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首页> 外文期刊>Journal of Applied Polymer Science >The nonlinear stress relaxation behavior after a step shear of star-shaped styrene-butadiene rubber filled with precipitated silica: Experiment and simulation
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The nonlinear stress relaxation behavior after a step shear of star-shaped styrene-butadiene rubber filled with precipitated silica: Experiment and simulation

机译：填充沉淀二氧化硅的星形苯乙烯 - 丁二烯橡胶步进剪切后的非线性应力松弛行为：实验和仿真

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The nonlinear stress relaxation behavior after a step shear strain of star-shaped SSBR/silica compounds containing 21 vol% filler of various surface areas was measured and simulated using constitutive equations. A styrene-butadiene rubber (SBR) gum and SBR filled with silica having BET surface areas of 55, 135, 160, and 195 m(2)/g were used. Relaxation modulus behavior of the filled compounds was found to be dependent on surface area. Specifically, stress relaxation tests indicated that an increase in surface area led to increase in values of relaxation moduli in both the linear and nonlinear regimes. The time-dependent relaxation modulus exhibited a plateau at long times of relaxation in compounds containing silica of high surface area. Additionally, good time-strain superpositions were achieved for all samples at intermediate times of relaxation, and the strain-dependent damping function decreased with filler surface area. The constitutive equations proposed by Leonov and Simhambhatla and Leonov, modified to include multimodal relaxation of the particle network, were used to predict the time evolution of the relaxation modulus in the nonlinear regime for all samples. The simulations provided good results for the SBR gum for all tested strain levels. Also, in the compounds filled with silica, both models satisfactorily described the experimental observation in the nonlinear regime at low strain levels. However, at higher strain levels, due to a possible slip effect, the simulations overpredicted measured values of the relaxation moduli, thus leading to only qualitative predictions of the observed behavior. It is also possible that neither model accurately captured the floc rupture kinetics of these complex rubber compounds.
机译：采用本构方程对含有21 vol%不同表面积填料的星形SSBR/二氧化硅化合物在阶跃剪切应变后的非线性应力松弛行为进行了测量和模拟。使用苯乙烯-丁二烯橡胶（SBR）胶和填充二氧化硅的SBR，其BET表面积为55、135、160和195 m（2）/g。发现填充化合物的松弛模量行为取决于表面积。具体而言，应力松弛试验表明，表面积的增加导致线性和非线性区域的松弛模量值增加。在含有高比表面积二氧化硅的化合物中，随时间变化的弛豫模量在长时间弛豫时表现出平台。此外，在松弛的中间时间，所有样品都实现了良好的时间-应变叠加，应变相关阻尼函数随填料表面积的增加而减小。Leonov、Simhambhatla和Leonov提出的本构方程，经过修改，包括粒子网络的多峰松弛，用于预测所有样品在非线性状态下松弛模量的时间演化。模拟为SBR胶在所有测试菌株水平下提供了良好的结果。此外，在填充了二氧化硅的化合物中，两种模型都令人满意地描述了在低应变水平下非线性区域的实验观察。然而，在更高的应变水平下，由于可能的滑移效应，模拟过度预测了松弛模量的测量值，因此只能对观察到的行为进行定性预测。这两种模型都可能准确地捕捉到这些复杂橡胶化合物的絮体破裂动力学。

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