Homogenized constitutive equations for porous single crystals plasticity

Ductile fracture through void growth to coalescence occurs at the grain scale in numerous metallic alloys encountered engineering applications. Classical models used perform numerical simulations of ductile fracture, as Gurson–Tvergaard–Needleman model and its extensions, are relevant for case large voids compared size, which a homogenization material behavior over number grains is used. Such modeling prevents assessing effects microstructure on both crack path propagation resistance. Therefore, homogenized constitutive equations porous single crystals plasticity proposed, featuring stages, hardening shape evolution. An original implementation based coupling Newton–Raphson fixed point algorithms described. In order assess accuracy proposed well another one described recently literature, an extended database unit-cell simulation results gathered, investigating effect crystallographic orientations FCC material. Strengths weaknesses detailed with respect reference simulations, leading definition validity domain current pinpoint necessary refinements.