Abstract
A multi scale computational method using stochastic homogenization method is applied to the prediction of homogenized material property of porous materials. The purpose of this work is to simulate uncertainty existing in microscopic field of spherical porous material so that the homogenized property of interest can be predicted with high reliability. Moreover the final goal is to build a bridge of feedback between microstructure design and fabrication to update probabilistic prediction by fabrication and measurement data. The uncertainty are identified as parametric variables in constituent material property and nonparametric variables in morphological fluctuation such as disordering and clustering in microstructure. First-order perturbation based stochastic homogenization method together with mixture distribution technique are employed for a stochastic prediction. The main conclusion coming from the new method derived by gap between measured data and prediction showed that, when the update is used for morphology prediction of microstructure, it is almost perfect agreement with parameters' setup of virtual experiment. After it is applied for update of probabilistic homogenized property, it could make the updated homogenized property closer to measurement data so that it becomes more realistic.
