Asymptotic derivation of a linear plate model for soft ferromagnetic materials

Giuseppe Geymonat; Françoise Krasucki; Michele Serpilli

doi:10.1007/s11401-018-0077-5

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Asymptotic derivation of a linear plate model for soft ferromagnetic materials

Journal article

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Asymptotic derivation of a linear plate model for soft ferromagnetic materials

Giuseppe Geymonat, Françoise Krasucki and Michele Serpilli

Chinese Annals of Mathematics - Series B, Vol.39(3), pp.451-460

02/05/2018

DOI: https://doi.org/10.1007/s11401-018-0077-5

Abstract

Magnetoelasticity

Asymptotic methods

Plates

2010 MSC : 74F15, 74K20

We apply the asymptotic expansion method by P.G. Ciarlet to obtain a Kirchhoff-Love-type plate model for a linear soft ferromagnetic material. We also give a mathematical justification of the obtained model by means of a strong convergence result .

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Title: Asymptotic derivation of a linear plate model for soft ferromagnetic materials
Creators - without role: Giuseppe Geymonat - Laboratoire Mécanique des Solides
Françoise Krasucki - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Michele Serpilli - Marche Polytechnic University
Publication Details: Chinese Annals of Mathematics - Series B, Vol.39(3), pp.451-460
Identifiers: 9941688109311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-01817337