Please login to view abstract download link
A non-local extension of the shear modified Gurson model for porous plasticity, capable of preventing pathological strain localization and suitable for predicting crack initiation and propagation under both shearing and tension, is proposed and investigated. In the extended model the progression of shear failure is separated from that of flat dimple rupture by the assumption that these failure mechanisms are associated with different characteristic length scales, a deviatoric (Rs) and a dilatational (Rh) length scale, respectively. The two length scales are introduced by non-local treatment of the rate of change of the void volume porosity by splitting it into a deviatoric plastic strain and a volumetric plastic strain driven part, respectively. An integral approach is utilized for this purpose in which the integration is carried out on either the material (Lagrangian Ω_0) or the spatial (Eulerian Ω) configuration, respectively. The latter is motivated by the observation that ductile failure typically is preceded by finite deformation. In addition, a strain driven model for void nucleation is included, as it will be shown that void nucleation, the shear softening parameter [1] and the ratio between length scales, Rs/ Rh, strongly influences the appearance of the classic cup-cone failure and shear band formation leading to slant fracture in tension-dominated geometries. A set of numerical analyses is presented which brings out the effects of these length scales on the development of e.g., cup-cone and slant fracture. Guided by the outcome of the numerical study, a series of experiments has been designed and carried out for the calibration of the two length parameters (Rs, Rh), the parameters in the nucleation model and other parameters in the model. The calibrated model is then applied on a discriminating fracture test for validation purposes.