Full Article:

This paper describes a new computational methodology for the inverse stochastic homogenization problem. The inverse stochastic homogenization analysis will be performed for identigying a microscopic random variation in a microstructure of a heterogeneous material such as a composite material from a set of observed probabilistic characteristics if the homogenized material properties. In the previous paper, the Monde-Carlo simulation-based approach has been proposed, but it takes a high computational cost. For this problem, a function-approximation based inverse stochastic homogenization problem for a particle reinforced composite material is solved. From the numerical results, accuracy and effectiveness of the proposed approach will be discussed.