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Metamaterials exhibit materials response deviation from conventionalelasticity. This phenomenon is captured by the generalized elasticity as aresult of extending the theory at the expense of introducing additionalparameters. These parameters are linked to internal length scales. Describingon a macroscopic level a material possessing a substructure at a microscopiclength scale calls for introducing additional constitutive parameters.Therefore, in principle, an asymptotic homogenization is feasible to determinethese parameters given an accurate knowledge on the substructure. Especially inadditive manufacturing, known under the infill ratio, topology optimizationintroduces a substructure leading to higher order terms in mechanical response.Hence, weight reduction creates a metamaterial with an accurately knownsubstructure. Herein, we develop a computational scheme using both scales fornumerically identifying metamaterials parameters. As a specific example weapply it on a honeycomb substructure and discuss the infill ratio. Such acomputational approach is applicable to a wide class substructures and makesuse of open-source codes; we make it publicly available for a transparentscientific exchange.

Additive manufacturing introduced substructure and computational determination of metamaterials parameters by means of the asymptotic homogenization