A Microscopic failure probability analysis of a unidirectional fiber reinforced composite material via a multiscale stochastic stress analysis for a microscopic random variation of an elastic property

This paper discusses a microscopic failure probability analysis of a microstructure in a composite material considering a microscopic randomness of both elastic properties and strength of component materials. Since a microscopic random variation of an elastic property of component materials will have an influence on a microscopic stress field, the influence of a microscopic random variation on a microscopic failure probability of a composite material should be investigated. For the analysis, the Monte-Carlo simulation, the perturbation-based stochastic homogenization method and a stochastic multiscale stress analysis method are employed. A random variation of the microscopic stresses and microscopic failure probability are estimated with the stochastic multiscale stress analysis methodology via the stochastic homogenization analysis.With the numerical examples, the influence of the microscopic random variation on the microscopic failure probability thorough the multiscale stress analysis is discussed. Also, accuracy of the perturbation-based approach is investigated with comparison of the Monte-Carlo simulation.

► We analyze failure probability of composites considering microscopic randomness. ► Both random variations of elastic properties and strength are considered. ► Accuracy of the proposed method is investigated compared with the MC simulation. ► Microscopic randomness of an elastic property causes increase of failure probability. ► The influence depends on macro and microscopic conditions and is complex.