Variational analysis of inextensible elastic curves

G. Bevilacqua; L. Lussardi; Alfredo Marzocchi

doi:10.1098/rspa.2021.0741

Variational analysis of inextensible elastic curves

G. Bevilacqua, L. Lussardi, Alfredo Marzocchi

Risultato della ricerca: Contributo in rivista › Articolo in rivista

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

Lingua originale	English
pagine (da-a)	000-012
Numero di pagine	13
Rivista	PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A
Volume	478
DOI	https://doi.org/10.1098/rspa.2021.0741
Stato di pubblicazione	Pubblicato - 2022

Keywords

Elastic curves

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10.1098/rspa.2021.0741

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title = "Variational analysis of inextensible elastic curves",

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keywords = "Elastic curves, Elastic curves",

author = "G. Bevilacqua and L. Lussardi and Alfredo Marzocchi",

year = "2022",

doi = "10.1098/rspa.2021.0741",

language = "English",

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AB - 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

KW - Elastic curves

UR - http://hdl.handle.net/10807/204978

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DO - 10.1098/rspa.2021.0741

M3 - Article

SN - 1364-5021

VL - 478

SP - 0

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JO - PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A

JF - PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A

ER -

Variational analysis of inextensible elastic curves

Abstract

Keywords

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