Title
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.
Year
DOI
Venue
2020
10.1007/s00211-020-01156-6
NUMERISCHE MATHEMATIK
Keywords
DocType
Volume
65N12, 57M25, 65N15, 65N30, 74K10
Journal
146
Issue
ISSN
Citations 
4
0029-599X
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Sören Bartels135556.90
Reiter Philipp200.68