Finite element formulations for large strain anisotropic material with inextensible fibers

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dc.identifier.uri http://dx.doi.org/10.15488/1931
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/1956
dc.contributor.author Wriggers, Peter
dc.contributor.author Schröder, J.
dc.contributor.author Auricchio, F.
dc.date.accessioned 2017-09-14T14:09:01Z
dc.date.available 2017-09-14T14:09:01Z
dc.date.issued 2016
dc.identifier.citation Wriggers, P.; Schröder, J.; Auricchio, F.: Finite element formulations for large strain anisotropic material with inextensible fibers. In: Advanced Modeling and Simulation in Engineering Sciences 3 (2016), No. 35. DOI: https://doi.org/10.1186/s40323-016-0079-3
dc.description.abstract Anisotropic material with inextensible fibers introduce constraints in the mathematical formulations. This is always the case when fibers with high stiffness in a certain direction are present and a relatively weak matrix material is supporting these fibers. In numerical solution methods like the finite element method the presence of constraints - in this case associated to a possible fiber inextensibility compared to a matrix - lead to so called locking-phenomena. This can be overcome by special interpolation schemes as has been discussed extensively for volume constraints like incompressibility as well as contact constraints. For anisotropic material behaviour the most severe case is related to inextensible fibers. In this paper a mixed method is developed that can handle anisotropic materials with inextensible fibers that can be relaxed to extensible fiber behaviour. For this purpose a classical ansatz, known from the modeling of volume constraint is adopted leading stable elements that can be used in the finite strain regime. eng
dc.description.sponsorship DFG/SPP/1748
dc.description.sponsorship DFG/WR19/50-1
dc.description.sponsorship DFG/SCHR570/23-1
dc.language.iso eng
dc.publisher Heidelberg : Springer Verlag
dc.relation.ispartofseries Advanced Modeling and Simulation in Engineering Sciences (2016)
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0
dc.subject Anisotropic material eng
dc.subject Finite element analysis eng
dc.subject Mixed methods eng
dc.subject Constraints eng
dc.subject.ddc 620 | Ingenieurwissenschaften und Maschinenbau ger
dc.title Finite element formulations for large strain anisotropic material with inextensible fibers eng
dc.type article
dc.type Text
dc.relation.issn 22137467
dc.relation.doi https://doi.org/10.1186/s40323-016-0079-3
dc.bibliographicCitation.volume 3
dc.bibliographicCitation.firstPage 35
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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