A quantitative analysis for the stress field around an elastoplastic indentation/contact

Gang Feng*, Shaoxing Qu, Yonggang Huang, William D. Nix

*Corresponding author for this work

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

In our previous paper [G. Feng et al., Acta Mater. 55, 2929 (2007)], an analytical model is proposed to estimate the stress field around an elastoplastic indentation/contact, matching nicely with the finite element analysis. The model is related to an embedded center of dilatation (ECD) in a half-space. In this paper, we focus on determining the ECD strength B* and the ECD depth ξ. By matching an expanding cavity model and the ECD model, we find that B* ≈ Yc 3/6 and ξ ≈ 0.4c, where Y is the yield strength and c is the plastic zone radius. We provide a method to predict Y, c, and thereby B* as well as ξ through nanoindentation data, and we also demonstrate that pileup is the physical reason for the existence of the upper limit for the ratio of hardness to Y. Thus, our ECD model is completed by combining our previous paper (the analytical expression) and this paper (the essential parameters).

Original languageEnglish (US)
Pages (from-to)704-718
Number of pages15
JournalJournal of Materials Research
Volume24
Issue number3
DOIs
StatePublished - Mar 1 2009

Fingerprint

indentation
Indentation
quantitative analysis
stress distribution
Chemical analysis
Nanoindentation
Yield stress
Analytical models
yield strength
half spaces
nanoindentation
Hardness
Plastics
Finite element method
hardness
plastics
cavities
radii
estimates

ASJC Scopus subject areas

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

Cite this

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abstract = "In our previous paper [G. Feng et al., Acta Mater. 55, 2929 (2007)], an analytical model is proposed to estimate the stress field around an elastoplastic indentation/contact, matching nicely with the finite element analysis. The model is related to an embedded center of dilatation (ECD) in a half-space. In this paper, we focus on determining the ECD strength B* and the ECD depth ξ. By matching an expanding cavity model and the ECD model, we find that B* ≈ Yc 3/6 and ξ ≈ 0.4c, where Y is the yield strength and c is the plastic zone radius. We provide a method to predict Y, c, and thereby B* as well as ξ through nanoindentation data, and we also demonstrate that pileup is the physical reason for the existence of the upper limit for the ratio of hardness to Y. Thus, our ECD model is completed by combining our previous paper (the analytical expression) and this paper (the essential parameters).",
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A quantitative analysis for the stress field around an elastoplastic indentation/contact. / Feng, Gang; Qu, Shaoxing; Huang, Yonggang; Nix, William D.

In: Journal of Materials Research, Vol. 24, No. 3, 01.03.2009, p. 704-718.

Research output: Contribution to journalArticle

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