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

dc.contributor.authorAbali, Bilen Emek
dc.contributor.authorBarchiesi, Emilio
dc.date.accessioned2021-04-08T07:03:43Z
dc.date.available2021-04-08T07:03:43Z
dc.date.issued2020-10-30
dc.description.abstractMetamaterials 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.en
dc.description.sponsorshipTU Berlin, Open-Access-Mittel – 2020en
dc.identifier.eissn1432-0959
dc.identifier.issn0935-1175
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/12966
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-11761
dc.language.isoen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.ddc530 Physiken
dc.subject.otherfinite element methoden
dc.subject.otherFEMen
dc.subject.othergeneralized mechanicsen
dc.subject.otherhomogenizationen
dc.subject.othermetamaterialsen
dc.titleAdditive manufacturing introduced substructure and computational determination of metamaterials parameters by means of the asymptotic homogenizationen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1007/s00161-020-00941-wen
dcterms.bibliographicCitation.journaltitleContinuum Mechanics and Thermodynamicsen
dcterms.bibliographicCitation.originalpublishernameSpringerNatureen
dcterms.bibliographicCitation.originalpublisherplaceLondon [u.a.]en
tub.accessrights.dnbfreeen
tub.affiliationFak. 5 Verkehrs- und Maschinensysteme::Inst. Mechanik::FG Kontinuumsmechanik und Materialtheoriede
tub.affiliation.facultyFak. 5 Verkehrs- und Maschinensystemede
tub.affiliation.groupFG Kontinuumsmechanik und Materialtheoriede
tub.affiliation.instituteInst. Mechanikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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