4.5 Article

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

期刊

JOURNAL OF MATERIALS RESEARCH
卷 35, 期 2, 页码 196-205

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CAMBRIDGE UNIV PRESS
DOI: 10.1557/jmr.2019.386

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资金

  1. NSF CAREER program [NSF DMR 1654065]
  2. Department of Materials Science and Engineering at UIUC

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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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