In this paper, we present a simple mathematical model for one-dimensional, rate-independent, hysteresis phenomena in ferromagnetic materials. It uses the framework of non-equilibrium thermodynamics theory, which allows development of models that have a reasonable physical behaviour. The model gives a good description of physical mechanisms that contribute to the magnetization process and exhibits the majority of main properties of ferromagnetism, such as nonlinearity, first magnetization curve, hysteresis loops and presence of minor loops.
Arib et al. (Mon,) studied this question.