Scalar permeability microstructure model considering crystallographic texture and grain size for magnetic evaluation of anisotropy in steel

This paper presents a finite element microstructure model specifically designed to predict scalar anisotropic magnetic permeability. The model integrates crystallographic texture and grain size considerations within specific microstructures, offering a significant advancement in the analysis of scalar permeability and magnetic anisotropy. The model’s precision and robustness have been validated with two types of steel: commercial-grade grain-oriented electrical steel and industrially recrystallised Interstitial-Free steel. Validation was accomplished through comparative magnetic measurements using a modified rotational single sheet tester under varying magnetic field strengths. Additionally, the model employs a generalised power law approach to account for grain size effects, adapting different power laws as necessary. This aspect of the model has been corroborated with experimental data from the literature.