Dislocation dynamics simulations of the interaction of a circular dislocation pile-up with a short rigid fiber were considered. The pile-up was composed of glide dislocation loops which surrounded the fiber. This problem was treated as a boundary-value problem within the context of dislocation dynamics. The proper boundary condition was that of zero displacement at the fiber/matrix interfaces. Such a condition was satisfied by a distribution of image rectangular dislocation loops which meshed with the fiber surface. The unknowns in the problem were the Burgers vectors of the surface loops. When those were found, the Peach–Koehler force which acted on the circular dislocation loops and reproduced the fiber-dislocation interaction, could be determined. The dynamic arrangement of the circular pile-up then evolved naturally from a conventional dislocation dynamics analysis.

Dislocation Dynamics Simulations of the Interaction between a Short Rigid Fiber and a Glide Circular Dislocation Pile-Up. T.A.Khraishi, H.M.Zbib: Computational Materials Science, 2002, 24[3], 310-22