%0 Journal Article %1 Harsch2023b %A Harsch, Jonas %A Eugster, Simon R. %D 2023 %J PAMM %K inm journal project_harsch %P e202300172 %R https://doi.org/10.1002/pamm.202300172 %T Nonunit quaternion parametrization of a Petrov--Galerkin Cosserat rod finite element %U https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202300172 %X Abstract The 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.

@article{Harsch2023b, abstract = {Abstract The 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.}, added-at = {2023-10-18T09:06:08.000+0200}, author = {Harsch, Jonas and Eugster, Simon R.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/24a4317091d10643291a87a93e40f985d/inm}, doi = {https://doi.org/10.1002/pamm.202300172}, eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202300172}, interhash = {3e96b44541fc920eec4f3ff9a1cc128f}, intrahash = {4a4317091d10643291a87a93e40f985d}, journal = {PAMM}, keywords = {inm journal project_harsch}, pages = {e202300172}, timestamp = {2024-02-29T16:24:17.000+0100}, title = {Nonunit quaternion parametrization of a Petrov--Galerkin Cosserat rod finite element}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.202300172}, year = 2023 }