Estimation of the Effective Magnetic Properties of Two-Phase Steels

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We investigate the predictive performance of specific analytical and numerical methods to determine the effective magnetic properties of two-phase steels at the macroscale. We utilize various mixture rules reported in the literature for the former, some of which correspond to rigorous bounds, e.g., Voigt (arithmetic) and Reuss (harmonic) averages. For the latter, we employ asymptotic homogenization together with the finite element method (FEM) and periodic boundary conditions (PBC). The voxel-based discretization of the representative volume element is conducted with digital image processing on the existing micrographs of DP600-grade steel. We show that unlike the considered isotropic mixture rules, which use only the phase volume fraction as the statistical microstructural descriptor, finite element method-based first-order asymptotic homogenization allows prediction of both phase content and directional dependence in the magnetic permeability by permitting an accurate consideration of the underlying phase geometry.

Original languageEnglish
Title of host publicationAchievements and Trends in Material Forming- Peer-reviewed extended papers selected from the 25th International Conference on Material Forming, ESAFORM 2022
EditorsGabriela Vincze, Frédéric Barlat
PublisherTrans Tech Publications Ltd
Number of pages10
ISBN (Print)9783035717594
Publication statusPublished - Jul 2022
Event25th International Conference on Friction and Wear in Forming Processes, ESAFORM 2022: ESAFORM 2022, 25th International Conference on Material Forming - Altice Forum Braga, Braga, Portugal
Duration: 27 Apr 202229 Apr 2022
Conference number: 25

Publication series

NameKey Engineering Materials
Volume926 KEM
ISSN (Print)1013-9826
ISSN (Electronic)1662-9795


Seminar25th International Conference on Friction and Wear in Forming Processes, ESAFORM 2022
Abbreviated titleESAFORM 2022
Internet address


  • Asymptotic Homogenization
  • Electromagnetic Properties
  • Metal Forming
  • Two-Phase Steels


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