Effect of pile-ups of dislocations in numerical analysis of fatigue crack propagation using discrete dislocations method

In this study, the numerical simulation of fatigue crack propagation in plane strain state was conducted using the discrete dislocations method and the effect of pile-ups of edge dislocations in this method is discussed. In the numerical simulation, the nucleation and the motion of dislocations are constrained by the pile-ups of dislocations which are nucleated in the past cycles, thus, the crack propagation rate after the second cycle is decreased compared with the first cycle.