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Dynamic nucleation of dislocations caused by a stress front ('shock') ofamplitude $\sigma_{\rm a}$ moving with speed $V$ is investigated by solvingnumerically the Dynamic Peierls Equation with an efficient method. Speed $V$and amplitude $\sigma_{\rm a}$ are considered as independent variables, with$V$ possibly exceeding the longitudinal wavespeed $c_{\rm L}$. Variousreactions between dislocations take place such as scattering, dislocation-pairnucleation, annihilation, and crossing. Pairs of edge dislocation are alwaysnucleated with speed $v\gtrsim c_{\rm L}$ (and likewise for screws with $c_{\rmL}$ replaced by $c_{\rm S}$, the shear wavespeed). The plastic wave exhibitsself-organization, forming distinct `bulk' and `front' zones. Nucleations occureither within the bulk or at the zone interface, depending on the value of $V$.The front zone accumulates dislocations that are expelled from the bulk or fromthe interface. In each zone, dislocation speeds and densities are measured asfunctions of simulation parameters. The densities exhibit a scaling behaviorwith stress, given by $((\sigma_a/\sigma_{\rm th})^2-1)^\beta$, where$\sigma_{\rm th}$ represents the nucleation threshold and $0<\beta<1$.

Shock-driven nucleation and self-organization of dislocations in the dynamical Peierls model