Interaction between an edge dislocation with inclined glide plane and a semi-circular cut on the straight boundary

Abstract

The interaction between a semi-circular cut on the straight boundary and an edge dislocation, placed on the glide plane inclined to the straight boundary, in a semi-infinite medium is investigated on the basis of the Airy stress function. The solution is constructed by considering the relation between the real edge dislocation and the imaginary one. Numerical calculations are worked out in some detail and these results are presented graphically, in order to clarify the effect of the above mentioned interaction. Clearly, when the dislocation is very near the cut, the force F F A of interaction for the case of α ≠ β is smaller than the case of α = β. It is interesting to note that the edge dislocation has stable and unstable equilibrium positions at some intermediate distance from the cut for the larger values of ( α − β).