Abstract
ABSTRACT The two-dimensional thermal stress problem is one of the important problems in the field of solid mechanics. In this paper, the complex variable method for solving this kind of problem is stated. The basic equations of complex variable functions in conjunction with a rational mapping function are considered. The formulation of the rational mapping function and its accuracy are indicated. The general solutions for the external force, displacement, and mixed boundary value problems under uniform heat flux and under a point heat source are stated. The Green's functions for a point heat source and sink are suggested for the three kinds of boundary value problems. The equation to obtain the stress intensity factor for the crack problems and the stress intensity of debonding for a partially debonded rigid inclusion are shown. The interaction problem between a hole and a line crack under uniform heat flux is analyzed.
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