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<p>We investigate a homogenization problem for a linearly elastic magnetic material that incorporates elastically rigid magnetic inclusions firmly bonded to the matrix. By considering a periodic arrangement of this material, we identify an effective magnetoelastic energy, obtained by homogenization when the period approaches zero. For comparison, we also briefly discuss alternative, essentially equivalent magnetic models naturally linked by a Legendre-Fenchel transform of magnetic energy density where the elastic deformation enters as a parameter.</p>

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Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月7日

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  • Raffaele Grande,
  • Stefan Krömer,
  • Martin Kružík,
  • Giuseppe Tomassetti

摘要

We investigate a homogenization problem for a linearly elastic magnetic material that incorporates elastically rigid magnetic inclusions firmly bonded to the matrix. By considering a periodic arrangement of this material, we identify an effective magnetoelastic energy, obtained by homogenization when the period approaches zero. For comparison, we also briefly discuss alternative, essentially equivalent magnetic models naturally linked by a Legendre-Fenchel transform of magnetic energy density where the elastic deformation enters as a parameter.