Stochastic Homogenization Analysis of Three-Dimensionally Woven Composite Material Considering Uncertainties in Geometrical and Physical Parameters

Abstract

In this paper, a stochastic homogenization analysis is applied to composite material with three-dimensionally woven structures. Firstly, the parameters of the variability or uncertainty in composite materials were defined. Physical parameters were decided from the material property of fiber and matrix and the volume fraction of fiber and void in each yarn. Geometrical parameters were decided from the size and the waviness of yarn. Secondly, stochastic homogenization analysis and sensitivity analysis with respect to the yarn in z direction were carried out. The probability density was obtained for each component of the homogenized elasticity tensor. Among three geometrical parameters for the yarn in z direction, its cross-sectional area was mostly influential on the results.