Fast Statistical Homogenization Procedure for estimation of effective properties of Ceramic Matrix Composites (CMC) with random microstructure

The modern polycrystalline composite materials have a complex internal structure consisting of different phases and interfaces with random distribution. Relevant examples are Al2O3/ZrO2, i.e. alumina/zirconia composites, widely used as structural applications ranging from aerospace to bio-engineering. Depending on the content grain size broad range material characteristics, among which elastic constants, can be obtained. With aim characterizing this class materials, we exploit numerical Fast Statistical Homogenization Procedure (FSHP) in order both estimate Representative Volume Elements (RVE) effective properties, assuming linear behaviour. 2-D analyses performed considering microstructure inspired by images real portions Al2O3/ZrO2 obtained scanning electron microscope. recent Virtual Element Method is combination FSHP approach numerically solve boundary value problems. Different volume contents considered pure Alumina zirconia. results useful reliably characterize such taking into account role played distribution grains.