An ellipsoidal void model for simulating ductile fracture behavior

An ellipsoidal void model, which is based on a parallelogrammic void model, is proposed for simulating ductile fracture behavior. It is used to analyze ductile fracture behavior in three plastic deformation modes: plane strain tension, uniaxial tension, and simple shear. The relationship between the fracture strain and the initial void volume fraction in uniaxial tension calculated using the void model agrees with that calculated using a finite-element void cell and agrees reasonably well with experimentally determined relationships in previous studies. For a specified initial void volume fraction, plane strain tension and simple shear respectively have the smallest and largest nominal fracture strains of the three plastic deformation modes.

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► An ellipsoidal void model is proposed.
► Fracture strain for uniaxial tension agrees with finite-element void cell’s value.
► Fracture strain for uniaxial tension agrees reasonably well with experimental value.
► For simple shear, fracture strain is calculated.