Numerical solution of a bending-torsion model for elastic rods
Numerical Analysis
2019-11-19 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1911.07024,
title = {Numerical solution of a bending-torsion model for elastic rods},
author = {Sören Bartels and Philipp Reiter},
journal= {arXiv preprint arXiv:1911.07024},
year = {2019}
}