We present a discrete treatment of adapted framed curves, parallel transport, and holonomy, thus establishing the language for a discrete geometric model of thin flexible rods wit...
We present a continuum-based discrete model for thin threads of viscous fluid by drawing upon the Rayleigh analogy to elastic rods, demonstrating canonical coiling, folding, and ...
Miklós Bergou, Basile Audoly, Etienne Vouga, Max ...
We develop an accurate, unified treatment of elastica. Following the method of resultant-based formulation to its logical extreme, we derive a higher-order integration rule, or el...
Sebastian Martin, Peter Kaufmann, Mario Botsch, Ei...
Abstract. We present a mathematical model for a study of the mechanical properties of endovascular stents in their expanded state. The model is based on the theory of slender curve...
Josip Tambaca, M. Kosor, Suncica Canic, D. Paniagu...