ELASTOPLASTIC DEFORMATION OF DISPERSE COMPOSITES WITH A RAREFIED RANDOM STRUCTURE

摘要

Random field of structural strains and stresses in the problems of elastoplastic deformation of matrix composites with spherical and elliptical inclusions are studied. The elastoplastic boundary-value problem for structurally heterogeneous media is considered with account for a real form of moment functions of structural parameters. The problem solution is found in integro-differential equations by the method of Green functions in the complete correla tion approximation. The method of statistical averaging of the system of equations of elastoplastic isotropic composite material equilibrium is used. The elastoplastic boundary-value problem is solved by numerical integration. Approximations of moment functions of the structural properties of second and third orders are used in calculation of moments of stress and strain fields.