Abstract Nanoparticles significantly reinforce rubber and enhance nonlinear rheological behaviors while the underlining mechanisms are not yet clear. Herein a time-concentration superposition (TCS) principle is employed for constructing master curves of high-frequency linear rheology of hydrophobic silica filled natural rubber compounds with reference to the matrix. The effect of dynamics retardation of the matrix disclosed by the TCS principle is explained by the time-dependent diffusion double reptation model that predicts linear rheology well covers the TCS mater curves in the nonterminal region. With aid of the convective constrain release model, the Payne effect of the compounds is shown to originate mainly from the filler-promoted disentanglement of chains in the matrix whose local strain amplitude is amplified by the filler. Furthermore, the filler is shown to be able to enhance both the elastic and viscous nonlinearities of compounds under large strain amplitudes.

中文翻译：

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疏水性二氧化硅填充天然橡胶纳米复合材料的补强和佩恩效应

摘要 纳米粒子显着增强橡胶并增强非线性流变行为，但其主要机制尚不清楚。本文采用时间-浓度叠加 (TCS) 原理构建疏水性二氧化硅填充天然橡胶化合物的高频线性流变学主曲线，参考基体。TCS 原理公开的基质动力学延迟的影响由时间相关扩散双蠕动模型解释，该模型预测线性流变学，很好地覆盖了非末端区域的 TCS 基质曲线。在对流约束释放模型的帮助下，化合物的佩恩效应主要源自填料促进的基体中链的解缠结，其局部应变幅度被填料放大。此外，