A simple statistical analysis of the structure of super-dislocations in L12 compounds which exhibited the well-known yield-strength anomaly was developed. The analysis was based upon the super-kink model for dislocation dynamics, it which it was assumed that a super-dislocation propagated via the lateral motion of super-kinks. The analysis was used to assess the probability that a super-dislocation was immobile, and this probability was found to depend exponentially upon the nominal length of the super-dislocation. The statistical analysis required a knowledge of the global distribution of super-kink lengths in order to obtain quantitative relative immobilization rates. Such information was extracted from published experimental work or from other simulations. The implications of both super-kink distributions were explored, and the predictions of the analysis appeared to be consistent with the results of simulations.

Self-Immobilization of Super-Dislocations in L12 Alloys: a Simple Statistical Analysis. D.C.Chrzan, M.D.Uchic, W.D.Nix: Philosophical Magazine A, 1999, 79[10], 2397-412