A Continuum Model for Dislocation Pile-up Problems (Accepted by Acta Materialia)
A continuum dislocation pile-up model is developed to solve problems with arrays of edge dislocations on one or multiple slip planes. The model solves pile-up problems in a discrete dislocation dynamics manner. The effect of anisotropy and stacking fault energy can be naturally modeled. The model is validated by reproducing the solutions of problems for which analytical solutions are available. More complicated phenomena such as interlacing and randomly distributed dislocations are also simulated.