Experimental verification and theoretical analysis of the relationships between hardness, elastic modulus, and the work of indentation

Rong Yang; Taihua Zhang; Peng Jiang; Yilong Bai

doi:10.1063/1.2944138

Experimental verification and theoretical analysis of the relationships between hardness, elastic modulus, and the work of indentation

Rong Yang^*
, Taihua Zhang
, Peng Jiang
, Yilong Bai

^*Corresponding author for this work

CAS - Institute of Mechanics

Research output: Contribution to journal › Article › peer-review

79 Scopus citations

Abstract

The relationship between hardness (H), reduced modulus (E_r), unloading work (W_u), and total work (W_t) of indentation is examined in detail experimentally and theoretically. Experimental study verifies the approximate linear relationship. Theoretical analysis confirms it. Furthermore, the solutions to the conical indentation in elastic-perfectly plastic solid, including elastic work (W_e), H, W_t, and W_u are obtained using Johnson's expanding cavity model and Laḿ solution. Consequently, it is found that the We should be distinguished from W_u, rather than their equivalence as suggested in ISO14577, and (H/E_r)/(W_uW_t) depends mainly on the conical angle, which are also verified with numerical simulations.

Original language	English
Article number	231906
Journal	Applied Physics Letters
Volume	92
Issue number	23
DOIs	https://doi.org/10.1063/1.2944138
State	Published - 2008
Externally published	Yes

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title = "Experimental verification and theoretical analysis of the relationships between hardness, elastic modulus, and the work of indentation",

abstract = "The relationship between hardness (H), reduced modulus (Er), unloading work (Wu), and total work (Wt) of indentation is examined in detail experimentally and theoretically. Experimental study verifies the approximate linear relationship. Theoretical analysis confirms it. Furthermore, the solutions to the conical indentation in elastic-perfectly plastic solid, including elastic work (We), H, Wt, and Wu are obtained using Johnson's expanding cavity model and Laḿ solution. Consequently, it is found that the We should be distinguished from Wu, rather than their equivalence as suggested in ISO14577, and (H/Er)/(WuWt) depends mainly on the conical angle, which are also verified with numerical simulations.",

author = "Rong Yang and Taihua Zhang and Peng Jiang and Yilong Bai",

year = "2008",

doi = "10.1063/1.2944138",

language = "英语",

volume = "92",

journal = "Applied Physics Letters",

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T1 - Experimental verification and theoretical analysis of the relationships between hardness, elastic modulus, and the work of indentation

AU - Yang, Rong

AU - Zhang, Taihua

AU - Jiang, Peng

AU - Bai, Yilong

PY - 2008

Y1 - 2008

N2 - The relationship between hardness (H), reduced modulus (Er), unloading work (Wu), and total work (Wt) of indentation is examined in detail experimentally and theoretically. Experimental study verifies the approximate linear relationship. Theoretical analysis confirms it. Furthermore, the solutions to the conical indentation in elastic-perfectly plastic solid, including elastic work (We), H, Wt, and Wu are obtained using Johnson's expanding cavity model and Laḿ solution. Consequently, it is found that the We should be distinguished from Wu, rather than their equivalence as suggested in ISO14577, and (H/Er)/(WuWt) depends mainly on the conical angle, which are also verified with numerical simulations.

AB - The relationship between hardness (H), reduced modulus (Er), unloading work (Wu), and total work (Wt) of indentation is examined in detail experimentally and theoretically. Experimental study verifies the approximate linear relationship. Theoretical analysis confirms it. Furthermore, the solutions to the conical indentation in elastic-perfectly plastic solid, including elastic work (We), H, Wt, and Wu are obtained using Johnson's expanding cavity model and Laḿ solution. Consequently, it is found that the We should be distinguished from Wu, rather than their equivalence as suggested in ISO14577, and (H/Er)/(WuWt) depends mainly on the conical angle, which are also verified with numerical simulations.

UR - https://www.scopus.com/pages/publications/45149118586

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DO - 10.1063/1.2944138

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VL - 92

JO - Applied Physics Letters

JF - Applied Physics Letters

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ER -

Experimental verification and theoretical analysis of the relationships between hardness, elastic modulus, and the work of indentation

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