Dimensional Reduction of the Kirchhoff-Plateau Problem

Giulia Bevilacqua; Luca Lussardi; Alfredo Marzocchi

doi:10.1007/s10659-020-09763-y

Dimensional Reduction of the Kirchhoff-Plateau Problem

Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi

Polytechnic University of Milan

Risultato della ricerca: Contributo in rivista › Articolo in rivista

Abstract

We obtain the minimal energy solution of the Plateau problem with elastic boundary as a variational limit of the minima of the Kirchhoff-Plateau problems with a rod boundary when the cross-section of the rod vanishes. The limit boundary is a framed curve that can sustain bending and twisting.

Lingua originale	English
pagine (da-a)	1-10
Numero di pagine	10
Rivista	Journal of Elasticity
DOI	https://doi.org/10.1007/s10659-020-09763-y
Stato di pubblicazione	Pubblicato - 2020

Keywords

Dimensional reduction
Kirchhoff-Plateau problem

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10.1007/s10659-020-09763-y

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title = "Dimensional Reduction of the Kirchhoff-Plateau Problem",

abstract = "We obtain the minimal energy solution of the Plateau problem with elastic boundary as a variational limit of the minima of the Kirchhoff-Plateau problems with a rod boundary when the cross-section of the rod vanishes. The limit boundary is a framed curve that can sustain bending and twisting.",

keywords = "Dimensional reduction, Kirchhoff-Plateau problem, Dimensional reduction, Kirchhoff-Plateau problem",

author = "Giulia Bevilacqua and Luca Lussardi and Alfredo Marzocchi",

year = "2020",

doi = "10.1007/s10659-020-09763-y",

language = "English",

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journal = "Journal of Elasticity",

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T1 - Dimensional Reduction of the Kirchhoff-Plateau Problem

AU - Bevilacqua, Giulia

AU - Lussardi, Luca

AU - Marzocchi, Alfredo

PY - 2020

Y1 - 2020

N2 - We obtain the minimal energy solution of the Plateau problem with elastic boundary as a variational limit of the minima of the Kirchhoff-Plateau problems with a rod boundary when the cross-section of the rod vanishes. The limit boundary is a framed curve that can sustain bending and twisting.

AB - We obtain the minimal energy solution of the Plateau problem with elastic boundary as a variational limit of the minima of the Kirchhoff-Plateau problems with a rod boundary when the cross-section of the rod vanishes. The limit boundary is a framed curve that can sustain bending and twisting.

KW - Dimensional reduction

KW - Kirchhoff-Plateau problem

KW - Dimensional reduction

KW - Kirchhoff-Plateau problem

UR - http://hdl.handle.net/10807/154207

U2 - 10.1007/s10659-020-09763-y

DO - 10.1007/s10659-020-09763-y

M3 - Article

SN - 0374-3535

SP - 1

EP - 10

JO - Journal of Elasticity

JF - Journal of Elasticity

ER -

Dimensional Reduction of the Kirchhoff-Plateau Problem

Abstract

Keywords

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