S0303-3-5 Stochastic Homogenization Analysis of a Particle Reinforced Composite Material Considering Non-uniform Microscopic Random Variation

Abstract

This paper proposes a new approach for stochastic homogenization analysis of a particle reinforced composite material considering a random variation of an elastic property of component materials. Especially, a non-uniform microscopic random variation is taken into account. In order to analyze a stochastic homogenization problem considering a non-uniformly distributed random variation, a hierarchical modeling with an intermediate scale is introduced. In order to investigate validity of the proposed approach, stochastic homogenization analysis of a glass particle reinforced composite material is performed. From the numerical results, accuracy of the proposed approach is discussed.