A dislocation-based model was presented which was intended to predict the mechanical behaviour for low-amplitude fatigue loading. It was based upon a physical representation of the dislocation microstructure, according to a statistical distribution of dislocation dipoles acting as efficient obstacles to plastic slip. This led to a reduced set of equations that accurately predicted the development of hysteresis loops during cycling.

A Dislocation-Based Model for Low-Amplitude Fatigue Behaviour of Face-Centred Cubic Single Crystals. C.Déprés, M.Fivel, L.Tabourot: Scripta Materialia, 2008, 58[12], 1086-9