1990
DOI: 10.1002/pssa.2211190207
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Application of the Hall-Petch Relation to Microhardness Measurements on Al, Cu, Al-MD 105, and Al-Cu Alloys

Abstract: The hardness of materials, H, is dependent on grain diameter, d, in a similar way as the flow stress in the Hall‐Petch relation: H = Ho + KHd−1/2, where, Ho and KH are constants. The microhardness of 2S‐Al (99.5% Al), pure Cu, Al‐MD 105 (Al‐1% Al2O3), and Duralumin (Al‐3.94% Cu) is found to vary with grain size according to the Hall‐Petch equation with reasonable accuracy. The grain boundary hardening KH of Al‐MD 105 is found to be the highest although this material recrystallizes to larger grain sizes than th… Show more

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Cited by 80 publications
(32 citation statements)
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“…The alloys in this study also exhibit a linear relationship of hardness to grain size that follows the Hall-Petch relationship (see Figure 10) and was reported before for aluminum alloys (Taha and Hammad, 1990). It can be described with reasonable security by Equation 3 with K HV and H 0 being constants that were determined experimentally (see Table 3).…”
Section: Grain Sizessupporting
confidence: 86%
“…The alloys in this study also exhibit a linear relationship of hardness to grain size that follows the Hall-Petch relationship (see Figure 10) and was reported before for aluminum alloys (Taha and Hammad, 1990). It can be described with reasonable security by Equation 3 with K HV and H 0 being constants that were determined experimentally (see Table 3).…”
Section: Grain Sizessupporting
confidence: 86%
“…These hard particles strengthened the surface and offered greater resistance to the indentation produced by the indenter and a similar pattern was observed by another researcher [14]. Several factors influenced the strengthening of the composite, according to Hall-Petch theory, enhancement of hardness could be attributed to grain boundary strengthening [15]. The higher concentration of second phase titanium carbide reinforcement particles on the outer periphery (1 mm) resulted in decreased grain size of the matrix.…”
Section: Hardness Testingsupporting
confidence: 72%
“…The phase transformations discussed so far were accompanied by refined crystallite size in the heat treated coatings. This could have contributed to the improved microhardness of the heat treated coatings as explained by the Hall-Petch effect, which describes how the microhardness of non-work hardened bulk material can increase with a reduction in grain size [57,58]. The microhardness values of the coatings were nonetheless below those reported by Murray et al [6] for Al2O3 coatings sprayed with the same UTP TopGun.…”
Section: 3)mentioning
confidence: 79%