Finite element formulations for large strain anisotropic material with inextensible fibers

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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

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Sum total of downloads: 99




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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.
License of this version: CC BY 4.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2016
Appears in Collections:Fakultät für Maschinenbau

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pos. country downloads
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1 image of flag of Germany Germany 83 83.84%
2 image of flag of Russian Federation Russian Federation 4 4.04%
3 image of flag of Sweden Sweden 2 2.02%
4 image of flag of Iraq Iraq 2 2.02%
5 image of flag of Austria Austria 2 2.02%
6 image of flag of United States United States 1 1.01%
7 image of flag of Netherlands Netherlands 1 1.01%
8 image of flag of Europe Europe 1 1.01%
9 image of flag of Canada Canada 1 1.01%
10 image of flag of Brazil Brazil 1 1.01%
    other countries 1 1.01%

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