Harsch, JonasEugster, Simon R.2024-07-242024-07-2420231617-7061189692087Xhttp://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-147168http://elib.uni-stuttgart.de/handle/11682/14716http://dx.doi.org/10.18419/opus-14697The application of the Petrov-Galerkin projection method in Cosserat rod finite element formulations offers significant advantages in simplifying the expressions within the discrete virtual work functionals. Moreover, it enables a straight‐forward and systematic exchange of the ansatz functions, specifically for centerline positions and cross‐section orientations. In this concise communication, we present a total Lagrangian finite element formulation for Cosserat rods that attempts to minimize the number of required theoretical concepts. The chosen discretization preserves objectivity and allows for large displacements/rotations and for large strains. The orientation parametrization with nonunit quaternions results in a singularity‐free formulation.eninfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/4.0/620article2024-04-25