Models and rules were developed for the short-range interactions, cross-slip and long-range interactions of dislocation segments in a 3-dimensional dislocation dynamics model. Dislocation curves of arbitrary shape were discretized into sets of straight segments of mixed dislocations. Long-range interactions were evaluated explicitly on the basis of results from the theory of dislocations. Models for short-range interactions (annihilation, jog formation, junction formation, dipole formation) were developed on the basis of a critical-force criterion that encapsulated the effect of local fields from surrounding dislocations. A model for the cross-slip mechanism was also developed, and was combined with a Monte Carlo type of analysis in order to simulate the development of double cross-slip and composite slip. The model was then used to simulate stage-I (easy glide) stress-strain behaviour in body-centered cubic single crystals. This illustrated the feasibility of 3-dimensional dislocation dynamics models for predicting macroscopic properties such as flow stress and hardening, and their dependence upon microscopic parameters such as dislocation mobility, structure and pinning.

Models for Long-/Short-Range Interactions and Cross-Slip in 3D Dislocation Simulations of Body-Centered Cubic Single Crystals. M.Rhee, H.M.Zbib, J.P.Hirth, H.Huang, T.de la Rubia: Modelling and Simulation in Materials Science and Engineering, 1998, 6[4], 467-92