Numerical solution of a bending-torsion model for elastic rods
Abstract: Aiming at simulating elastic rods, we discretize a rod model based on a general theory of hyperelasticity for inextensible and unshearable rods. After reviewing this model and discussing topological effects of periodic rods, we prove convergence of the discretized functionals and stability of a corresponding discrete flow. Our experiments numerically confirm thresholds, e.g., for Michell’s instability, and indicate a complex energy landscape, in particular in the presence of impermeability
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Notes
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Numerische Mathematik. - 146, 4 (2020) , 661-697, ISSN: 0945-3245
- Event
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Veröffentlichung
- (where)
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Freiburg
- (who)
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Universität
- (when)
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2020
- Creator
- DOI
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10.1007/s00211-020-01156-6
- URN
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urn:nbn:de:bsz:25-freidok-1743677
- Rights
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Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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25.03.2025, 1:46 PM CET
Data provider
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Associated
- Bartels, Sören
- Reiter, Philipp
- Universität
Time of origin
- 2020
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