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http://dx.doi.org/10.18419/opus-12325
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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Hinze, Matthias | - |
dc.contributor.author | Schmidt, André | - |
dc.contributor.author | Leine, Remco Ingmar | - |
dc.date.accessioned | 2022-08-25T15:31:20Z | - |
dc.date.available | 2022-08-25T15:31:20Z | - |
dc.date.issued | 2021 | - |
dc.identifier.issn | 2504-3110 | - |
dc.identifier.other | 1819372529 | - |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-123447 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/12344 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-12325 | - |
dc.description.abstract | In this paper, we introduce a formulation of fractional constitutive equations for finite element analysis using the reformulated infinite state representation of fractional derivatives. Thereby, the fractional constitutive law is approximated by a high-dimensional set of ordinary differential and algebraic equations describing the relation of internal and external system states. The method is deduced for a three-dimensional linear viscoelastic continuum, for which the hydrostatic and deviatoric stress-strain relations are represented by a fractional Zener model. One- and two-dimensional finite elements are considered as benchmark problems with known closed form solutions in order to evaluate the performance of the scheme. | en |
dc.language.iso | en | de |
dc.relation.uri | doi:10.3390/fractalfract5030132 | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0 | de |
dc.subject.ddc | 620 | de |
dc.title | Finite element formulation of fractional constitutive laws using the reformulated infinite state representation | en |
dc.type | article | de |
dc.date.updated | 2021-10-01T18:27:07Z | - |
ubs.fakultaet | Konstruktions-, Produktions- und Fahrzeugtechnik | de |
ubs.institut | Institut für Nichtlineare Mechanik | de |
ubs.publikation.seiten | 22 | de |
ubs.publikation.source | Fractal and fractional 5 (2021), No. 135 | de |
ubs.publikation.typ | Zeitschriftenartikel | de |
Enthalten in den Sammlungen: | 07 Fakultät Konstruktions-, Produktions- und Fahrzeugtechnik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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fractalfract-05-00132-v2.pdf | 521,16 kB | Adobe PDF | Öffnen/Anzeigen |
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