Aging soft glassy materials do not follow time-translational invariance and violate the principles of linear viscoelasticity, such as the relation between the dynamic moduli in the frequency domain and the stress relaxation modulus in the time domain. Using an aqueous suspension of hectorite clay, a model aging soft glassy material, we account for time-dependent behavior by transforming the experimentally obtained stress relaxation and dynamic moduli from the real-time domain to the effective-time domain by normalizing the real-time by a time-dependent relaxation time. We find that the two sets of experiments probe different aging and deformation timescales, and simultaneous analysis provides insights into material behavior over a wide range of timescales. Careful analysis of the dynamic moduli reveals contamination of (slow) aging α modes by (fast) nonaging β modes, which is not clearly evident in the stress relaxation modulus. On the other hand, the stress relaxation measurements probe timescales long enough to characterize the terminal relaxation of the suspension. A toy Maxwell model is used to elucidate the interaction of the slow aging and fast nonaging modes, and their effect of measurements. The synergistic relationship between the two sets of experiments offers guidelines for characterizing time-dependent materials by generalizing the principles of linear viscoelasticity.

中文翻译：

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老化软玻璃线粘弹性分析

老化的软玻璃材料不遵循时间平移不变性，违反线性粘弹性原理，例如频域中的动态模量与时域中的应力松弛模量之间的关系。使用锂蒙脱石粘土的水悬浮液，一种模型老化的软玻璃材料，我们通过将实验获得的应力松弛和动态模量从实时域转换为有效时域，通过对实时域进行归一化来解释时间依赖行为。由依赖于时间的弛豫时间。我们发现两组实验探测了不同的老化和变形时间尺度，同时分析提供了对材料行为在广泛时间尺度上的见解。动态模量的仔细分析揭示了（慢）老化 α 模式被（快速）非老化 β 模式污染，这在应力松弛模量中并不明显。另一方面，应力松弛测量探测时间尺度足够长，以表征悬浮液的终端松弛。玩具麦克斯韦模型用于阐明慢老化和快速非老化模式的相互作用，以及它们对测量的影响。两组实验之间的协同关系通过概括线性粘弹性的原理，为表征瞬态材料提供了指导。应力松弛测量探测时间尺度足够长以表征悬浮液的终端松弛。玩具麦克斯韦模型用于阐明慢老化和快速非老化模式的相互作用，以及它们对测量的影响。两组实验之间的协同关系通过概括线性粘弹性的原理，为表征瞬态材料提供了指导。应力松弛测量探测时间尺度足够长以表征悬浮液的终端松弛。玩具麦克斯韦模型用于阐明慢老化和快速非老化模式的相互作用，以及它们对测量的影响。两组实验之间的协同关系通过概括线性粘弹性的原理，为表征瞬态材料提供了指导。