Stochastic Analysis of Microscopic Stress in Fiber Reinforced Composites Considering Uncertainty in a Microscopic Elastic Property

Abstract

This paper describes stochastic analysis of microscopic stresses in a fiber reinforced composite material caused by a random variation of an elastic property of a component material. The microscopic stress takes an influence of not only the microscopic random variation but also a macroscopic condition such as constant stress or strain. From this reason, the influence of the microscopic random variation on the microscopic stresses must be analyzed with using a multiscale analysis method. In order to investigate the stochastic characteristics of the stresses, the homogenization method and the Monte-Carlo simulation method are employed in this study. With numerical results, the stochastic characteristics of the microscopic stress caused by a random variation of an elastic property in component materials of a unidirectional fiber reinforced component material under constant macroscopic stress or strain condition are discussed.