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Haasen plot analysis of the Hall–Petch effect in Cu/Nb nanolayer composites

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Abstract

We investigate the effects of layer thickness (t) on hardness (H) and rate sensitivity of the hardness (∂H/∂ ln \(\dot \varepsilon \)) in 1 μm-thick Cu/Nb nanolayer composites. For t < 10 nm, we find that H correlates with t according to H = H0 = H1t-1/2, suggestive of a Hall–Petch mechanism with layer interfaces replacing grain boundaries as barriers against dislocation motion. The measured levels of ∂H/∂ ln \(\dot \varepsilon \) clearly indicate the operation of bulk-like dislocation mechanisms consistent with a Hall–Petch mechanism. However, based on a Haasen-plot activation analysis, it appears that the Hall–Petch coefficient, H1, is strongly rate-dependent, inconsistent with a conventional Hall–Petch mechanism. For specimens with t < 10 nm there is a saturation in hardness, but the rate sensitivity data indicate no clear evidence of a corresponding change in mechanism. Simple models are proposed.

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Authors and Affiliations

  1. Department of Materials Science and Engineering, University of Wisconsin at Madison, 53706, Madison, Wisconsin, USA

    M. F. Tambwe & D. S. Stone

  2. Los Alamos National Laboratory, 87545, Los Alamos, Mexico

    A. J. Griffin, H. Kung, Y. Cheng & M. Nastasi

Authors
  1. M. F. Tambwe
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  2. D. S. Stone
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  3. A. J. Griffin
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  4. H. Kung
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  5. Y. Cheng
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  6. M. Nastasi
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Tambwe, M.F., Stone, D.S., Griffin, A.J. et al. Haasen plot analysis of the Hall–Petch effect in Cu/Nb nanolayer composites. Journal of Materials Research 14, 407–417 (1999). https://doi.org/10.1557/JMR.1999.0059

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