Statistical theory of the microdeformation of polycrystals. II

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.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 10, pp. 73–78, October, 1971.