Reda, HilalMawassy, NaghamAranda Ruiz, JosuéGarcía González, DanielGanghoffer, J. F.2023-07-212023-07-212022-11Reda, H., Mawassy, N., Aranda-Ruiz, J., Garcia-Gonzalez, D., & Ganghoffer, J. F. (2022). Homogenization of magnetoelastic heterogeneous solid bodies based on micropolar magnetoelasticity. Continuum Mechanics and Thermodynamics, 34(6), 1641-1668.0935-1175https://hdl.handle.net/10016/37946A 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.28eng© The Author(s).MagnetoelasticityHomogenizationEffective propertiesCompositesVariational formulationsFinite elementsresearch articleFísicaIngeniería IndustrialIngeniería MecánicaMaterialeshttps://doi.org/10.1007/s00161-022-01153-0open access164161668Continuum Mechanics and Thermodynamics34AR/0000031241