A model of size effects in nano-indentation

Y. Huang*, F. Zhang, K. C. Hwang, W. D. Nix, G. M. Pharr, G. Feng

*Corresponding author for this work

Research output: Contribution to journalArticle

258 Scopus citations

Abstract

The indentation hardness-depth relation established by Nix and Gao [1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411-425] agrees well with the micro-indentation but not nano-indentation hardness data. We establish an analytic model for nano-indentation hardness based on the maximum allowable density of geometrically necessary dislocations. The model gives a simple relation between indentation hardness and depth, which degenerates to Nix and Gao [1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411-425] for micro-indentation. The model agrees well with both micro- and nano-indentation hardness data of MgO and iridium.

Original languageEnglish (US)
Pages (from-to)1668-1686
Number of pages19
JournalJournal of the Mechanics and Physics of Solids
Volume54
Issue number8
DOIs
StatePublished - Aug 1 2006

Keywords

  • Indenter tip radius
  • Maximum allowable density of geometrically necessary dislocations
  • Nano-indentation hardness
  • Taylor dislocation model

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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    Huang, Y., Zhang, F., Hwang, K. C., Nix, W. D., Pharr, G. M., & Feng, G. (2006). A model of size effects in nano-indentation. Journal of the Mechanics and Physics of Solids, 54(8), 1668-1686. https://doi.org/10.1016/j.jmps.2006.02.002