Thermal stress problem for mixed heat conduction boundary around an arbitrarily shaped hole with crack under uniform heat flux

This article deals with a thermal stress problem for thermal conduction aro und an arbitrarily shaped hole with a crack under uniform heat flux. Two ca ses for the hole edge and the crack faces are assumed: adiabatic and isothe rmal conditions or vice versa (isothermal and adiabatic). A closed-form sol ution is obtained using conformal mapping, dislocation functions, and the c omplex variable method. Results of temperature, heat flux, stress, and stre ss intensity factor are illustrated.