1991
DOI: 10.1016/0956-716x(91)90256-z
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Hall-petch relation in nanocrystalline solids

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Cited by 644 publications
(221 citation statements)
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“…Thus, it appears that the increasing hardness and strength observed in pure nanophase metals with decreasing grain size is simply a result of diminishing dislocation activity. While other mechanisms that have been recently suggested (7)(8)(9)(10)(11) might also play a role, no substantial experimental evidence for metal softening in this regime has yet been produced.…”
Section: Discussionmentioning
confidence: 99%
“…Thus, it appears that the increasing hardness and strength observed in pure nanophase metals with decreasing grain size is simply a result of diminishing dislocation activity. While other mechanisms that have been recently suggested (7)(8)(9)(10)(11) might also play a role, no substantial experimental evidence for metal softening in this regime has yet been produced.…”
Section: Discussionmentioning
confidence: 99%
“…The Hall-Petch relationship was shown to be valid for lamellar structures with an interboundary spacing of $20 nm in which the pile-ups involve approximately 10 dislocations within a single lamella [14] and the length of the pile-up is equal to the spacing between twin boundaries [15]. However, the K H value tends to decrease with decreasing interlamellar spacing, which can further lead to the so-called inverse Hall-Petch effect when the effective grain size falls below $ 10 nm [20,21].…”
Section: Introductionmentioning
confidence: 95%
“…The grain size is approximately 200 nm, which exceeds the critical grain size of several tens of nanometers considered a minimum for the viability of the dislocation activity. [25] When leading dislocations start to move and propagate plastic deformation into adjacent grains, the density of dislocations in the nanostructured region increases, causing work hardening.…”
Section: B Tensile Behaviormentioning
confidence: 99%