Numerical solution of a bending-torsion model for elastic rods
| Autor: | Sören Bartels, Philipp Reiter |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
genetic structures
Discretization Applied Mathematics Numerical analysis 65N12 57M25 010102 general mathematics Torsion (mechanics) 010103 numerical & computational mathematics Mechanics 01 natural sciences Instability Rod Condensed Matter::Soft Condensed Matter Computational Mathematics General theory Hyperelastic material Elastic rods sense organs Mathematics - Numerical Analysis 0101 mathematics Mathematics |
| DOI: | 10.25673/108827 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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