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The existence of a well defined yield stress, where a macroscopic piece ofcrystal begins to plastically flow, has been one of the basic observations ofmaterials science. In contrast to macroscopic samples, in micro- andnanocrystals the strain accumulates in distinct, unpredictable bursts, whichmakes controlled plastic forming rather difficult. Here we study by simulation,in two and three dimensions, plastic deformation of submicron objects underincreasing stress. We show that, while the stress-strain relation of individualsamples exhibits jumps, its average and mean deviation still specify awell-defined critical stress, which we identify with the jamming-flowingtransition. The statistical background of this phenomenon is analyzed throughthe velocity distribution of short dislocation segments, revealing a universalcubic decay and an appearance of a shoulder due to dislocation avalanches. Ourresults can help to understand the jamming-flowing transition exhibited by aseries of various physical systems.

Submicron plasticity: yield stress, dislocation avalanches, and velocity distribution