  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.
