28 citations · 47 across the 6 of their papers we have counts for
5 papers · 1 filter
Mixed formulation and structure-preserving discretization of Cosserat rod dynamics in a port-Hamiltonian framework
Philipp L. Kinon, Simon R. Eugster, Peter Betsch
An energy-based modeling framework for the nonlinear dynamics of spatial Cosserat rods undergoing large displacements and rotations is proposed. The mixed formulation features inde…
A mixed Petrov-Galerkin Cosserat rod finite element formulation
Marco Herrmann, Domenico Castello, Jonas Breuling +3
This paper presents a total Lagrangian mixed Petrov-Galerkin finite element formulation that provides a computationally efficient approach for analyzing Cosserat rods that is free…
Non-unit quaternion parametrization of a Petrov-Galerkin Cosserat rod finite element
Jonas Harsch, Simon R. Eugster
The application of the Petrov-Galerkin projection method in Cosserat rod finite element formulations offers significant advantages in simplifying the expressions within the discret…
A family of total Lagrangian Petrov-Galerkin Cosserat rod finite element formulations
Simon R. Eugster, Jonas Harsch
The standard in rod finite element formulations is the Bubnov-Galerkin projection method, where the test functions arise from a consistent variation of the ansatz functions. This a…
A total Lagrangian, objective and intrinsically locking-free Petrov-Galerkin SE(3) Cosserat rod finite element formulation
Jonas Harsch, Simon Sailer, Simon R. Eugster
Based on more than three decades of rod finite element theory, this publication unifies all the successful contributions found in literature and eradicates the arising drawbacks li…