In this study, the thermal singular stresses in an elastic helf-plane containing a crack perpendicular to the boundeary is considered. The half-plane is subjected to a uniform heat flux and a uniform mechanical load, and the temperatures on the crack surfaces and free surface of the half-plane are maintained at uniform temperatures, respectively. The Fourier transform techniques are used to formulate the problem in terms of singular integral equations. The sigular integral equations are solved

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... y using the Gauss-Jacobi integration formula. Both the cases of an internal crack and an edge crack are studied. Numerical calculations are carried out, and the effects of the geometric parameters on the temperature-thermal stress distributions and the thermal stress intensity factors are shown graphically.