2006
DOI: 10.1016/j.scriptamat.2006.03.047
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Demonstration of an inverse Hall–Petch relationship in electrodeposited nanocrystalline Ni–W alloys through tensile testing

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Cited by 145 publications
(55 citation statements)
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“…16) This trend can be explained from the inverse Hall-Petch relationship reported in the amorphous/nanocrystalline duplex composite. 34,35) In the figure, the maximum peak is located at the position shifted to the advancing side, which is in good agreement with the previous report in crystalline material, 31) and which may be originated from the difference of the material flow between the advancing side and the retreating side. Figure 6 shows the normalized hardness as a function of the volume fraction (V f ) of the crystalline phase for the FSP specimen in this study and those of other BMGs.…”
Section: Resultssupporting
confidence: 91%
“…16) This trend can be explained from the inverse Hall-Petch relationship reported in the amorphous/nanocrystalline duplex composite. 34,35) In the figure, the maximum peak is located at the position shifted to the advancing side, which is in good agreement with the previous report in crystalline material, 31) and which may be originated from the difference of the material flow between the advancing side and the retreating side. Figure 6 shows the normalized hardness as a function of the volume fraction (V f ) of the crystalline phase for the FSP specimen in this study and those of other BMGs.…”
Section: Resultssupporting
confidence: 91%
“…'grain size softening' (also called the inverse Hall-Petch relationships) [2]. A number of theories and models have been developed to understand the deviation of the strength from the empirical Hall-Petch equation [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Recent molecular dynamics (MD) simulations have improved our understanding of the deformation of nanocrystalline materials [13].…”
Section: Introductionmentioning
confidence: 99%
“…The mechanical, magnetic and electrical properties of the nanocrystalline materials sometimes break the conventional scaling laws. For instance, many studies have reported that the hardness 4) (or yield strength 5) ) peaks out at the grain size of around a dozen nanometers before reaching amorphous limit, termed HallPetch breakdown. Similar trend is true for the coercivity of nanocrystalline ferromagnetic alloys.…”
Section: Introductionmentioning
confidence: 99%