Dynamical computer simulation of the evolution of a one-dimensional dislocation pileup

Fast-sum method for the elastic field of three-dimensional dislocation ensembles

“…During the past decade, the approach of cellular automata was proposed by Lepinoux and Kubin 12 and that of dislocation dynamics by Ghoniem and Amodeo. 13,14 These early efforts were concerned with simplifying the problem by considering only ensembles of infinitely long, straight dislocations. The method was further expanded by a number of researchers, [15][16][17][18][19][20][21][22][23][24] , showing the possibility of simulating reasonable, albeit simplified dislocation microstructure.…”

“…It is therefore advantageous to reduce the number of interacting segments within a given computer simulation or to develop more efficient approaches to computations of the long-range field. 14,24,34 In this work, we aim at enhancing the current computational efforts on 3D dislocation dynamics ͑DD͒ ͑e.g., Ref.…”

Radiation effects on structural materials

“…The basic features of such structures were discussed, and the conditions allowing dislocation patterning behavior were described. Theoretical formulations that attempt to model this phenomenon were reviewed, with emphasis on recent dynamical computer simulations [34].…”

Physics-based void nucleation model using discrete dislocation dynamics and cluster dynamics models

“…In this section, the basic formulation of the DDD-FFT model, which will be used to accurately quantify the magnitude of consumed line tension energy during the formation of a cavity, is discussed. Assuming over-damped dynamics, the motion for dislocations is solved, which results in an update on the new nodal positions 55,56 . The most computationally expensive part of the calculations is the determination of the local mechanical fields arising from the dislocation network.…”