“…The present study aims at extending the current available numerical and analytical homogenization results for particle reinforced and porous nonlinear elastic composites to larger volume fractions (as large as 55vol%). We note that large volume fractions of inclusions have actual material applications such as propellants (de Francqueville et al, 2021), cermets (Bele and Deshpande, 2015;Pickering et al, 2016;Tarantino et al, 2016), muscles (Spyrou et al, 2017(Spyrou et al, , 2019 and closed-cell foams (see for instance (Hooshmand-Ahoor et al, 2022)). For our numerical simulations, we generate cubic unit cells with randomly distributed monodis-Figure 1: Maximum effective nominal strain reached in finite element (FE) simulations for uniaxial tensile loading as a function of the particle volume fraction (Brassart et al, 2009;Lopez-Pamies et al, 2013;Jiménez and Pellegrino, 2012;Bouchart et al, 2008;Guo et al, 2007;DeBotton et al, 2006;Yang and Xu, 2009;Khisaeva and Ostoja-Starzewski, 2006;Chi et al, 2015;Meng and Wang, 2015;Leonard et al, 2020;Goudarzi et al, 2015;Guo et al, 2014;Jiménez, 2016;Moraleda et al, 2009).…”