Homogenization of magnetoelastic heterogeneous solid bodies based on micropolar magnetoelasticity Articles uri icon

publication date

  • November 2022

start page

  • 1641

end page

  • 1668


  • 6


  • 34

International Standard Serial Number (ISSN)

  • 0935-1175

Electronic International Standard Serial Number (EISSN)

  • 1432-0959


  • A variational-based homogenization method for magnetoelastic composite materials is established in a small strains framework. The existence of a non-symmetrical stress tensor motivates the elaboration of a homogenized Cosserat type magnetoelastic effective medium at the macroscale. Generic expressions of the effective magnetic and elastic properties are derived, showing the existence of couplings between the elastic and magnetic behaviors at the macrolevel. Applications of the developed homogenization methodology are done for periodic heterogeneous media prone to local bending at the scale of a few unit cells. The validation of the homogenized medium is performed by comparing its predictions versus those of fully resolved computations. The influence of the magnetic field intensity and orientation on the strength of micropolar effects is assessed. The proposed formulation opens new possibilities for the efficient design of multifunctional metamaterials via computational modelling.


  • Industrial Engineering
  • Materials science and engineering
  • Mechanical Engineering
  • Physics


  • magnetoelasticity; homogenization; effective properties; composites; variational formulations; finite elements