Abstract
This paper discusses the multiscale stochastic stress analysis of a resin-based porous material having a quasi-periodic microstructure. For the purpose of the analysis on the influence of a microscopic geometrical random variation of holes, the perturbation-based multiscale stochastic stress analysis method is employed. As the microscopic geometrical random variables, the volume fraction, shape and location of the holes are taken into account, and in order to compute the perturbation term of the microscopic stresses for the microscopic geometrical random variation, the finite difference method is used. With the numerical results of the multiscale stochastic stress analysis of the porous material, the probabilistic response of the microscopic stresses for the microscopic randomness is investigated. Also, the accuracy of the perturbation-based approach is discussed in comparison with the results of the Monte-Carlo simulation.
