A Stochastic Homogenization Analysis for a Thermoelastic Problem of a Unidirectional Fiber-Reinforced Composite Material with the Homogenization Theory

Abstract

This article describes a stochastic homogenization analysis on a thermoelastic problem of a composite material. A basic formulation of the stochastic homogenization method with the homogenization theory for the thermoelastic properties is introduced at first. Next, the stochastic properties of the homogenized thermal expansion coefficient of a unidirectional fiber reinforced composite material for a microscopic random variation is analyzed. In addition, from the numerical results, accuracy of the perturbation-based approach for the stochastic homogenization analysis on the thermoelastic properties is investigated. Also, an example of stochastic thermal stress analysis of a composite material considering a microscopic random variation is provided.