Micromechanics models for finite deformation of carbon black reinforced rubber composites

In order to investigate the effects of carbon black on the hyper-elastic mechanical behaviors of rubber composites, first, by employing the quasi-static mechanical test data of carbon black reinforced rubber composites with different filling volume fractions, the finite deformation characterizing abilities of existing "deformation amplification" micromechanics models which based on homogenization method were evaluated. Then, a new "1st invariant amplification" relationship was proposed on the basis, and rational prediction results were obtained. Finally, by using the random sequential absorption algorithm, the spherical particulate filling numerical models which were approximate to the real microstructures of materials were established, and 3D numerical simulations under finite deformation situation were conducted. In order to investigate the influences of particle clustering effect, two forms which were particles regular random dispersion and agglomerate random dispersion were designed. The comparison between computational results and test data indicates that the proposed 3D micromechanics numerical modes are able to predict the finite deformation macroscopic mechanical behavior of filled rubbers to some extent, and the prediction abilities of particles agglomerate random dispersion models are better. The test results confirm the reliability of proposed models, and the proposed models provide some references to the further related research.