Abstract:Based on the hypothesis of periodic well-distributed microstructure of carbon black filled rubber composites, three-dimensional Representative Volume Elements containing multi-sphere particles randomly distributed have been generated using a new modified Random Sequential Adsorption algorithm, and the macro mechanical properties of the carbon black filled rubber composites have been studied and analyzed by the micromechanical finite element method. The research shows that the models generated by the modified Random Sequential Adsorption algorithm are more suitable for finite element discretization and the simulations can describe the reality better by the periodic boundary conditions. It’s also shown that the modulus of the rubber composite is increased considerably with the introduction of carbon black filler particles, and the effective elastic modulus of the rubber composite is increased with the increase of the particle volume fraction. By comparison, it is shown that the results of the predictions on the stress-strain behavior and the effective elastic modulus of the rubber composite made with this three-dimensional numerical model containing multi-sphere particles randomly distributed are consistent well with the experimental results, which demonstrate that this model can be used for simulation analysis of effective properties of the carbon black filler particle reinforced rubber matrix composites.