A THEORETICAL MODEL OF THE CORNEA FOR USE IN STUDIES OF TONOMETRY,

Abstract

A theoretical model of the cornea, based on corneal dimensions and observed properties, is presented. It is shown that because of large differences in the thicknesses of the Bowman's and Descemet's membranes and the stroma; and because of the reported large differences in the elastic properties of the layers, a sandwich-shell model is a good approximation for the study of corneal deformation. The theory is applicable for applanation tonometry. A set of equilibrium equations based on Reissner's theory is given. Shell parameters which determine the behavior of shells are expressed in terms of the corneal properties and dimensions. Numerical examples which show the effects of corneal parameters on the stress resultants due to intraocular pressure are also given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1967
Accession Number
AD0651107

Entities

People

  • C. C. Mow

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Biological Sciences
  • Biophysics
  • California
  • Elastic Properties
  • Equations
  • Mathematics
  • Membranes
  • Physical Properties
  • Thickness
  • Workshops

Readers

  • Calculus or Mathematical Analysis
  • Neurotrauma and Rehabilitation Medicine.
  • Structural Dynamics.