PHCosseratRods

This repository contains the simulation results of the paper Kinon, P. L., Eugster, S. R. & Betsch, P. (2026): Mixed formulation and structure-preserving discretization of Cosserat rod dynamics in a port-Hamiltonian framework. This repository is licensed under the MIT License.

Table of Contents

1. Citation
2. Usage
3. References

Citation

If you found our work helpful and you have used it in your academic work, please cite it as:

@article{kinon_eugster_betsch_2026,
  title   = {Mixed formulation and structure-preserving discretization of Cosserat rod dynamics in a port-Hamiltonian framework},
  author  = {Philipp L. Kinon and Simon R. Eugster and Peter Betsch},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  year    = {2026},
  volume  = {458},
  pages   = {118966},
  doi     = {https://doi.org/10.1016/j.cma.2026.118966},
}

see also the CITATION.bib file for download.

Usage

The implementation has been done in the finite element code base moofeKIT. The results are documented here for reproducibility and verification purposes.

1. Clone this repository to your machine.
2. Open a terminal and navigate to your local clone.
3. Extract your desired result data as .csv-file data from the results folder. This folder contains subfolders for each experiment documented in the manuscript.
4. Use your favorite plotting tool to visualize the data.

References

In the manuscript, we compare our formulation to two other approaches from the literature: Herrmann & Kotyczka (2024) and Herrmann et al. (2025). The analytical reference solution in example 03 is due to Harsch et al. (2021). The data are available in this folder for your convenience. Please cite those works appropriately if you use the data.