A Discrete Mechanics Approach to the Cosserat Rod Theory — Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids

Lang H, Sato Martin de Almagro R, Wang T, Stavole M, Linn J, Leyendecker S (2025)

Publication Type: Journal article, Original article

Publication year: 2025

Journal

International Journal for Numerical Methods in Engineering Wiley

Book Volume: 126

Article Number: e70190

Journal Issue: 23

DOI: 10.1002/nme.70190

Abstract

We apply the discrete mechanics approach to the discretisation of geometrically exact Cosserat rods. We consider discrete Cosserat rods defined on a vertex (or nodal) grid, as well as on a staggered grid, and provide a review and update of the results already obtained in Part I for the nodal model variant and, for the first time, present a detailed version for the staggered variant. Several numerical examples underline the validity of the presented theory.

Authors with CRIS profile

Holger Lang Institute of Applied Dynamics Rodrigo Sato Martin de Almagro Institute of Applied Dynamics Tengman Wang Institute of Applied Dynamics Martina Stavole Institute of Applied Dynamics Sigrid Leyendecker Institute of Applied Dynamics

Involved external institutions

Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics

How to cite

APA:

Lang, H., Sato Martin de Almagro, R., Wang, T., Stavole, M., Linn, J., & Leyendecker, S. (2025). A Discrete Mechanics Approach to the Cosserat Rod Theory — Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids. International Journal for Numerical Methods in Engineering, 126(23). https://doi.org/10.1002/nme.70190

MLA:

Lang, Holger, et al. "A Discrete Mechanics Approach to the Cosserat Rod Theory — Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids." International Journal for Numerical Methods in Engineering 126.23 (2025).

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