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Statistical theory of the microdeformations of polycrystals. I

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Abstract

A model of microdeformations in a polycrystal which takes into account the inhomogeneity due to grain reorientation in its stressed state is considered. Using the apparatus of the theory of random functions, theoretical calculations are made of the true and macroscopic elastic limits of the polycrystal. It is shown that the limits depend on the functional form of the grain distribution density as a function of the stresses, composition, and state of the alloy, and the nature of the dislocation sources.

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Authors and Affiliations

  1. V. D. Kuznetsov Siberian Physicotechnical Institute, Tomsk State University, USSR

    L. D. Dikusar, E. F. Dudarev & V. E. Panin

Authors
  1. L. D. Dikusar
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  2. E. F. Dudarev
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  3. V. E. Panin
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 96–101, August, 1971.

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Dikusar, L.D., Dudarev, E.F. & Panin, V.E. Statistical theory of the microdeformations of polycrystals. I. Soviet Physics Journal 14, 1097–1101 (1971). https://doi.org/10.1007/BF00820075

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  • DOI: https://doi.org/10.1007/BF00820075

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