2012/12/20 by Jens Krause, Krause, Jens
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Electric Motor Design and Analysis #FOS: Physical sciences #Magnetic Properties and Applications #Mathematical Physics (math-ph) #Superconducting Materials and Applications #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1212.5163
arxiv created 2012/12/20 · openalex publication_date 2012/12/20 · arxiv updated 2012/12/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
To model ferromagnetic material in finite element analysis a correct description of the constitutive relationship (BH-law) must be found from measured data. This article proposes to use the energy density function as a centrepiece. Using this function, which turns out to be a convex function of the flux density, guarantees energy conservative modelling. The magnetic field strength can be seen as a derivative with respect to the flux density. Especially for anisotropic materials (from lamination and/or grain orientation) this method has advantages. Strictly speaking this method is only valid for anhysteretic and thermodynamically stable material.