The equivalence of axisymmetric indentation model for three-dimensional indentation hardness

J. Qin, Yonggang Huang*, J. Xiao, K. C. Hwang

*Corresponding author for this work

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Nix and Gao [J. Mech. Phys. Solids 46, 411 (1998)] established an important relation between the microindentation hardness and indentation depth for axisymmetric indenters. We use the conventional theory of mechanism-based strain gradient plasticity [Y. Huang et al., Int. J. Plast. 20, 753 (2004)] established from the Taylor dislocation model [G.I. Taylor, Proc. R. Soc. London A 145, 362 (1934); G.I. Taylor, J. Inst. Met. 62, 307 (1938)] to study the Berkovich and other triangular pyramid indenters. The three-dimensional finite element analysis shows that the widely used equivalence of equal base area leads to significant errors, particularly in microindentation. A new equivalence of equal angle is proposed for triangular pyramid indenters, and it has been validated for a large range of indenter angles and indentation depths.

Original languageEnglish (US)
Pages (from-to)776-783
Number of pages8
JournalJournal of Materials Research
Volume24
Issue number3
DOIs
StatePublished - Mar 1 2009

Fingerprint

pyramids
indentation
Indentation
microhardness
equivalence
hardness
Hardness
Nix
plastic properties
Plasticity
Finite element method
gradients

ASJC Scopus subject areas

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

Cite this

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title = "The equivalence of axisymmetric indentation model for three-dimensional indentation hardness",
abstract = "Nix and Gao [J. Mech. Phys. Solids 46, 411 (1998)] established an important relation between the microindentation hardness and indentation depth for axisymmetric indenters. We use the conventional theory of mechanism-based strain gradient plasticity [Y. Huang et al., Int. J. Plast. 20, 753 (2004)] established from the Taylor dislocation model [G.I. Taylor, Proc. R. Soc. London A 145, 362 (1934); G.I. Taylor, J. Inst. Met. 62, 307 (1938)] to study the Berkovich and other triangular pyramid indenters. The three-dimensional finite element analysis shows that the widely used equivalence of equal base area leads to significant errors, particularly in microindentation. A new equivalence of equal angle is proposed for triangular pyramid indenters, and it has been validated for a large range of indenter angles and indentation depths.",
author = "J. Qin and Yonggang Huang and J. Xiao and Hwang, {K. C.}",
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The equivalence of axisymmetric indentation model for three-dimensional indentation hardness. / Qin, J.; Huang, Yonggang; Xiao, J.; Hwang, K. C.

In: Journal of Materials Research, Vol. 24, No. 3, 01.03.2009, p. 776-783.

Research output: Contribution to journalArticle

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AU - Huang, Yonggang

AU - Xiao, J.

AU - Hwang, K. C.

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Y1 - 2009/3/1

N2 - Nix and Gao [J. Mech. Phys. Solids 46, 411 (1998)] established an important relation between the microindentation hardness and indentation depth for axisymmetric indenters. We use the conventional theory of mechanism-based strain gradient plasticity [Y. Huang et al., Int. J. Plast. 20, 753 (2004)] established from the Taylor dislocation model [G.I. Taylor, Proc. R. Soc. London A 145, 362 (1934); G.I. Taylor, J. Inst. Met. 62, 307 (1938)] to study the Berkovich and other triangular pyramid indenters. The three-dimensional finite element analysis shows that the widely used equivalence of equal base area leads to significant errors, particularly in microindentation. A new equivalence of equal angle is proposed for triangular pyramid indenters, and it has been validated for a large range of indenter angles and indentation depths.

AB - Nix and Gao [J. Mech. Phys. Solids 46, 411 (1998)] established an important relation between the microindentation hardness and indentation depth for axisymmetric indenters. We use the conventional theory of mechanism-based strain gradient plasticity [Y. Huang et al., Int. J. Plast. 20, 753 (2004)] established from the Taylor dislocation model [G.I. Taylor, Proc. R. Soc. London A 145, 362 (1934); G.I. Taylor, J. Inst. Met. 62, 307 (1938)] to study the Berkovich and other triangular pyramid indenters. The three-dimensional finite element analysis shows that the widely used equivalence of equal base area leads to significant errors, particularly in microindentation. A new equivalence of equal angle is proposed for triangular pyramid indenters, and it has been validated for a large range of indenter angles and indentation depths.

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