“…Previously three-dimensional numerical representations and mechanical simulations of such composites with interfacial damage dealt mostly with ductile matrices moderately filled with spherical fillers (see for instance Llorca and Segurado, 2004;Segurado and Llorca, 2005 among others), and fewer studies account for more realistic polyhedral fillers (Williams et al, 2012;Weng et al, 2019). Numerical studies considering composites with an hyperelastic matrix for which, unlike ductile matrix, the softening is due to the damage at the matrix/filler only and a very large stiffness contrast exists between the constitutive phases, are mostly two-dimensional (Moraleda et al, 2009;Toulemonde et al, 2016;Zhang et al, 2018;Li et al, 2018) with little three-dimensional contributions (Gilormini et al, 2017), all considering spherical particles. The most common generation process for obtaining microstructures filled with irregular polyhedra is based on random sequential additions (Widom, 1966) of identical (B€ ohm and Rasool, 2016;Drach et al, 2016) or different (Lavergne et al, 2015;Sheng et al, 2016) polyhedra.…”