The weakly nonlinear rheology of a surfactant solution of wormlike micelles is investigated from both a modeling and experimental perspective using the framework of medium amplitude parallel superposition (MAPS) rheology. MAPS rheology defines material functions, such as the third-order complex compliance, which span the entire weakly nonlinear response space of viscoelastic materials to simple shear deformations. Three-tone oscillatory shear deformations are applied to obtain feature-rich data characterizing the third-order complex compliance with high data throughput. Here, data for a CPyCl solution are compared to the analytical solution for the MAPS response of a reptation-reaction constitutive model, which treats micelles as linear polymers that can break apart and recombine in solution. Regression of the data to the model predictions provides new insight into how these breakage and recombination processes are affected by shear, and demonstrates the importance of using information-rich data to infer precise estimates of model parameters.

Graphical abstract

中文翻译：

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蠕虫状胶束溶液的中振幅平行叠加 (MAPS) 流变学

使用中等振幅平行叠加 (MAPS) 流变学框架，从建模和实验角度研究了蠕虫状胶束表面活性剂溶液的弱非线性流变学。MAPS 流变学定义了材料函数，例如三阶复柔量，它跨越了粘弹性材料的整个弱非线性响应空间到简单的剪切变形。应用三音振荡剪切变形来获得特征丰富的数据，这些数据表征了具有高数据吞吐量的三阶复数顺应性。在这里，将 CPyCl 溶液的数据与蠕动反应本构模型的 MAPS 响应的解析解进行比较，该模型将胶束视为可以在溶液中分解和重组的线性聚合物。

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