“…The most important problem connected with modeling the magnetostrictive hysteresis loops λ ( B ) and λ ( H ) is the fact, in the case of some soft magnetic materials, that local maxima occurs on these dependences. This local maxima was observed in experimental results [12,14,25,26,27]; however, the quantitative model of such a magnetostrictive hysteresis loop was never presented before. Lack of such a model is the significant barrier for understanding the physical background of magneto-mechanical effects, as well as for the practical description of the behavior of ferromagnetic materials required for, for example, the development of transformers or nondestructive testing of elements made of constructional steels.…”