Studied casual fields by the stresses and deformations in problems on elastoplastic deforming matrix composites with spherical and ellipsoidal cut-ins. Considered elastoplastic marginal problem for structured inhomogeneous medium in view of a real kind of moment functions by structural parameters. Decision of problem is found in integro-differential equations by the method the functions Grina in full correlation approach. The method of statistical averaging of system of the equations of balance elastoplastic isotropic composite material is applied. The elastoplastic boundary value problem is solved with the help of numerical integration. At the calculation of moments of fields of stresses and deformations are used approximations of moment functions by the structural parameters of second and third orders.