Effective strain gradient continuum model of metamaterials and size effects analysis

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dc.contributor.authorYang, Hua
dc.contributor.authorTimofeev, Dmitry
dc.contributor.authorGiorgio, Ivan
dc.contributor.authorMüller, Wolfgang H.
dc.date.accessioned2021-03-12T07:37:57Z
dc.date.available2021-03-12T07:37:57Z
dc.date.issued2020-08-28
dc.description.abstractIn this paper, a strain gradient continuum model for a metamaterial with a periodic lattice substructure is considered. A second gradient constitutive law is postulated at the macroscopic level. The effective classical and strain gradient stiffness tensors are obtained based on asymptotic homogenization techniques using the equivalence of energy at the macro- and microscales within a so-called representative volume element. Numerical studies by means of finite element analysis were performed to investigate the effects of changing volume ratio and characteristic length for a single unit cell of the metamaterial as well as changing properties of the underlying material. It is also shown that the size effects occurring in a cantilever beam made of a periodic metamaterial can be captured with appropriate accuracy by using the identified effective stiffness tensors.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/11303/12805
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-11605
dc.language.isoen
dc.relation.ispartof10.14279/depositonce-12553en
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.ddc530 Physiken
dc.subject.otherasymptotic homogenization methoden
dc.subject.othereffective continuumen
dc.subject.otherfinite element methoden
dc.subject.otherstrain gradient elasticityen
dc.subject.othermetamaterialsen
dc.titleEffective strain gradient continuum model of metamaterials and size effects analysisen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1007/s00161-020-00910-3en
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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