Magneto-elasticity on the disk

Autori

DOI:

https://doi.org/10.1478/AAPP.982A1

Parole chiave:

magnetic field, elastic body, magneto-elastic energy, functional minimisation

Abstract

A model problem of magneto-elastic body is considered. Specifically, the case of a two dimensional circular disk is studied. The functional which represents the magneto-elastic energy is introduced. Then, the minimisation problem, referring to the simplified two-dimensional model under investigation, is analysed. The existence of a minimiser is proved and its dependence on the eigenvalues of the problem is investigated. A bifurcation result is obtained corresponding to special values of the parameters.

Biografie autore

  • Sandra Carillo, Università degli Studi di Roma "La Sapienza"
    Dipartimento di Scienze di Base e Applicate per l'Ingegneria
  • Giorgio Vergara Caffarelli, Università degli Studi di Roma "La Sapienza"
    Dipartimento di Scienze di Base e Applicate per l'Ingegneria

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Pubblicato

2020-07-30

Fascicolo

V. 98 N. 2 (2020)

Sezione

Articoli

Licenza

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