Investigating the formation of a geometrically necessary boundary using discrete dislocation dynamics

A systematic numerical study using discrete dislocation dynamics has been conducted to investigate the formation of geometrically necessary dislocation boundaries (GNBs), a fundamental component of dislocation patterning and work-hardening. The simulations presented in this paper focus on GNBs forming along the (010) plane, which are observed in the 121111 copper orientation on the β-fibre of the FCC rolling texture. The results demonstrate that GNBs can emerge as a relaxation product, self-organising to satisfy low-energy theorems such as the Frank equation. Additionally, the requirements for the involved slip systems and their relative densities to form stable mobile and immobile boundaries are evaluated.