The elastic stress fields of single, irregularly tangled, dislocations were simulated numerically. The dislocations had fractal dimensions of between 1 and 1.5. The results were compared with the stress fields that were associated with straight dislocations (fractal dimension of unity). In order to calculate the stress fields to a high degree of spatial resolution, the dislocation lines were sub-divided into small segments. The results confirmed that the stress fields of tangled dislocations depended markedly upon their fractal dimension. The maximum shear stress that was generated per unit length of a single dislocation decreased with increasing fractal dimension of its dislocation line.

On the Stress Fields of Crystal Dislocations with Fractal Geometry. D.Raabe: Materials Science and Engineering A, 1995, 203[1-2], 203-7