2020
DOI: 10.1088/1757-899x/881/1/012098
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Derivation of a new multiscale model: II. Deriving a modified Hall-Petch relation from the multiscale model and testing it for nano, micro, and macro materials

Abstract: In the present work, a multiscale Hall-Petch relation is derived from a new multiscale model and applied for all ranges of grain sizes. The derived multiscale Hall-Petch relation has a superior over the previous models represented by its direct applicability on any material without the need for prior knowledge of grain size distribution. The new multiscale relation applicability is tested with three elements Mg, Zn, and Fe due to their importance in industrial applications. The comparison among the coefficient… Show more

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Cited by 3 publications
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“…Physical and chemical materials properties greatly differ between nano to micro size 1 . Metal nanoparticles NPs with a high surface area, high density of active sites exposed to reactants, are significant for heterogeneous catalysis.…”
Section: Introductionmentioning
confidence: 99%
“…Physical and chemical materials properties greatly differ between nano to micro size 1 . Metal nanoparticles NPs with a high surface area, high density of active sites exposed to reactants, are significant for heterogeneous catalysis.…”
Section: Introductionmentioning
confidence: 99%