Abstract
In the present article, we deal with a one-dimensional spherically symmetric isothermal elastic problem of an inhomogeneous hollow sphere analytically. We assume that a hollow sphere has inhomogeneous material properties, in which the Young's modulus of elasticity is changed by the power product form with the radial coordinate variable γ. We formulate the Navier's equation for the inhomogeneous hollow sphere, thereafter we derive analytical solutions of displacement and stress components for the hollow sphere which is subject to uniform pressure from boundary surfaces. We carry out numerical calculations and discuss the effect of the inhomogeneity property of the Young's modulus of elasticity upon the isothermal elastic behaviors of the hollow sphere.
