Virtual tests of hardening porous metallic materials based on computational homogenization

Resumo

This study investigates the apparent mechanical strength of porous metallic materials by performing virtual tests on three-dimensional representative volume elements (RVEs). A key distinction from previous work in literature is the consideration of a hardening metallic matrix, modeled using a bounded Voce-type isotropic hardening law combined with a rate-independent $J_2$ isotropic hardening plasticity criterion. Each RVE features randomly distributed, non-overlapping spherical voids embedded within an elastoplastic matrix. Distinct macroscopic stress states are obtained by applying mixed boundary conditions and manipulating specific loading parameters. The macroscopic stress, derived as the average of its microscopic counterpart within the RVE, reflects a quasi-asymptotic macroscopic response. The analyses explore the influence of varying porosity levels and isotropic hardening factors, demonstrating their impact on the apparent/macroscopic yield or limit loading locus.