheral cornea makes a minor contribution to the displacement; but moreover, the curvature change is opposite to that desired from radial keratotomy. The incisions are necessary to weaken the lateral support of the shell allowing the displacement and change in curvature which corrects myopia.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Engineering Mechanics
Department dc:contributor.department
Engineering Mechanics
Grantor dc:publisher
Virginia Polytechnic Institute and State University
Year dc:date.issued
1984

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Williams, Sharon Lee

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en_US

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/10919/87288
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/87288

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Williams, Sharon Lee. A theoretical model of the cornea as a thin shell of variable thickness in relation to radial keratotomy. masters thesis, Virginia Polytechnic Institute and State University, 1984. http://hdl.handle.net/10919/87288