An effective general solution to the inhomogeneous spatial axisymmetric problem and its applications in functionally graded materials

The axisymmetric problem is a typical problem in the theory of elasticity, and the inhomogeneous spatial problem has an especially wider range of applications. In this paper, we first present an effective analytical elastic general solution to the inhomogeneous spatial axisymmetric problem. The specific descriptions of inhomogeneity are: Young’s modulus is an arbitrary function of both radius and thickness coordinates, and Poisson’s ratio is a...