抄録
A plane thermoelastic problem in a nonhomogeneous doubly-connected region under a transient temperature field has been formulated by the stress function method. In the formulation, new Michell's conditions have been derived to assure a single-valuedness of the rotating and displacements in the nonhomogeneous doubly-connected region. The system of fundamental equations formulated has been solved numerically by the use of the finite difference method. To make clear quantitatively the effects of thermal and mechanical nonhomogeneous properties on temperature and thermal stress distributions, numerical calculations are carried out for the thermal conductivity, Young's modulus and coefficient of linear thermal expansion which vary exponentially with the position in the doubly-connected region.
