Micropolar Modelling of Periodic Cauchy Materials Based on Asymptotic Homogenization

A micropolar-based asymptotic homogenization approach for the anal- ysis of composite materials with periodic microstructure is proposed. The macro descriptors are directly linked to both suitable perturbation functions, obtained via asymptotic homogenization scheme, and micropolar two-dimensional deformation modes. A properly conceived energy equivalence between the macroscopic point and a microscopic representative portion of the periodic composite material is intro- duced to derive the overall micropolar constitutive tensors. The resulting constitutive tensors are not affected by the choice of the periodic cell.