Internal stresses in dislocation wall structures

Abstract

The reason why long-range internal stresses arise in dislocation wall structures has been explained by the composite model of plastic deformation. In this brief note, the composite model will be reformulated. The bowed glide dislocations in the channels will be considered to be the primary source of the internal stress. It will be shown that the constrained configuration of the glide screw dislocation segments alone is responsible for a substantial part of the internal stresses. Then, an alternative approach will be suggested. The elliptical shape of the screw segments in the channels will be assumed no more. The role played by the edge dislocation segments at the interfaces will be discussed. The shape of the glide dislocations as well as the profile of the corresponding internal stress will be calculated, taking into account the balance of forces acting on the glide dislocations.