The stressed-strained state of a transversally isotropic spherical layer under normal pressure is studied. Such structures can be used as a basic model for the eyeball in order to evaluate the short term effect of the increasing of intraocular pressure after intravitreal injections, which are extensively used nowadays to treat retinal diseases.Solutions are obtained using the exact 3D theory of elasticity and two approximate theories for orthotropic plates: thetheory of moderate-thickness shells developed by Paliy-Spiro (PS) and the refined theory developed by Rodinova-Titaev- Chernykh (RTC). Expansions of the 3D exact solutions in powers of a small parameter, which is equal to the relative thickness of spherical layer, are compared with the solutions obtained with the PS and RTC shell theories. The PS and RTC theories correctly predict the two first terms of the asymptotic expansions of the 3D solution for displacements. These results show that both theories (PS and RTC) can be applied to evaluate the increasing of intraocular pressure after intravitreal injection in eyes with myopia, i.e. eyes of an ellipsoidal shape.
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