Abstract: An infinite plate with a central crack is subjected to remotely and uniformly applied heat flow. There is an angle between the heat flow and the crack. When a constant heat flow normal to the crack passes the crack surfaces, the analytical solutions of temperature, thermal stress and displacement fields are obtained using the complex function theory. The thermal stress intensity factor is determined from the unique condition of displacement field. Numerical simulation is performed for the aluminum alloy LY12 material. The effects of heat conduction property of crack and the direction of the heat flow on the temperature field and the thermal stress intensity factor are discussed. The result shows that only modeⅡthermal stress intensity factor is induced while the mode I thermal intensity factor vanishes under the given thermal boundary condition. Thermal loading can be equivalent to a uniformly and remotely applied shear stress. ModeⅡthermal stress field only depends on the component of remote heat flow normal to the crack surface, while the component of heat flow parallel to the crack line has little influence on the thermal stress field.