The equivalent axisymmetric model for Berkovich indenters in power-law hardening materials

Z. Shi, X. Feng*, Yonggang Huang, J. Xiao, K. C. Hwang

*Corresponding author for this work

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Nix and Gio [Nix, W.D., Gao, H.J., 1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. Journal of the Mechanics and Physics of Solids 46, 411-425] established an important relation between the micro-indentation hardness and indentation depth for axisymmetric indenters. For the Berkovich indenter, however, this relation requires an equivalent cone angle. Qin et al. [Qin, J., Huang, Y., Xiao, J., Hwang, K.C., 2009. The equivalence of axisymmetric indentation model for three-dimensional indentation hardness. Journal of Materials Research 24, 776-783] showed that the widely used equivalent cone angle from the criterion of equal base area leads to significant errors in micro-indentation, and proposed a new equivalence of equal cone angle for iridium. It is shown in this paper that this new equivalence holds for a wide range of plastic work hardening materials. In addition, the prior equal-base-area criterion does not hold because the Berkovich indenter gives much higher density of geometrically necessary dislocations than axisymmetric indenter. The equivalence of equal cone angle, however, does not hold for Vickers indenter.

Original languageEnglish (US)
Pages (from-to)141-148
Number of pages8
JournalInternational Journal of Plasticity
Volume26
Issue number1
DOIs
StatePublished - Jan 1 2010

Fingerprint

Indentation
Hardening
Cones
Hardness
Iridium
Strain hardening
Plasticity
Mechanics
Physics
Plastics
Crystalline materials

Keywords

  • 3D finite element analysis
  • Berkovich indenter
  • Indenter angle
  • Micro-indentation hardness
  • Strain gradient

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)

Cite this

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title = "The equivalent axisymmetric model for Berkovich indenters in power-law hardening materials",
abstract = "Nix and Gio [Nix, W.D., Gao, H.J., 1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. Journal of the Mechanics and Physics of Solids 46, 411-425] established an important relation between the micro-indentation hardness and indentation depth for axisymmetric indenters. For the Berkovich indenter, however, this relation requires an equivalent cone angle. Qin et al. [Qin, J., Huang, Y., Xiao, J., Hwang, K.C., 2009. The equivalence of axisymmetric indentation model for three-dimensional indentation hardness. Journal of Materials Research 24, 776-783] showed that the widely used equivalent cone angle from the criterion of equal base area leads to significant errors in micro-indentation, and proposed a new equivalence of equal cone angle for iridium. It is shown in this paper that this new equivalence holds for a wide range of plastic work hardening materials. In addition, the prior equal-base-area criterion does not hold because the Berkovich indenter gives much higher density of geometrically necessary dislocations than axisymmetric indenter. The equivalence of equal cone angle, however, does not hold for Vickers indenter.",
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The equivalent axisymmetric model for Berkovich indenters in power-law hardening materials. / Shi, Z.; Feng, X.; Huang, Yonggang; Xiao, J.; Hwang, K. C.

In: International Journal of Plasticity, Vol. 26, No. 1, 01.01.2010, p. 141-148.

Research output: Contribution to journalArticle

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AU - Feng, X.

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AU - Xiao, J.

AU - Hwang, K. C.

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KW - Strain gradient

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