Abstract
One of the common approaches in the micromechanics of structurally inhomogeneous media with a random structure is connected with the methods of statistical mechanics for many-particle systems. The approach to the analysis of the distribution of stress and strain fields in representative volumes of heterogeneous media introduced in this paper is based on reconstruction of the distribution laws for each component. Methods for finding parameters of distribution laws are described, different types of distribution laws were compared. The technique of analysis of failure probability of microstructural elements is given. Some numerical results for particular case studies are presented.
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