The paper discusses the main topics of the plenary report given at the 49th International Conference “Relevant Problems of Strength” (Kiev, June 14–17, 2010) dedicated to the 80th anniversary of Academician Trefilov’s birth. Special attention is paid to strengthening in transition from micro- to nanosizes. It is shown that S-functions can be used to obtain a generalized equation for the dependence of the yield strength on grain size with regard to changes in mechanisms of strengthening in polycrystals in the vicinity of grains with critical sizes dcr1 and dcr2. This equation can describe softening in transition to nanostructures (inverse Hall–Petch relation) and abrupt strengthening under increased intergranular cohesion.
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Translated from Poroshkovaya Metallurgiya, Vol. 49, No. 7–8 (474), pp. 19–33, 2010.
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Firstov, S.A. Trefilov and strength physics today. Powder Metall Met Ceram 49, 386–396 (2010). https://doi.org/10.1007/s11106-010-9249-x
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DOI: https://doi.org/10.1007/s11106-010-9249-x