Existence of energy minimizers for magnetostrictive materials

Piotr Rybka, Mitchell Luskin

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

The existence of a deformation and magnetization minimizing the magnetostrictive free energy is given. Mathematical challenges are presented by a free energy that includes elastic contributions defined in the reference configuration and magnetic contributions defined in the spatial frame. The one-to-one a.e. and orientation-preserving property of the deformation is demonstrated, and the satisfaction of the nonconvex saturation constraint for the magnetization is proven.

Original languageEnglish (US)
Pages (from-to)2004-2019
Number of pages16
JournalSIAM Journal on Mathematical Analysis
Volume36
Issue number6
DOIs
StatePublished - 2005

Keywords

  • Calculus of variations
  • Magnetostriction
  • Micromagnetics

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