Abstract
A steady-state thermal stress problem is solved for a semi-infinite plate with a thermally insulated circular hole when a finite segment of its straight edge is heated with a prescribed temperature. Both the temperature and stress solutions are constructed by summing the temperature and stress fields due to point heat sources and loads distributed inside the hole. The intensity of heat sources and loads are determined from the boundary conditions on the hole using the least squares method. The boundary conditions on the straight edge are satisfied exactly. Extensive and detailed numerical calculations are carried out to clarify the effects of the length of heated segment and the distances of the hole from the straight edge ad the center of the heated segment on thermal stress concentration. The results show the power and flexibility of the method.
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