Journal of Materials Research and Technology Journal of Materials Research and Technology
J Mater Res Technol 2018;7:103-17 DOI: 10.1016/j.jmrt.2017.01.002
Original Article
Effective yield surface of porous media with random overlapping identical spherical voids
Abdellah Bouriha, Wahid Kaddouria, Toufik Kanita,b,, , Salah Madania, Abdellatif Imadb
a Laboratoire de Mécanique des Structures & Matériaux (LMSM), Université Batna 2, Algeria
b Laboratoire de Mécanique de Lille (LML), Université Lille Sciences & Technologies, France
Received 15 September 2016, Accepted 19 January 2017
Abstract

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.

Keywords
Porous media, Random overlapping spherical voids, Computational homogenization, Macroscopic yield surface, Representativeness.
J Mater Res Technol 2018;7:103-17 DOI: 10.1016/j.jmrt.2017.01.002