Variational analysis of inextensible elastic curves-Reference-Cited by-同舟云学术

Variational analysis of inextensible elastic curves

Published:2022-04 Issue:2260 Volume:478 Page:
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Bevilacqua G.¹²^ORCID,Lussardi L.²,Marzocchi A.¹

Affiliation:

1. Dipartimento di Matematica e Fisica ‘N. Tartaglia’, Università Cattolica del Sacro Cuore, via della Garzetta 48, I-25133 Brescia, Italy

2. Dipartimento di Scienze Matematiche ‘G.L. Lagrange’, Politecnico di Torino, c.so Duca degli Abruzzi 24, 10129 Torino, Italy

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.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2021.0741

Reference31 articles.

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