中等振幅平行叠加（MAPS）流变学，第2部分：实验方案和数据分析
Medium Amplitude Parallel Superposition (MAPS) Rheology, Part 2: Experimental Protocols and Data Analysis
摘要：
开发了一种实验方案，以直接测量由中等振幅平行叠加（MAPS）流变学揭示的新材料功能。该实验方案测量材料对由不同频率的三个正弦波组成的简单剪切变形的中等振幅响应。施加这种变形和测量的机械响应揭示了一个丰富的数据集，包括多达19个测量的三阶复数模量在不同的三频坐标。我们讨论了输入频率的选择如何影响实验研究的MAPS域的特性。讨论了一种多项式插值方法，用于减少由于噪声引起的频谱泄漏和方差对测量值的偏差，包括推导输入信号的最佳幅度范围。这导致的结论是，进行实验中的应力控制的方式具有明显的优势，应变控制模式。实验协议证明，通过测量的MAPS响应的模型复杂的流体：蠕虫状胶束的表面活性剂溶液。由此产生的数据集确实是大的和功能丰富的，同时仍然是在一个类似的中等振幅振荡剪切（MAOS）实验的时间获得。我们表明，数据表示测量的内在材料功能，通过研究其内部的一致性，其兼容性与低频率的预测科尔曼-诺尔简单的流体，其协议通过MAOS振幅扫描获得的数据。最后，数据进行比较，从共旋麦克斯韦模型的预测，以证明MAPS流变学的力量，在确定本构模型是否与材料的时间相关的响应是一致的。
英文摘要：
An experimental protocol is developed to directly measure the new material functions revealed by medium amplitude parallel superposition (MAPS) rheology. This experimental protocol measures the medium amplitude response of a material to a simple shear deformation composed of three sine waves at different frequencies. Imposing this deformation and measuring the mechanical response reveals a rich data set consisting of up to 19 measurements of the third order complex modulus at distinct three-frequency coordinates. We discuss how the choice of the input frequencies influences the features of the MAPS domain studied by the experiment. A polynomial interpolation method for reducing the bias of measured values from spectral leakage and variance due to noise is discussed, including a derivation of the optimal range of amplitudes for the input signal. This leads to the conclusion that conducting the experiment in a stress-controlled fashion possesses a distinct advantage to the strain-controlled mode. The experimental protocol is demonstrated through measurements of the MAPS response of a model complex fluid: a surfactant solution of wormlike micelles. The resulting data set is indeed large and feature-rich, while still being acquired in a time comparable to similar medium amplitude oscillatory shear (MAOS) experiments. We demonstrate that the data represents measurements of an intrinsic material function by studying its internal consistency, its compatibility with low-frequency predictions for Coleman-Noll simple fluids, and its agreement with data obtained via MAOS amplitude sweeps. Finally, the data is compared to predictions from the corotational Maxwell model to demonstrate the power of MAPS rheology in determining whether a constitutive model is consistent with a material's time-dependent response.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
