Abstract
This paper describes an inverse stochastic homogenization analysis of a particle composite material considering correlated multiple microscopic random variations. Since a microscopic random variation will cause a random response of an equivalent material property or mechanical response of a composite structure, the analysis of its influence is important for reliability evaluation of the structure. On the other hand, in general, the probabilistic property of a microscopic quantity is unknown after manufacturing. From this reason, this study aims at development of the analysis method for the inverse stochastic homogenization problem, which identifies the microscopic probabilistic property from that of the macroscopic quantities. In particular, applicability of the polynomial-based approximation to the inverse stochastic homogenization analysis is investigated in this paper.
