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Van der waals network theory

The theory assumes that carbon black particles inside the carbon black aggregates are arranged in parallel along the tensile direction. The particle surface is completely covered by polymer, and there are certain distributions on lengths of linking aggregates and aggregate chains. As the basic reinforcement together with the carbon black aggregates and polymer connecting the aggregates, the total stress is composed by two parts: the stress of the unfilled rubber network and the stress of carbon black aggregates network.

According to the theory, deformation of absorbing rubber among the filler particles far outweighs macroscopic deformation when rubber becomes deformed. Thus, the filler particle aggregates can produce interior slip, and slip of the filler particles is the plastic deformation and the reason of Mullins effect produced by curing glue.

The enhancement of rafter rubber is from the resistance of rubber particle separation. The enhanced effects of rubber are related to thickness distributions of absorbing rubber. The interaction among the particles is Van der waals force, and binding force is more powerful between particles and polymer matrix. The critical stress which makes particles separated is Van der waals stress among the particles.
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