Abstract：The constitutive model of carbon black filled rubber materials is investigated in this paper. Taking into account the interaction between a single chain with the surrounding molecules network and carbon black particles of rubber reinforcement, a modified 3-chain model is proposed. The interactions and constraints between molecular chains are described by Edward’s tube model and the effects of carbon black content are considered by strain amplification factor. Based on this model, using the theory of network alteration, a new constitutive model for the Mullins effect is presented. Comparing with experimental data, the modified 3-chain model is more suitable for characterization of the mechanical properties of unfilled rubber with different deformation modes and the uniaxial tension mechanical behavior of Carbon black particles filled rubber material, moreover, the proposed model of Mullins has a good description of Mullins effect.
2015, Vol. 36 
