Abstract
This paper discusses a numerical method for improving accuracy of the perturbation-based multiscale stochastic stress analysis for a composite material. This multiscale stochastic stress analysis will be performed via the stochastic homogenization analysis, and sometimes the accuracy becomes worse caused by a nonlinear or non-smooth response for a microscopic random variation. For this problem, an interval numerical integration for computation of variance or other stochastic moments is employed. As a numerical example, variance and the coefficient of variance of the maximum stresses observed in the microstructure of a composite material caused by a random variation of a component material property are estimated. From the numerical results, effectiveness of the proposed method is discussed.
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