Variational analysis of inextensible elastic curves

Variational analysis of inextensible elastic curves

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 p...

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Veröffentlicht in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2022-04, Vol.478 (2260)
Hauptverfasser: Bevilacqua, G., Lussardi, L., Marzocchi, A.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2021.0741