Green's function for a thermomechanical mixed boundary value problem of aninfinite plane with an elliptic hole

This article derives the Green's function for a thermomechanical mixed boun dary value problem of an infinite plane with an elliptic hole under a pair of heat source and sink. To derive the Green's function in closed form, the Cauchy integral method and a basic Green's function for an external force boundary value problem with a pair of heat source and sink are employed. Il lustrative numerical results for temperature, heat flux, and stress along t he hole edge and stress intensity factors when the hole collapses into a cr ack are presented graphically.