A model, in the form of a set of ordinary differential equations, was proposed for the calculation of the shape of glide dislocations and the long-range internal stress profile in an idealized periodic dislocation wall structure. The longitudinal walls constrained the long-range glide of dislocations in the channels, and produced a bowing stress. Dislocations which were stored in the walls, in the form of elongated dipolar loops, were treated as a microstructural source of local flow stress. The applied stress, the local flow stresses, the geometry of the dislocation structure, and the material constants served as input data for the model. The shape of the glide dislocations, as well as the stress profile, were deduced from an analytical solution of the equations for the deformation fields and from the balance of forces which acted on individual glide dislocations.

R.Sedlacek: Physica Status Solidi A, 1995, 149[1], 85-93