摘要:AbstractIn this study, an analytical method is developed to obtain mechanical and thermal stress and mechanical displacement in two dimensional steady (r,θ) state a functionally graded porous material hollow sphere (FGpm). It is assumed that properties of poro, and FGM material is changed through thickness according to power law functions. heat conduction equation is obtained for obtaining temperature distribution and navier equations analytically using legendre polynomials and Euler differential equations system for investigating displacements changes and stress and potential functions for different indices power indices.