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Disordered assemblies with maximum packing fraction are studied by discreteelement numerical simulation for monodisperse or bidisperse sphericalparticles, the diameter ratio being set at three. A maximum packing fractionvalue corresponds to an equilibrium state under isotropic loading of rigidfrictionless particles. A statistical study of size effects enables one toevaluate, in the limit of large systems, the maximum packing fractions of bothmonodisperse assemblies, for which the conventional value 0.639 is retrieved,and bidisperse ones, for two distinct values of the coarse particle volumefraction. An enduring initial assembling step in which agitated grains interactthrough collisions induces an increase in the final packing fraction due tocrystalline order nucleation for a monodisperse system or to a gradualsegregation for a binary mixture. Albeit slow and moderate in a number ofpractical situations, this effect leads to a definition of the random closepacking state, as the one obtained with frictionless rigid grains under anisotropic pressure in the limit of fast assembling processes. A few potentialextensions to this preliminary study are suggested.

\'Etats de compacit\'e maximale pour les m\'elanges binaires de grains sph\'eriques : \'etude par simulation num\'erique