An estimate was made of the saturation stress in cyclic plasticity; assuming only the bowing of screw dislocations and their simultaneous by-passing at a critical separation which was governed by their cross-section for mutual annihilation by cross-slip. It had been shown that simple addition of the 2 stresses was a poor approximation if the bowing stress was made equal to the passing stress, but the equations which governed the saturation stress and the associated average plastic strain in a persistent slip band were hardly altered. A comparison between theory and experiment revealed good quantitative agreement. An estimate was made of the alternating internal stress in a band, and reasons were given for why it did not contribute to the saturation stress.

Dislocation Bowing and Passing in Persistent Slip Bands. L.M.Brown: Philosophical Magazine, 2006, 86[25-26], 4055-68