Hysteresis modeling based on similarity

A principle of constructing hysteresis models with stable minor loops is proposed. It has been found that a modeled reversal curve of any order can be obtained by copying (transplanting) the segment of the first-order curve that has the same overall dimensions and is the nearest to the modeled curve in the M- (or B-) direction. It is discussed how models with different grades of accuracy can be implemented within the framework of the approach. For the case when experimental first-order curves are absent, a procedure for their generation is suggested. The modeling is in remarkably good agreement with experimental data.