Effective yield surface of porous media with random overlapping identical spherical voids

The present paper concerns a computational study of a three-dimensional (3D) unit cells with identical spherical voids in a von Mises matrix. The objective is to estimate the effective plastic flow surface of 3D microstructures. The work originality is to deal with identical spherical overlapping voids, covering a wide range of stress triaxiality ratios. The effective plastic flow surface is computed for nine distinct loadings on four distinct microstructures. The result indicates that the classical Gurson-Tvergaard-Needleman (GTN) model obtained using the Fritzen et al. [40] parameters, matches with our numerical simulations.