The properties of a system of parallel edge dislocations were investigated by using numerical and analytical methods. The 2-dimensional assembly was a considerable simplification, when compared to the dislocation systems which developed in real crystals, but computer simulation showed that it could nevertheless reproduce several important features of the plastic behavior of single crystals. A self-consistent field description was also derived from the equation of motion of individual dislocations. This provided a link between the discrete and continuum descriptions of dislocation behavior, without making any ad hoc assumptions. The precise form of the elastic interaction of dislocations was taken into account by the model. The stability of an homogeneous dislocation distribution was investigated by these means.

Link between the Individual and Continuum Approaches to the Description of the Collective Behavior of Dislocations. I.Groma, P.Balogh: Materials Science and Engineering A, 1997, 234-236, 249-52