We investigate the stability of the vortex configuration in thin super
conducting strips under an applied current analytically and by numeric
al simulation of the time-dependent Ginzburg-Landau equation. We show
that the stationary vortex lattice becomes unstable with respect to lo
ng-wavelength perturbations above some critical current I-c. We find t
hat at currents slightly exceeding I-c the vortex phase develops plast
ic flow, where large coherent pieces of the lattice are separated by l
ines of defects and slide with respect to each other (ice-floe-like mo
tion). At elevated current a transition to elastic flow is observed.