Multiscale stochastic stress analysis of FRP with a local surrogate considering randomness in many fibers location

Abstract

This paper describes a computational method for estimating the probabilistic properties of the microscopic maximum stress in FRP against microscopic random variations of many fibers location. A homogenization method is often used for multiscale stress analysis of composite materials, but it is generally assumed that the inclusions are periodically arranged. However, in fact, the arrangement of inclusions varies irregularly and randomly, whereby the maximum stress becomes larger than that of the assumed one due to the change of the stress field. Also, it is necessary to analyze the problem considering many inclusions variations to improve the accuracy of the analysis. In this research, therefore, an efficient method for he problem is developed. In this paper, accuracy and efficiency of the proposed are numerically investigated.