Numerical implementation of a recent improved Gurson-type model and application to ductile fracture

A micromechanics-based modification of the Gurson criterion by using Eshelby-like velocity fields

“…Remarkably, this expression is exactly the one heuristically proposed by [14]. It must be emphasized that the alternative criterion (B.10), still preserve the exact solution for purely hydrostatic loading, i.e Σ m = − 2σ 0 3 ln(f ).…”

“…, the symmetric part of the velocity gradient associated to v E . The components of the d E are given by: (14) and can be put on the form:…”

“…Note also that this effect has also be investigated in recent numerical studies by Thore et al (2011). However, since one major advantage of the limit analysis approach over the latter is that it 1 For completeness, mention must be made of [14] and of several extensions of the Gurson model accounting for voids shape effects (see for instance [7], [8], [9], [6], [22], [1], [19]) 2 A similar derivation has been done by Suquet [29] for cylindrical voids.…”

Parameter identification of a mechanical ductile damage using Artificial Neural Networks in sheet metal forming

“…Also the importance of the coupling between the damage and plasticity in numerical simulation has proved by Guo et al [4]. In same context, Lin et al [5] proposed an improvement in the Gurson model in order to will allow investigating in future other mechanical structures made up of ductile porous media. The pioneering work elaborated by Kachanov in 1958 [6], started the subject that is now known as Continuum Damage Mechanics (CDM).…”

Micromechanical modeling of effective behavior of anisotropic porous ductile materials

“…Since this field is not the exact one to the referred RVE problem, this approach also constitutes an upper bound. This model was implemented into a FEM code by Lin et al (2010) so that notched and round tensile bars could be modeled in detail. Their results showed the improvement provided by this new trial velocity field.…”