Indenter tip radius effect on the Nix-Gao relation in micro- and nanoindentation hardness experiments

S. Qu, Y. Huang*, W. D. Nix, H. Jiang, F. Zhang, K. C. Hwang

*Corresponding author for this work

Research output: Contribution to journalArticle

72 Citations (Scopus)

Abstract

Nix and Gao established an important relation between microindentation hardness and indentation depth. Such a relation has been verified by many microindentation experiments (indentation depths in the micrometer range , but it does not always hold in nanoindentation experiments (indentation depths approaching the nanometer range). We have developed a unified computational model for both micro- and nanoindentation in an effort to understand the breakdown of the Nix-Gao relation at indentation depths approaching the nanometer scale. The unified computational model for indentation accounts for various indenter shapes, including a sharp, conical indenter, a spherical indenter, and a conical indenter with a spherical tip. It is based on the conventional theory of mechanism-based strain gradient plasticity established from the Taylor dislocation model to account for the effect of geometrically necessary dislocations. The unified computational model for indentation indeed shows that the Nix-Gao relation holds in microindentation with a sharp indenter, bur it does not hold in nanoindentation due to the indenter tip radius effect.

Original languageEnglish (US)
Pages (from-to)3423-3434
Number of pages12
JournalJournal of Materials Research
Volume19
Issue number11
DOIs
StatePublished - Nov 1 2004

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Nix
Nanoindentation
nanoindentation
indentation
Indentation
microhardness
hardness
Hardness
radii
Experiments
plastic properties
Plasticity
micrometers
breakdown
gradients

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Qu, S. ; Huang, Y. ; Nix, W. D. ; Jiang, H. ; Zhang, F. ; Hwang, K. C. / Indenter tip radius effect on the Nix-Gao relation in micro- and nanoindentation hardness experiments. In: Journal of Materials Research. 2004 ; Vol. 19, No. 11. pp. 3423-3434.
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Indenter tip radius effect on the Nix-Gao relation in micro- and nanoindentation hardness experiments. / Qu, S.; Huang, Y.; Nix, W. D.; Jiang, H.; Zhang, F.; Hwang, K. C.

In: Journal of Materials Research, Vol. 19, No. 11, 01.11.2004, p. 3423-3434.

Research output: Contribution to journalArticle

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