Temperature, stress, and rate dependent numerical implementation of magnetization processes in phenomenological models

In this article we present advances in the numerical analysis of temperature, stress, and rate dependent magnetization processes that we have recently implemented in the framework of phenomenological simulator for hysteretic modeling-HysterSoft. Our implementation allows one to make a detailed comparison of various models of hysteresis and to establish the limits of applicability of each model. Special emphasis is given to presenting the numerical algorithms for the description of the magnetization processes (e.g. rate dependent processes) in a "universal" way which makes them suitable for the implementation of our algorithms in the framework of any model of hysteresis, such as the Preisach, Energetic, and Jiles-Atherton models.