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 language | English (US) |
|---|---|
| Pages (from-to) | 776-783 |
| Number of pages | 8 |
| Journal | Journal of Materials Research |
| Volume | 24 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 1 2009 |
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ASJC Scopus subject areas
- Materials Science(all)
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics
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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 journal › Article
TY - JOUR
T1 - The equivalence of axisymmetric indentation model for three-dimensional indentation hardness
AU - Qin, J.
AU - Huang, Yonggang
AU - Xiao, J.
AU - Hwang, K. C.
PY - 2009/3/1
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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U2 - 10.1557/jmr.2009.0095
DO - 10.1557/jmr.2009.0095
M3 - Article
VL - 24
SP - 776
EP - 783
JO - Journal of Materials Research
JF - Journal of Materials Research
SN - 0884-2914
IS - 3
ER -