Crack-tip plasticity was simulated in terms of the motion of discrete dislocations. The results of the dislocation model were compared with the predictions of a continuum description of crack-tip plasticity in the case of a stationary mode-I fatigue crack. It was shown that both the dislocation model and continuum mechanics led to the same result at high loading levels, whereas they differed significantly for small stress-intensity ranges.

Comparison of a Discrete Dislocation Model and a Continuous Description of Cyclic Crack Tip Plasticity. F.O.Riemelmoser, R.Pippan, H.P.Stuwe: International Journal of Fracture, 1997, 85[2], 157-68