An efficient multiscale stochastic stress analysis of heterogeneous materials considering quasi-periodicity of material properties in microstructure

Abstract

This paper describes a multiscale stochastic stress analysis of a unidirectional fiber-reinforced composite materials considering the quasi-periodicity of material properties in microstructure. Since a microscopic random variation will cause a random response of an equivalent material property or mechanical response of a composite structure, the analysis is important for reliability evaluation of a composite structure. For this purpose, an efficient computational method is proposed in this paper. As a numerical example, the coefficient of variation of the maximum stresses observed in the microstructure of a composite material caused by a random variation of an elastic property of a component material is estimated. From the numerical results, effectiveness of the proposed method is discussed.