A method was presented for the prediction of stress-stain curves on the basis of 2-dimensional dislocation dynamics. The simulation considered the plastic deformation of single grains within which one or more slip systems was active. The dislocations were treated as infinite straight line defects which were embedded in an otherwise isotropic linear elastic medium. Because the model was 2-dimensional, only edge dislocations could be treated. The calculation of the local stress field took account of the long-range elastic stress contribution from all of the dislocations within the grain, of the externally imposed stresses, and of the short-range stress field that was created by high-angle grain boundaries. It was found that, due to the net local value of the stress field, the dislocations could glide or climb. Thermal activation was treated, and dislocation multiplication, annihilation and reaction were incorporated. The simulations permitted the evolution of the dislocation distribution, stress field and plastic strain during deformation.

F.Roters, D.Raabe, G.Gottstein: Computational Materials Science, 1996, 7[1-2], 56-62