Abstract
In the present article, we deal with spherically symmetric isothermal and thermo elastic problems of a transversely isotropic, inhomogeneous hollow sphere, analytically. We assume that material properties such as the thermal conductivities, the Young's moduli and the coefficients of linear thermal expansion are independently varied in a form of power with radial coordinate γ, and that they also have same properties in θ-φ plane whereas those in the radial direction differ from those in θ-φ plane. We formulate the equation of heat conduction in a steady state and the displacement equation of equilibrium for the hollow sphere under spherically symmetric condition. Thereafter we derive analytical solutions of displacement and stress components for the hollow sphere which is subject to uniform pressures or uniform heat supply at inner and outer boundary surfaces. We carry out numerical calculation and discuss the effect of interaction between material anisotropy and material inhomogeneity on the mechanical behavior of the hollow sphere.
