Abstract This work explores for the first time the inelastic fatigue process in filled rubbers using the internal state variable theory. The theory is used to qualitatively and quantitatively analyze the complex history-dependent cyclic response of filled rubbers, but also to reveal the underlying physical mechanisms. Experimental observations are reported on a styrene-butadiene rubber (SBR) containing different amounts of carbon-black and cyclically loaded under a wide range of pre-stretch levels. The effects of pre-stretch and filler content on the carbon-filled SBR history-dependent cyclic response, characterized by stress-softening and hysteresis along with dissipative heating, are examined. The intrinsic dissipation, regarded as a consequence of two types of rearrangements in the rubber-filler material system, i.e. viscoelastic and damage mechanisms, is quantified and used to propose a plausible explanation of the underlying inelastic fatigue mechanisms consistent with our experimental observations.

中文翻译：

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碳填充 SBR 中循环耗散的预拉伸依赖性

摘要 本工作首次利用内部状态变量理论探讨了填充橡胶的非弹性疲劳过程。该理论用于定性和定量分析填充橡胶的复杂的历史依赖循环响应，同时也揭示潜在的物理机制。对含有不同量炭黑并在广泛的预拉伸水平下循环加载的丁苯橡胶 (SBR) 进行了实验观察。检查了预拉伸和填料含量对碳填充 SBR 历史依赖性循环响应的影响，其特征是应力软化和滞后以及耗散加热。固有耗散，被认为是橡胶填充材料系统中两种类型重排的结果，即