The mode-III fracture analysis of an inclined crack embedded in thin layer systems by analytical alternating methods

This paper analyzes the mode-III stress intensity factor of an inclined crack, embedded in a thin layer, bonded to a half plane, subjected to arbitrary distributed anti-plane loads. Special alternating procedures are presented to evaluate the mode-III S.I.F. and the numerical results confirm the validity of the proposed alternating procedure. The solution of a bi-material problem in an infinite plane with an inclined crack and the analytical solution of a thin layer, without crack, bonded to a half plane, subjected to an anti-plane point force applied on the boundary are referred to as fundamental solutions. By using these fundamental solutions and alternating procedures, the stress intensity factors of a crack in a thin layer bonded to a half plane are evaluated. The numerical results of some reduced problems are computed and excellent agreements with existing solutions are obtained.