Elastic analysis of FGM solid sphere with parabolic varying properties

Using plane elasticity theory (PET), elastic analysis for solid sphere made of functionally graded materials (FGMs) and subjected to constant pressure is investigated in this paper. The mechanical properties except Poisson’s ratio are assumed to obey the parabolic variations in the radial direction. The emphasis of this article is to find an accurate solution for the analysis of the spherical dome structure in the case where the properties change based on a parabolic function. In this article, the constant inhomogeneity effect on elastic deformations as well as related stresses is investigated The displacement and stresses distributions are compared with the solutions of the finite element method (FEM) and good agreement are found.