We minimize elastic energies on framed curves which penalize both curvature and torsion. We also discuss critical points using the infinite dimensional version of the Lagrange multipliers’ method. Finally, some examples arising from the applications are discussed and also numerical experiments are presented
Bevilacqua, G., Lussardi, L., Marzocchi, A., Variational analysis of inextensible elastic curves, <<PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A>>, 2022; 478 (2260): 000-012. [doi:10.1098/rspa.2021.0741] [https://hdl.handle.net/10807/204978]
Variational analysis of inextensible elastic curves
Marzocchi, Alfredo
2022
Abstract
We minimize elastic energies on framed curves which penalize both curvature and torsion. We also discuss critical points using the infinite dimensional version of the Lagrange multipliers’ method. Finally, some examples arising from the applications are discussed and also numerical experiments are presented
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