Correlation functions for strain fields in elastic-plastic composites with random microstructure

Abstract

A technique has been developed and implemented to compute the correlation functions of strain fields in a representative volume of elastic-plastic composites under different loading conditions and for various isotropic physical-mechanical characteristics of components. The correlation functions of fields are obtained from the solution of a stochastic elastic-plastic boundary value problem based on full correlation approximation. The constants characterizing the properties of the components of a representative volume and which are part of integral expressions, as well as the geometrical properties of the components and representative volume, determined by the structural moments of functions, act as input parameters for calculations. Some case studies of the representative volumes of composites with randomly arranged porous spherical inclusions are considered, for which the correlation functions of the strain fields are constructed.