Formation and evolution of dislocation structures in f.c.c. single crystals

Abstract

A unified description of the formation and evolution of dislocation structures in f.c.c. single crystals in the cases of single and double slip is presented. The contribution of dislocation junctions to the internal stresses is incorporated into the model of Kratochvil and coworkers. A bundle-like structure in the case of single slip and a cell structure in the case of double slip are derived from the model, in accordance with experimental evidence. An explicit dependence of the evolution of dislocation structures on the material parameters and state variables, such as the shear rate and dislocation density, is obtained by a nonlinear analysis.