A numerical method for the simulation of ductile fracture

A.E. HUESPE; A. NEEDLEMAN; J. OLIVER; P.J. SÁNCHEZ

Paris

Conferencia; ECCM 2010. IV European Conference on Computational Mechanics; 2010

European Community on Computational Methods in Applied Mechanics (ECCOMAS)

In a recent contribution ([1]), the authors have proposed a model for the numerical simulation of ductile fracture problems. It is based on a material response characterized by a constitutive relation for a progressively cavitating elastoplastic solid, which represents the phenomenology observed in this type of fracture. An embedded displacement weak discontinuity is introduced when the condition for loss of ellipticity, in the material response, is met. The resulting localized deformation is given a specified finite thickness which introduces a length scale in the problem, providing a regularization of the postlocalization response. An important feature of this model is that the same constitutive relation is used inside the band, in the post-localization regime. Thus, the traction-opening relation across the band depends on the stress triaxiality. In that paper, the model was restricted to small geometry changes. In the present contribution, we generalize the model removing this kinematical restriction.