Shear deformation at high strain rates was modelled within the framework of discrete dislocation plasticity. The total stress and deformation state was split into a state due to dislocations in an infinite medium, and a complementary image field. The stress and displacement fields for high-speed dislocations were used, as well as a velocity-dependent drag coefficient. Sources and obstacles were introduced into the material, and constitutive rules were imposed for the creation and annihilation of dislocations. A novel criterion was introduced, according to which the properties were projected into a 2-dimensional simulation domain. The question of whether it was possible to ignore accelerations, as in the case of simulation at lower deformation rates, was considered.
A Two-Dimensional Computational Methodology for High-Speed Dislocations in High Strain-Rate Deformation. A.Roos, J.T.M.De Hosson, E.Van der Giessen: Computational Materials Science, 2001, 20[1], 1-18