The Barkhausen effect (or Barkhausen noise)[1], discovered in 1919, was initially identified as the revealing of irreversible and discontinuous changes of magnetisation induced by an external magnetic field[2]. The interest of Barkhausen noise as a non destructive testing technique of magnetic materials is due to the interaction between the magnetic microstructure (magnetic domains, Bloch wall motion dynamic), microstructural state and stress state of the material [3,4,5,6].