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Micron-scale single crystalline materials deform plastically via largeintermittent strain bursts that make the deformation process unpredictable.Here we investigate this stochastic phenomenon by analysing the plasticresponse of an ensemble of specimens differing only in the initial arrangementof dislocations. We apply discrete dislocation dynamics simulations andmicrocompression tests on identically fabricated Cu single crystallinemicropillars. We find that a characteristic yield stress can be defined in theaverage sense for a given specimen ensemble, where the average and the varianceof the plastic strain start to increase considerably. In addition, in allstudied cases the stress values at a given strain follow a Weibull distributionwith similar Weibull exponents, which suggests that dislocation-mediatedplastic yielding is characterized by an underlying weakest-link phenomenon.These results are found not to depend on fine details of the actual set-up,rather, they represent general features of micron-scale plasticity.

Average yielding and weakest link statistics in micron-scale plasticity