Abstract | ||
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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 Bartels | 1 | 355 | 56.90 |
Reiter Philipp | 2 | 0 | 0.68 |