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The first plastic event occurring in discrete intermittent plasticity, as forexample a pop-in seen in nano-indentation, is evaluated with extreme valuestatistics. It is found that when the same deformation is repeated many times,the average of the stress at this first event is related to the deformingvolume via an exponentially truncated power-law. The present work demonstratesthis trend and the expected Weibull fluctuation around it. The statisticalformalism is shown to apply to the nano-indentation data of Morris {\em et al},Phys. Rev. Lett. 106, 165502 (2011), as well as to dislocation dynamicssimulations, which suggests a general phenomenon is at play. The truncatedpower law is found to uniquely determine an underlying critical stress masterprobability density function in terms of the Lambert-W function and the densityof discrete plastic events available to the crystal. Thus the developedprocedure allows for a quantitative characterization of a bulk material'sinitial microstructure via a deformation experiment that probes discreteintermittent plasticity.

The stress statistics of the first pop-in or intermittent plastic event in cyrstal plasticity