This study presents a large-deflection mathematical analysis of a laminated glass plate that has suffered initial delamination. Three distinct interlayer types are taken into consideration in order to examine how the type of interlayer affects the behavior of delaminated glass plates. The plate is subjected to uniform pressure. The analysis is based on solving five nonlinear partial differential equations relating the lateral deflections and stresses to the applied load. The established solution approach is presented in a simple form suitable for analyzing various loads, geometries, material properties and boundary conditions. Two boundary conditions—fixed and simply supported edges—are taken into consideration for plates. It is established that interlayer type has a major effect in determining the delamination strength of laminated glass. Design engineers can use the current research findings to build laminated glass for structural applications.