Nonlinear Behavior of a Non-Homogeneous Plate in Cylindrical Bending under Uniform Loading

In this work, we will study the non-linear behavior of a plate in cylindrical bending using an exponential function with gradient of material properties (Commonly called E-FG). The plates are subjected to uniform loading and geometric nonlinearity is introduced into relationship the stress-strain using the expressions nonlinear deformations of Von Karman's. The material properties of the plate, except the Poisson coefficient, are assumed to vary in the direction of thickness z in the form of an exponential law distribution. The solution is obtained by using the Prince of Hamilton. Numerical results by an exponential function with gradient of properties are given in the form of graphs non-dimensional; and determine the effect of the material properties on the deflection and the normal stress across the thickness.