Efficient methods for calculating the elastic field, self-force and interaction forces of 3-dimensional dislocations in anisotropic elastic crystals were developed for 3-dimensional dislocation dynamics. The elastic field of a general dislocation loop was determined by incorporating the numerically evaluated derivatives of Green’s functions into the fast sum method. The self-forces of dislocation loops were calculated via numerical integration, performed on the dislocation line. Marked effects of elastic anisotropy upon many facets (elastic fields, self-forces, operation of Frank-Read sources, dipole formation and break-up, dislocation junction strength) of dislocation dynamics were demonstrated. Large-scale 3-dimensional dislocation dynamics simulations were carried out for Cu single crystals. It was noted that the dislocation microstructure and the strain-hardening behavior were also strong functions of elastic anisotropy.

Parametric Dislocation Dynamics of Anisotropic Crystals. X.Han, N.M.Ghoniem, Z.Wang: Philosophical Magazine, 2003, 83[31], 3705-21