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• W2036888937 abstract "Based on the dislocation pile-up theory and the Ashby model of polycrystalline deformation, an expression for flow stress was derived, which shows that the flow stress depends on the densities of statistically stored dislocation ρs and geometrically necessary dislocation ρg. The contribution of ρg to the flow stress is related to the grain boundary region fraction 1 − x which was derived to be the functions of ρs and ρg. This expression does not predict a precise Hall—Petch relation. If ρs dominates, the expression reduces to a linear σ−d−1 relation: if ρg dominates, the expression reduces to a linear σ−d−1/2 relation, i.e. the Hall—Petch relation. The expression was applied to calculate the σ−d−1/2 curves of three typical polycrystalline materials, aluminium, copper and brass in the literatures and very good agreements between the calculations and experiments were obtained. By incorporating the experimental data, the contributions of ρs and ρg to flow stress was analysed and the Hall—Petch parameters were discussed in terms of ρs and ρg." @default.
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• W2036888937 date "1995-09-01" @default.
• W2036888937 modified "2023-09-25" @default.
• W2036888937 title "A dislocation density approximation for the flow stress—grain size relation of polycrystals" @default.
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• W2036888937 doi "https://doi.org/10.1016/0956-7151(95)00031-p" @default.
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