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Title: Numerical solution of a bending-torsion model for elastic rods
Author(s): Bartels, SörenLook up in the Integrated Authority File of the German National Library
Reiter, PhilippLook up in the Integrated Authority File of the German National Library
Issue Date: 2020
Type: Article
Language: English
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.
Open Access: Open access publication
License: (CC BY 4.0) Creative Commons Attribution 4.0(CC BY 4.0) Creative Commons Attribution 4.0
Journal Title: Numerische Mathematik
Publisher: Springer
Publisher Place: Berlin
Volume: 146
Original Publication: 10.1007/s00211-020-01156-6
Page Start: 661
Page End: 697
Appears in Collections:Open Access Publikationen der MLU

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