Analytical Solution of a Functionally Graded Plate in Cylindrical Bending

Abstract

The elastic problem of a functionally graded plate in cylindrical bending is studied in this paper. The plate is assumed to be simply supported at lateral edges and subjected to normal and shear tractions on top and bottom surfaces. A general solution procedure is developed using Fourier series expansion and variables separation method. Analytical solutions are obtained for some specific variations of material modulus. The influence of different functionally graded models and plate configurations on the stress and displacement fields is investigated through numerical examples.