Derivation of effective models from heterogenous Cosserat media via periodic unfolding
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2817 | |
dc.contributor.author | Nika, Grigor | |
dc.date.accessioned | 2022-07-05T14:00:01Z | |
dc.date.available | 2022-07-05T14:00:01Z | |
dc.date.issued | 2021 | |
dc.description.abstract | We derive two different effective models from a heterogeneous Cosserat continuum taking into account the Cosserat intrinsic length of the constituents. We pass to the limit using homogenization via periodic unfolding and in doing so we provide rigorous proof to the results introduced by Forest, Pradel, and Sab (Int. J. Solids Structures 38 (26-27): 4585-4608 '01). Depending on how different characteristic lengths of the domain scale with respect to the Cosserat intrinsic length, we obtain either an effective classical Cauchy continuum or an effective Cosserat continuum. Moreover, we provide some corrector type results for each case. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9535 | |
dc.identifier.uri | https://doi.org/10.34657/8573 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2817 | |
dc.relation.hasversion | https://doi.org/10.1007/s11587-021-00610-3 | |
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 | Cosserat continuum | eng |
dc.subject.other | size effects | eng |
dc.subject.other | homogenization | eng |
dc.subject.other | periodic unfolding | eng |
dc.title | Derivation of effective models from heterogenous Cosserat media via periodic unfolding | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 24 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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