Interaction between elliptic hole and crack in thin plate under uniform bending heat flux

The interaction problem between an elliptic hole and a crack in a thin plate under uniform bending heat flux is considered. For solving the interaction problem, a solution for an infinite thin plate with an adiabatic elliptic hole under uniform bending heat flux, and two Green's functions of the plate under a bending heat source couple and a bending dislocation are given. The interaction problem then reduces into singular integral equations using the Green's functions and the principle of superposition. After the equations are solved numerically, the moment intensity factors at crack tips are evaluated.