  Metamaterials exhibit materials response deviation from conventional
elasticity. This phenomenon is captured by the generalized elasticity as a
result of extending the theory at the expense of introducing additional
parameters. These parameters are linked to internal length scales. Describing
on a macroscopic level a material possessing a substructure at a microscopic
length scale calls for introducing additional constitutive parameters.
Therefore, in principle, an asymptotic homogenization is feasible to determine
these parameters given an accurate knowledge on the substructure. Especially in
additive manufacturing, known under the infill ratio, topology optimization
introduces a substructure leading to higher order terms in mechanical response.
Hence, weight reduction creates a metamaterial with an accurately known
substructure. Herein, we develop a computational scheme using both scales for
numerically identifying metamaterials parameters. As a specific example we
apply it on a honeycomb substructure and discuss the infill ratio. Such a
computational approach is applicable to a wide class substructures and makes
use of open-source codes; we make it publicly available for a transparent
scientific exchange.
