A multi-scale homogenization-based approach for dynamic simulation of lattice metamaterials

Recent advancements in Additive Manufacturing have revolutionized mechanical component design. Lattice metamaterials, thanks to the possibility for effective control over their properties through the tuning of geometry layout, have gained great attention. However, the high computation time, required in all phases of numeric analyses is still a major challenge. The homogenization-based multi-scale analysis is a computationally efficient numerical approach, able to extrapolate the macroscopic behavior from microscopic analyses of unit cells. While homogenization techniques have been widely successful in static simulations, research on their dynamic behavior is still limited. Starting from the existing research in literature on composites, this study focuses on the development of a procedure based on the strain energy approach to retrieve the homogenized elastic and damping properties of lattice metamaterials. Moreover, the validity of the proposed algorithm is tested on a composite benchmark case and then applied to strut and surface-based lattices.