Axially symmetric thermal stresses in the vicinity of a finite cylindrical crack in an elastic pipe are calculated. The surfaces of the crack are assumed to be insulated. The outer surface of the pipe is heated so as to maintain a constant temperature $Td,$ and the inner surface of the pipe is cooled so as to maintain a constant temperature $Tb.$ Expressions developed by Sharma are used to solve the problem. Stress intensity factors are defined and calculated numerically for several configurations of the pipe.

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