The statistical origin of bulk mechanical properties and slip behavior in fcc metals

A dislocations-based model is presented for predicting the flow stress of a pre-deformed metal single crystal. The model is based upon a combination of basic dislocation physics, the distribution of dislocation segment lengths in cell walls and percolation theory. With only the magnitude of the Burgers vector and the elastic shear modulus as inputs, and with no adjustable parameters, the model correctly predicts the formation of slip lines and slip bands, the linear behavior of the stress–strain curve in stage II hardening, the Voce behavior in stage III and the magnitude of the flow stress for deformed Al single crystals.