An equivalent stress for the influence of multiaxial stress on the magnetic behavior

A main limitation of most models describing the effect of stress on the magnetic behavior is that they are restricted to uniaxial—tensile or compressive—stress. An idea to overcome this strong limitation is to define a fictive uniaxial stress, the equivalent stress that would change the magnetic behavior in a similar manner than a multiaxial one. A new definition of such an equivalent stress is proposed based on an equivalence in terms of magnetoelastic energy. This equivalent stress is compared with former proposals and validated using experimental results carried out under biaxial mechanical loading.