16 citations · 53 across the 9 of their papers we have counts for
3 papers · 1 filter
Conservation, convergence, and computation for evolving heterogeneous elastic wires
Anna Dall'Acqua, Gaspard Jankowiak, Leonie Langer +1
The elastic energy of a bending-resistant interface depends both on its geometry and its material composition. We consider such a heterogeneous interface in the plane, modeled by a…
Curvature-dependent Eulerian interfaces in elastic solids
Katharina Brazda, Martin Kružík, Fabian Rupp +1
We propose a sharp-interface model for a hyperelastic material consisting of two phases. In this model, phase interfaces are treated in the deformed configuration, resulting in a f…
Short closed geodesics and the Willmore energy
Marius Müller, Fabian Rupp, Christian Scharrer
We prove a lower bound on the length of closed geodesics for spheres with Willmore energy below . The energy threshold is optimal and the inequality cannot be extended to surfa…