On the shell model for human eye in Glaucoma disease

Abstract

A new mechanical and analytical models of the human eye is presented in order to study Glaucoma disease and its complications. Mechanical modeling of the human eye is performed with a hollow sphere under internal pressure. The first-order shear deformation theory is used to obtain the governing equations of the model, which are the set of partial differential equations. The nonlinear von Kármán assumption is considered for strain field to obtain the more precise results. The viscoelastic effects on the material structure of the eye are also considered to be more consistent with the results. The obtained governing equations and boundary conditions are solved using Semi-Analytical Polynomial Method. The results are studied for Glaucoma and the effects of this disease on the patient's vision as well as the temporary and permanent deformities caused in the patient's eyeball are further investigated. The modeling and information obtained from this study can help clinicians to provide more appropriate therapeutic strategies. Stress concentration can be identified in the eyeball tissue of patients suffering from Glaucoma using the simulations presented in this study. Given the generality of the proposed model, not only Glaucoma disease but also a wide range of eye diseases can be studied.