2010
DOI: 10.1557/jmr.2010.0267
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Theoretical analysis of the relationships between hardness, elastic modulus, and the work of indentation for work-hardening materials

Abstract: In our previous paper, the expanding cavity model (ECM) and Lamé solution were used to obtain an analytical expression for the scale ratio between hardness (H) to reduced modulus (E r ) and unloading work (W u ) to total work (W t ) of indentation for elastic-perfectly plastic materials. In this paper, the more general work-hardening (linear and power-law) materials are studied. Our previous conclusions that this ratio depends mainly on the conical angle of indenter, holds not only for elastic perfectly-plasti… Show more

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Cited by 25 publications
(15 citation statements)
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“…The value of κ is 6.76 for AZ31 and 6.85 for pure Mg; surprisingly, the alloying elements and crystallography have nearly no effect on κ. Both values are near 6.45, as calculated using the analytical formula κ -1 ≈ 2(1 -ν)/(3 tan α) by Yang et al [50], where ν = 0.35 is the Poisson ratio of the AZ31 and pure Mg [2], and α = 70.3° is the half-included angle of the indenter. Their proximity to 7.3 correlates with the fact that both materials are relatively soft [47,51].…”
Section: Work Of Nanoindentationmentioning
confidence: 83%
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“…The value of κ is 6.76 for AZ31 and 6.85 for pure Mg; surprisingly, the alloying elements and crystallography have nearly no effect on κ. Both values are near 6.45, as calculated using the analytical formula κ -1 ≈ 2(1 -ν)/(3 tan α) by Yang et al [50], where ν = 0.35 is the Poisson ratio of the AZ31 and pure Mg [2], and α = 70.3° is the half-included angle of the indenter. Their proximity to 7.3 correlates with the fact that both materials are relatively soft [47,51].…”
Section: Work Of Nanoindentationmentioning
confidence: 83%
“…Later, it was shown that it also depends on the material response to nanoindentation (i.e., piling-up and sinking-in around the indenter), the hardening exponent n [47], and the material's Poisson ratio ν [50]. In the case of nanoindentation, both AZ31 and pure Mg show similar behaviors with good linearity.…”
Section: Work Of Nanoindentationmentioning
confidence: 99%
“…Based on numerical simulations realized between the elastic recovery energy to the total work-ofindentation ratio and the hardness to the reduced elastic modulus ratio, numerous studies (Malzbender, 2005 ;Alkorta et al, 2006 ;Yang et al, 2008 ;Chen and Bull, 2009 ;Yang et al, 2010) propose the following linear relationship:…”
Section: Work-of-indentationmentioning
confidence: 99%
“…In fact, it can be found in several of the models proposed to calculate fracture toughness by sharp probe indentation, most notably in the work by Lawn and coworkers [20][21][22]. It has also been shown to be an indicator of surface resistance to sliding wear [23,24] of coated surfaces, and to be an important predictor of the amount of energy dissipated through plastic deformation during indentation [25,26].…”
Section: Materials Parameter Relationshipsmentioning
confidence: 99%