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

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	Inglese
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

Accesso al documento

10.1007/s10659-020-09763-y

Altri file e collegamenti

Link a IRIS PubliCatt

Cita questo

@article{d7af15b7e8a94ceb8243e35aeebea36f,

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",

pages = "1--10",

journal = "Journal of Elasticity",

issn = "0374-3535",

publisher = "Springer Netherlands",

}

TY - JOUR

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

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo