Shear has a significant effect on the fracture strain of several classes of metals and alloys. This effect is particularly evident with a reduced fracture strain in torsion compared with the uniaxial tensile condition. To explain this, ductile damage, and therefore the resulting fracture strain, has been proposed to depend on the stress triaxiality and the third invariant of stress deviator. Several models have been proposed in recent years to consider these effects. Recently, Bonora and Testa [1] proposed a damage model formulation, called the Plasticity Damage Self-Consistent (PDSC) model, in which the dissipation potential is expressed through the linear combination of several terms, one for each damage mechanism. In this paper, the different mechanisms responsible for ductile failure are recalled, and the formulation of the PDSC model is illustrated. Results related to its application to the case of AL 2024-T351 alloy are presented. In particular, the ability of the model to predict failure conditions in the case of non-proportional deformation processes is demonstrated through the study of fracture in tubular specimens subjected to tension-torsion and for non-proportional bi-axial compression (negative stress triaxiality). Particular emphasis is given to the model's ability to predict the transition from cup-cone to slant fracture for different stress states.