Isotropic vector hysteresis represented by superposition of stop hysteron models

The present paper first shows that the scalar stop hysteron model has the p roperty of equal vertical chords for back-and-forth input variations of the same amplitude. This property leads to an identification method of the sca lar model. Secondly, identification methods are developed for the 3-D and 2 -D isotropic vector models that are constructed by the superposition of sca lar stop hysteron models. Numerical simulations show that these methods ide ntify the scalar and vector models satisfactorily.