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

摘要

This article derives the Green's function for a thermomechanical mixed boundary 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. Illustrative numerical results for temperature, heat flux, and stress along the hole edge an stress intensity factors when the hole collapses into a crack are presented graphically.