The Microstructural Model of the Ferromagnetic Material Behavior in an External Magnetic Field

In this paper, the behavior of a ferromagnetic material is considered in framework microstructural modeling. The equations describing such magnetic field, are constructed based on minimization total energy with account limitations imposed spontaneous magnetization vector and scalar potential. This conditional extremum problem reduced to unconditional using Lagrange multiplier. A variational (weak) formulation written down linearization obtained carried out. Based derived relations solution two-dimensional unit cell (a grain polycrystal or single crystal material) developed finite element method. appearance domain walls demonstrated, their thickness determined, history movement collision described. graphs distributions domains external field directed at different angles anisotropy axis curves for macrospecimen plotted. results present paper (the wall, formation 360-degree wall) agreement ones available current literature.