PERTURBATION-BASED STOCHASTIC MICROSCOPIC STRESS ANALYSIS OF A PARTICLE-REINFORCED COMPOSITE MATERIAL VIA STOCHASTIC HOMOGENIZATION ANALYSIS CONSIDERING UNCERTAINTY IN MATERIAL PROPERTIES

Abstract

This paper discusses stochastic multiscale stress analysis of a particle-reinforced composite material via the stochastic homogenization analysis. A microscopic random variation causes a random variation of a homogenized property and microscopic stress. For this stochastic stress analysis, a first-order perturbation-based approach is employed. The perturbation-based approach consists of stochastic homogenization, stochastic macroscopic, and microscopic stress analysis procedures. As an example, stochastic microscopic stress analysis for a microscopic random variation of a glass particle-reinforced composite material using the perturbation-based technique is performed. The obtained results are compared with the results of the Monte Carlo simulation; validity and application limit of the first-order perturbation-based approach is investigated.