A model was proposed for the interaction of dislocations in a honeycomb-type configuration. The formation of complex structures was expected when the 2 populations involved interacted. The system of conservation laws degenerated into an elliptical system, and was therefore unstable in the region were such structures were expected to appear.

On the Modelling of Instabilities in Dislocation Interactions. A.Carpio, S.J.Chapman: Philosophical Magazine B, 1998, 78[2], 155-7