University of Tehran Press Journal of Computational Applied Mechanics 2423-6713 57 1 2026 01 01 Elastic analysis of FGM solid sphere with parabolic varying properties 1 10 103749 10.22059/jcamech.2024.378912.1145 EN Mohammad Zamani Nejad Department of Mechanical Engineering, Yasouj University, Yasouj, Iran Majid Abedi Engineering Department, Arian Methanol Company, Asaluyeh, Iran College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China Nadia Alavi Department of Mechanical Engineering, Yasouj University, Yasouj, Iran Journal Article 2024 07 03 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. https://jcamech.ut.ac.ir/article_103749_b441821506492382e296bdd93b6ddf4b.pdf