Asymptotic expansion homogenization analysis using two-phase representative volume element for non-periodic materials

Asymptotic expansion homogenization (AEH) method is a well-known approach based on the assumption of the periodicity of microstructures to obtain the homogenized material properties of composite materials. The main advantage of this method is that it can be used as a multiscale simulation tool. A new AEH method is developed in this study to estimate the homogenized elastic properties of non-periodic composite materials using two-phase representative volume elements (RVEs) composed of the inner phase of a non-periodic composite material and the outer phase of a homogenized material. The AEH method is repeatedly applied to the two-phase RVEs to update the homogenized elastic properties of non-periodic composite materials.