Enabling accurate simulations of the nonlinear magnetic hysteresis behavior in ferromagnetic materials

In this work, a stable node - based smoothed finite - element method algorithm is developed to address the lower accurate issues in the simulation of the magnetic hysteresis behavior in ferromagnetic materials, in which the inverse vector Jiles - Atherton model is intimately coupled. The improvement of the accuracy for hysteresis issues is achieved by linking the stable node - based smoothed finite - element method in the framework of the Newton - Raphson iteration and the Jiles - Atherton model. The optimal relaxation coefficient method is introduced to address the natural strong nonlinearity of the Jiles - Atherton model and to ensure the convergence of the model. The algorithm is validated against the experimental results, and several examples are presented for simulations of the ferromagnetic hysteresis issues to illustrate both the accuracy and expandability in the practical scenarios of ferromagnetic materials.