Ultra short pulse shock wave propagation, plastic deformation and evolution of dislocations in Cu single crystals with (001), (011) and (111) orientations were investigated using multi-scale dislocation dynamics plasticity analyses. The effects of peak pressure, pulse duration, crystal anisotropy and the non-linear elastic properties on the interaction between shock wave and dislocations were investigated. The results of the calculations showed that the dislocation density had a power-law dependence upon pressure, with an exponent of 1.70, and that the dislocation density was proportional to pulse duration and sensitive to crystal orientation. These results were in very good agreement with the analytical predications of Meyers et al. and the experimental results of Murr. It was also shown that incorporating the effect of crystal anisotropy into the elastic properties resulted in an orientation-dependent wave speed and peak pressure. The relaxed configurations of dislocation microstructures showed the formation of micro-bands coincident with the slip planes.

Multiscale Dislocation Dynamics Simulations of Shock Compression in Copper Single Crystal. M.A.Shehadeh, H.M.Zbib, T.Diaz de la Rubia: International Journal of Plasticity, 2005, 21[12], 2369-90