中文摘要：

论文探讨了炭黑颗粒填充橡胶材料的本构模型.考虑到橡胶单个分子链与周围分子网络的约束作用和炭黑颗粒对橡胶的补强作用,提出了一种修正三链模型,用Edwards管模型描述分子链之间的相互作用和约束,采用应变放大因子来考虑炭黑含量的影响.并在修正三链模型的基础上,利用橡胶分子网络重构理论,提出了一种适合表征橡胶Mullins现象的本构模型.通过与实验数据比较分析,修正三链模型可较准确地表征未填充橡胶材料不同变形模式的力学性能和炭黑颗粒填充橡胶材料的单向拉伸力学行为,Mullins模型也可较好地描述橡胶材料的Mullins现象.

英文摘要：

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,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 on them are considered by strain amplification factor.Based on this model,using the theory of network alteration,a new constitutive model considering 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 the Mullins effect.