Abstract
Starting from an isotropic random distribution of the elastic moduli tensor components of a polycrystal caused by grain disorientation, an attempt is made to find the density distribution function of grain yield points in the direction of expansion at the first and second phases of microdeformation. This permits the solution of the problem of the change in the relative number of plastically deformed grains with increase in the external stress. The nature of the involvement of the grains in plastic deformation is analyzed in materials with various grains sizes.
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N. N. Afanas'ev, Statistical Theory of Fatigue Strength of Metals [in Russian], Izd. AN UkrSSR (1953).
L. D. Landau and E. M. Lifshitz, Theory of Elasticity, Pergamon Press (1959).
E. M. Lifshitz and L. N. Rozentsveig, Zh. Éksp. Teor. Fiz.,16, 967 (1946).
E. M. Lifshitz and L. N. Rozentsveig, Zh. Éksp. Teor. Fiz.,17, 509 (1947).
E. S. Ventsel', Theory of Probability [in Russian], Fizmatgiz, Moscow (1958).
L. D. Dikusar, E. F. Dudarev, and V. E. Panin, Izv. VUZ. Fizika, No. 8, 96 (1971).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 10, pp. 73–78, October, 1971.
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Dikusar, L.D., Dudarev, E.F. & Panin, V.E. Statistical theory of the microdeformation of polycrystals. II. Soviet Physics Journal 14, 1368–1372 (1971). https://doi.org/10.1007/BF00823880
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DOI: https://doi.org/10.1007/BF00823880