In order to impose an extremely large strain on the bulk metal without changing the shape, many SPD processes have been developed. This paper present the numerical study of severe plastic deformation by multi-directional shearing in order to determine the materials behaviour in the case of complex solicitations conditions and estimate the magnitude of the final strains obtained. Two hardening laws are considered for describing the material behaviuor: Swift and Ludwick law. The comparison of the numerical results with experimental values for higher levels of strain shows that the Ludwick model presents a better agreement with experimental data. The presented paper gives a method and a numerical tool to study the severe plastic deformation of the materials and to predict the level of the obtained plastic strain.