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Heat Propagation in Deformable Polycrystalline Metals with Grain-Size Variation

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Abstract

Attention focuses on the heat propagation in metal polycrystals where the grain or subgrain size affects the strengthening—as a result of surface plastic deformation, for example. Effects associated with change in grain size are described by the Hall–Petch phenomenological model. A differential equation is obtained for the steady heat propagation in metals and alloys where plastic deformation within the statistical mean grain and close to its boundary modifies its size and shape.

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Funding

This work was supported by the Russian Science Foundation, project 19-19-00171.

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Correspondence to A. I. Khaimovich, N. M. Bobrovskii, A. A. Luk’yanov, A. A. D’yakonov, R. R. Kyarimov or A. S. Selivanov.

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Translated by B. Gilbert

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Khaimovich, A.I., Bobrovskii, N.M., Luk’yanov, A.A. et al. Heat Propagation in Deformable Polycrystalline Metals with Grain-Size Variation. Russ. Engin. Res. 40, 966–969 (2020). https://doi.org/10.3103/S1068798X2011012X

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  • DOI: https://doi.org/10.3103/S1068798X2011012X

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