Abstract
In the present article, we deal with a plane axisymmetric isothermal elastic problem of a cylindrically anisotropic, inhomogeneous hollow circular plate, analytically. We assume that the Young's moduli and the mass density are independently varied in a form of power with radial coordinate γ, and that the Young's moduli also have cylindrically anisotropic properties. We formulate the displacement equation of equilibrium for the hollow circular plate under a plane axisymmetric condition. Thereafter we derive analytical solutions of displacement and stress components for the hollow circular plate which is subject to a centrifugal force caused by the rotation at a constant angular velocity about a central axis. We carry out numerical calculation and discuss the effect of interaction between material anisotropy and material inhomogeneity on the mechanical behavior of the hollow circular plate.
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