GLIDE DISLOCATION SHAPES AND LONG-RANGE INTERNAL-STRESSES IN DISLOCATION WALL STRUCTURES

A model in the form of a set of ordinary differential equations is pro posed to calculate the shape of glide dislocations and the long-range internal stress profile in an idealised periodic dislocation wall stru cture. The longitudinal walls constrain the long-range glide of the di slocations in the channels and cause a bowing stress. Dislocations sto red in the walls in the form of elongated dipolar loops are treated as a microstructural source of a local flow stress. The applied stress, the local flow stresses, the geometry of the dislocation structure, an d material constants form input data for the model. The shape of the g lide dislocations as well as the stress profile result from the analyt ic solution of equations for deformation fields and a balance of force s acting on the individual glide dislocations.