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A Real-Space Phase Field Model for Domain Evolution of Ferromagnetic Materials

J.Wang  J.W.Zhang  
【摘要】:正Ferromagnetic materials have been an important type of smart materials and are widely utilized in different magnetic devices due to their distinguished magneto-elastic coupling properties. The magneto-elastic coupling properties of ferromagnetic materials are dependent on the magnetic domain structures.The stable domain structures are determined by the competition between different energies of the materials,including the magnetocrystalline anisotropy energy,exchange energy (domain wall energy),elastic energy and magnetic energy.To study the domain structures of ferromagnetic materials,different phase field models have been developed in the literature[1].Most phase-field models in the literature employ the periodic boundary conditions,and thus the results are only valid when the simulation system size is much smaller than the actual sample size. In the present work,a real-space phase field model based on the time-dependent Ginzburg-Landau (TDGL) equation is developed to predict the domain evolution of ferromagnetic materials.The phase field model stems from a thermodynamic theory of ferromagnetic materials which employs the strain and magnetization as independent variables.The phase field equations are shown to reduce to the common micromagnetic model where the magnetostriction is absent and the magnitude of magnetization is constant.The strain and magnetization in the equilibrium state are obtained simultaneously by solving the phase field equations via a nonlinear finite element method.The finite-element based phase field model is applicable for the domain evolution of ferromagnetic materials with arbitrary geometries and boundary conditions.The evolution of magnetization domains in ferromagnetic thin film subjected to external stresses and magnetic fields are simulated and the magnetoelastic coupling behaviour is investigated.Phase field simulations show that the magnetization vectors form a single magnetic vortex in ferromagnetic disks and rings.The configuration and size of the simulated magnetization vortex are in agreement with the experimental observation[2],which suggests the phase field model is a powerful tool for the domain evolution of ferromagnetic materials.

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