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Scale-dependent pop-ins in nanoindentation and scale-free plastic fluctuations in microcompression

  • John Shimanek (a1), Quentin Rizzardi (a1), Gregory Sparks (a1), Peter M. Derlet (a2) and Robert Maaß (a1)...

Abstract

Nanoindentation and microcrystal deformation are two methods that allow probing size effects in crystal plasticity. In many cases of microcrystal deformation, scale-free and potentially universal intermittency of event sizes during plastic flow has been revealed, whereas nanoindentation has been mainly used to assess the stress statistics of the first pop-in. Here, we show that both methods of deformation exhibit fundamentally different event-size statistics obtained from plastic instabilities. Nanoindentation results in scale-dependent intermittent microplasticity best described by Weibull statistics (stress and magnitude of the first pop-in) and lognormal statistics (magnitude of higher-order pop-ins). In contrast, finite-volume microcrystal deformation of the same material exhibits microplastic event-size intermittency of truncated power-law type even when the same plastic volume as in nanoindentation is probed. Furthermore, we successfully test a previously proposed extreme-value statistics model that relates the average first critical stress to the shape and scale parameter of the underlying Weibull distribution.

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Corresponding author

a)Address all correspondence to this author. e-mail: rmaass@illinois.edu

References

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Keywords

Scale-dependent pop-ins in nanoindentation and scale-free plastic fluctuations in microcompression

  • John Shimanek (a1), Quentin Rizzardi (a1), Gregory Sparks (a1), Peter M. Derlet (a2) and Robert Maaß (a1)...

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