The element deletion technique is one of the methods used to propagate the crack within the finite elements, in addition to the node separation, extended finite elements, or meshless methods. Such a ductile fracture can be based on phenomenological or empirical criteria calibrated from a set of fracture tests that exhibit various stress states to be formulated in a multiaxial way and, therefore, to be versatile. The presented experimental campaign conducted on an aluminium alloy covered the uniaxial tension with various notches, torsion, plane strain tension, and uniaxial compression of the specimen with a uniquely designed geometry. Then, the two tests not covered within the calibration stage were simulated to see the predictability, employing the Lode and pressure dependent yield criterion. Qualitative and quantitative comparisons were conducted for the three material models coupled within the framework of continuum damage mechanics based on fracture surfaces and force responses, respectively.