Elastic interaction between screw dislocations and an internal crack in a medium of finite thickness

Abstract

Abstract Using the conformai mapping technique, the elastic interaction between a screw dislocation and an internal crack in a thin plate material is investigated. The stress field, the stress intensity factor at the crack tip, and the force on the dislocation are derived. The stress intensity factor at the crack tip is dependent on the positions of the lattice screw dislocations, the dislocations inside the crack, the applied stress and the geometry of the medium. From the image force, the zero‐force points between the crack tip and free surface are obtained. The number of zero‐force points varies from one to five depending on the applied stress and dislocations inside the internal crack. Finally, our results can be reduced to several special cases.