A Discrete Mechanics Approach to the Cosserat Rod Theory—Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids
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
- Martina Stavole (ORCID: https://orcid.org/0009-0008-1402-2645)
- Joachim Linn (ORCID: https://orcid.org/0000-0003-2823-8742)
- Rodrigo T. Sato Martín de Almagro (ORCID: https://orcid.org/0000-0001-9953-8414)
- Sigrid Leyendecker (ORCID: https://orcid.org/0000-0002-8585-2725)
- T. C. Wang
- Holger Lang
Institutions
- Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
- Fraunhofer Institute for Industrial Mathematics (DE)
Publication Details
- Journal
- International Journal for Numerical Methods in Engineering
- Published
- 2025-12-05
- DOI
- https://doi.org/10.1002/nme.70190
- Primary Topic
- Nonlocal and gradient elasticity in micro/nano structures
- Type
- article
- Field-Weighted Citation Impact
- 0.00