Stochastic homogenization analysis of FIB-SEM image-based hierarchical model of sprayed porous ZrO₂

Abstract

The stochastic prediction of apparent mechanical property of sprayed porous ZrO₂ film considering the scattering of Young's modulus of ZrO₂ is the purpose of this study. To take the morphology at nanoscale into consideration, FIB (focused ion beam)-SEM image-based modeling technique was employed. Pores were categorized into dot-like, large slit-like, small slit-like and small miscellaneous pores. Their representative dimensions were statistically measured using FIB-SEM and 2D SEM observation in order to generate larger sized microstructure model for homogenization analysis than the observable region by FIB-SEM. The dot-like pores were homogenized first, and hierarchical model was generated. The first-order perturbation based stochastic homogenization method for hierarchical model of porous material was proposed. The stochastic homogenized Young's modulus in the thickness direction, which is the spraying direction, was calculated and discussed.