Thermal behavior of functionally graded solid sphere with nonuniform heat generation

This article deals with the thermoelastic analysis of the functionally graded solid sphere due to nonuniform heat source inside the body under the constant surface temperature. The sphere material is considered to be graded along the radial direction where an exponentially varying distribution is assumed. Also, the material assumed with constant Poisson's ratio. The implicit finite difference scheme is used to determine the transient temperature, radial displacement, and stress field within the sphere. The results are illustrated numerically and graphically for functionally graded solid sphere consists of metal and ceramic.