NUMERICAL REPRESENTATION FOR ANISOTROPIC MATERIALS BASED ON COENERGY MODELING

The aim of this paper is to propose a numerical model of the magnetic behavior law of soft materials based on the equivalence between the ve ctorial B(H) relationship and a compact representation using the coene rgy density w' as a function of the magnetic field H. The experimental data needed are the B(H) curves in the rolling and transverse directi ons (respectively x and y). The anisotropic behavior of the sheet is t aken into account by a proper modeling of the contours of equal coener gy over the Hx-Hy plan. Then the curves along any direction are derive d from the coenergy density. This model is built to reproduce the deco upling of the magnetization processes at low field as well as the emer gence of the difficult direction at 54.7-degrees at higher fields, whi ch is a typical behavior of grain-oriented silicon steel sheets. This model has been implemented and tested with experimental data for Goss textured sheets. The B(H) curves in various directions are computed wi th an error less than 5% over the whole range of magnetization.