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

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Title: A Discrete Mechanics Approach to the Cosserat Rod Theory—Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids.
Authors: Lang, Holger1 (AUTHOR), Sato Martín de Almagro, Rodrigo T.1 (AUTHOR) rodrigo.t.sato@fau.de, Wang, Tengman1 (AUTHOR), Stavole, Martina2 (AUTHOR), Linn, Joachim2 (AUTHOR), Leyendecker, Sigrid1 (AUTHOR)
Source: International Journal for Numerical Methods in Engineering. 12/15/2025, Vol. 126 Issue 23, p1-43. 43p.
Subjects: Static equilibrium (Physics), Numerical grid generation (Numerical analysis), Continuum mechanics, Geometric analysis
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. [ABSTRACT FROM AUTHOR]
Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Data: A Discrete Mechanics Approach to the Cosserat Rod Theory—Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids.
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+for+Numerical+Methods+in+Engineering%22">International Journal for Numerical Methods in Engineering</searchLink>. 12/15/2025, Vol. 126 Issue 23, p1-43. 43p.
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  Data: <searchLink fieldCode="DE" term="%22Static+equilibrium+%28Physics%29%22">Static equilibrium (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+grid+generation+%28Numerical+analysis%29%22">Numerical grid generation (Numerical analysis)</searchLink><br /><searchLink fieldCode="DE" term="%22Continuum+mechanics%22">Continuum mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+analysis%22">Geometric analysis</searchLink>
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  Data: 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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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              Text: 12/15/2025
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