Abstract
An analytical solution is presented for a plane thermal stress problem in a nonhomogeneous hollow circular plate subjected to unaxisymmetric heating as an example of nonhomogeneous multiply connected regions. The nonhomogeneous plate has Young's modulus and thermal conductivity expressed in forms of different power laws of radial coordinate, the coefficient of linear thermal expansion given as an arbitrary function of radial coordinate, and constant Poisson's ratio. The governing equation of the thermoelastic problem formulated in terms of a stress function becomes Euler's differential equation. The single-valuedness of rotation in the symmetric thermal stress problem with respect to the x and y axes is assured based on the new Michell's conditions derived for arbitrary nonhomogeneous material properties in the previous report by the present author. Numerical calculations are carried out for the temperature and thermal stress distributions in the nonhomogeneous hollow circular plate subjected to unaxisymmetric heating on the inner boundary.
