Greens Function of Thermoelastic Mixed Boundary Value Problem for an Elliptic Hole

The static thermoelastic mixed boundary value problem is studied, the one modeling a heat source and a heat sink acting in an infinite plane that contains a partially debonded rigid elliptic inclusion. By employing the conformal mapping technique and the traction-free Greenʹs function for the exterior of the ellipse, the Greenʹs function is obtained for the mixed boundary value problem with a finite number of debondings occurring on the interface between the rigid inclusion and the elastic matrix. Adiabatic and isothermal boundary conditions are considered. The stress distribution is computed on the interface and on the xaxis. The stress-intensity factors are obtained for the case when the ellipse reduces to a crack.