Modeling of the morphic effect using a 1st-order transitional magneto-elastic energy

The study takes place in the context of magneto-elastic coupling. A new magnetoelastic energy formulation is proposed at the magnetic domain scale in order to account for the non-linear and non-monotonous effect of stress on magnetization and magnetostriction. The model uses 1st order cubic/isotropic invariants and a transition function taking an equivalent stress as argument.