Energetical and multiscale approaches for the definition of an equivalent stress for magneto-elastic couplings

► Classical magneto-elastic models restricted to uniaxial stress. ► Stress demonstrated multiaxial in most of industrial applications. ► Proposals of deviatoric and generalized equivalent stresses - multidomain modeling. ► Experimental validation using iron-cobalt sheet submitted to biaxial loading. ► Generalization of former proposals and modeling of previous results.