Dislocation patterning: from micro- to mesoscale description

Phys Rev Lett. 2000 Feb 14;84(7):1487-90. doi: 10.1103/PhysRevLett.84.1487.

Abstract

During the plastic deformation of crystalline material the dislocations, being the carriers of the plastic flow, tend to form different patterns. Because of the long range nature of dislocation-dislocation interaction, the origin of this self-ordering phenomenon is still an open question. The paper presents a stochastic two-dimensional model derived directly from the properties of individual dislocations making it possible to investigate the problem on a mesoscale. Numerical results obtained in double slip configuration indicate the development of cell structure with fractal character.