3 papers
math-ph2026
On the synthesis of complete two-dimensional second-gradient continua: Tri-pantographic fabrics
Casey Rodriguez, Emilio Barchiesi, Simon R. Eugster +2
We introduce a notion of completeness for two-dimensional second-gradient elastic continua and propose a microstructural route toward its synthesis. A continuum is said to be compl…
math.NA2026
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…
math.NA2026
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…