Title: A regressor-based hysteresis formulation for the magnetic characterisation of low carbon steels

Abstract: In this work, two different parametric hysteresis models, the Jiles-Atherton model and the Mel'gui relation, have been combined to form a more general hysteresis operator, suitable for the description of families of experimental B(H) curves obtained for low carbon (LC) steel specimens after isothermal annealing at different temperatures and times. As it has been demonstrated in a number of previous studies, characteristic values of steel hysteresis curves can be used as very efficient identifiers for the monitoring of the different metallurgical transformations that take place during the annealing, such as recovery and recrystallisation processes. It is thus important from a practical point to be able to reproduce the experimental curves obtained under different conditions, as precisely as possible, in order to proceed to the samples characterisation. Hybridisation of the two aforementioned models demonstrated satisfactory results for the reproduction of all considered curves obtained under the different considered annealing conditions.