AbstractChanges in the aggregated structure of silica in styrene–butadiene rubber are measured with small-angle X-ray scattering under cyclic uniaxial elongation. We employ a spherical harmonics expansion approach to quantitatively analyze the anisotropic scattering data and to separate the anisotropic response of the silica’s configuration upon the elongation from the isotropic component. The results clearly show inhomogeneity in microscopic deformation upon elongation. Phase lag between microscopic structural responses and macroscopic strain are also observed. This study demonstrates that the combination of time-resolved small-angle scattering measurement and an analysis using spherical harmonics expansion is quite useful for exploring the structural response of filled rubber systems to an external deformation.Changes in the aggregated structure of silica in styrene–butadiene rubber are measured with small-angle X-ray scattering under cyclic uniaxial elongation. We employ a spherical harmonics expansion approach to quantitatively analyze the anisotropic scattering data and to separate the anisotropic response of the silica’s configuration upon the elongation from the isotropic component. This study demonstrates that the combination of time-resolved small-angle scattering measurement and an analysis using spherical harmonics expansion is quite useful for exploring the structural response of filled rubber systems to an external deformation.

中文翻译：

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单轴循环拉伸下丁苯橡胶中纳米颗粒的微观结构响应

摘要 丁苯橡胶中二氧化硅聚集结构的变化是在循环单轴拉伸下用小角 X 射线散射测量的。我们采用球谐函数展开方法对各向异性散射数据进行定量分析，并将伸长时二氧化硅配置的各向异性响应与各向同性分量分开。结果清楚地表明伸长时微观变形的不均匀性。还观察到微观结构响应和宏观应变之间的相位滞后。该研究表明，时间分辨小角度散射测量与使用球谐函数展开的分析相结合，对于探索填充橡胶系统对外部变形的结构响应非常有用。丁苯橡胶中二氧化硅聚集结构的变化是在循环单轴伸长下用小角 X 射线散射测量的。我们采用球谐函数展开方法对各向异性散射数据进行定量分析，并将伸长时二氧化硅配置的各向异性响应与各向同性分量分开。该研究表明，时间分辨小角度散射测量与使用球谐函数展开的分析相结合，对于探索填充橡胶系统对外部变形的结构响应非常有用。我们采用球谐函数展开方法对各向异性散射数据进行定量分析，并将伸长时二氧化硅配置的各向异性响应与各向同性分量分开。该研究表明，时间分辨小角度散射测量与使用球谐函数展开的分析相结合，对于探索填充橡胶系统对外部变形的结构响应非常有用。我们采用球谐函数展开方法对各向异性散射数据进行定量分析，并将伸长时二氧化硅配置的各向异性响应与各向同性分量分开。该研究表明，时间分辨小角度散射测量与使用球谐函数展开的分析相结合，对于探索填充橡胶系统对外部变形的结构响应非常有用。