Design of thin micro-architectured panels with extension-bending coupling effects using topology optimization
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2873 | |
dc.contributor.author | Agnelli, Filippo | |
dc.contributor.author | Nika, Grigor | |
dc.contributor.author | Constantinescu, Andrei | |
dc.date.accessioned | 2022-07-05T14:28:47Z | |
dc.date.available | 2022-07-05T14:28:47Z | |
dc.date.issued | 2021 | |
dc.description.abstract | We design thin micro-architectured panels with programmable macroscopic behaviour using inverse homogenization, the Hadamard shape derivative, and a level set method in the diffuse interface context. The optimally designed microstructures take into account the extension-bending effect in addition to in-plane stiffness and out-of-plane bending stiffness. Furthermore, we present numerical examples of optimal microstructures that attain different targets for different volume fractions and interpret the physical significance of the extension-bending coupling. The simultaneous control of the in-plane, out-of-plane and their coupled behaviour enables to shift a flat panel into a dome or saddle shaped structure under the action of an in-plane loading. Moreover, the obtained unit cells are elementary blocks to create three-dimensional objects with shape-morphing capabilities. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9591 | |
dc.identifier.uri | https://doi.org/10.34657/8629 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2873 | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | |
dc.subject.other | Topology optimization | eng |
dc.subject.other | micro-architectured panels | eng |
dc.subject.other | shape morphing | eng |
dc.subject.other | inverse homogenization | eng |
dc.subject.other | level set method | eng |
dc.title | Design of thin micro-architectured panels with extension-bending coupling effects using topology optimization | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 34 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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