In the last few years considerable attentions have been given by many investigators to the couple-stress theory. The couple-stress theory considers that, within an elastic body, the surface of each material element is subjected not only to the normal and tangential forces but also to the moment per unit area. Such an assumption seems appropriate for materials with granular or crystalline structure.
Applying Mindlin's and Nowacki's theories, in this paper, we solved the problem about the effect of couple-stress on the thermal stress distribution in a polygonal prism with a central circular hole under a stationary temperature distribution. The result shows that, by taking couple-stresses into account, the stress-concentration factor is obviously reduced from the value acceped in classical theory.