Application of a Della Torre-Oti-Kadar stress-dependent Preisach model through a numerical model

Many magnetomechanical models fit the data sets, they were originally developed from very well but are not transportable to different data sets or geometries. In order to test the portability of a previously developed Della Torre-Oti-Kadar (DOK) stress-dependent Preisach model for high strength steels, a numerical model was implemented to replicate data taken on a non-trivial geometry made of the same material. The data used for comparison were measured previously by the National Institute of Standards and Technology on a toroidal-like sample which allowed for the simultaneous application of longitudinal stresses and transverse magnetic fields. The geometry was modeled in a finite element modeling package and coupled with a DOK model via material parameters. A coupling framework was developed and B-H loops were modeled and compared to the NIST data available with some agreement. In the future, this modeling approach will be extended to incorporate more complex field and stress interactions and applied to additional data sets as available.