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arXiv 0910.0591cond-mat.softcond-mat.stat-mechnlin.CDphysics.flu-dyn
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大振幅振动剪切中的应变率频率叠加

Strain-Rate Frequency Superposition in Large-Amplitude Oscillatory Shear

Chirag Kalelkar, Ashish Lele, Samruddhi Kamble

摘要:

在最近的一项工作中,Wessel,{ \it et.al.} [Phys. Rev. Lett.,{ \bf 98},238303(2007)]已经注意到“软固体”在振荡剪切下的性质,即所谓的应变率频率叠加(SRFS)。我们将这项研究扩展到大振幅振荡剪切(LAOS)下的软固体的情况。我们从LAOS的研究结果在单分散的水凝胶悬浮液,水凝胶,和生物聚合物悬浮液,并表明,恒定的应变率频率扫描测量软固体可以叠加到主曲线的高次谐波模量,与{ \it相同}的移位因子的线性粘弹性模量。我们表明,在恒定应变率频率扫描测量中的低频率下的高次谐波模量的行为是类似的,在大应变振幅的应变振幅扫描测试。我们显示表面图的谐波模量和每单位体积的能量耗散率在LAOS软固体,并表明实验表明,每单位体积的能量耗散取决于第一谐波损耗模量单独,在线性和非线性粘弹性制度。

英文摘要:

In a recent work, Wyss, {\it et.al.} [Phys. Rev. Lett., {\bf 98}, 238303 (2007)] have noted a property of `soft solids' under oscillatory shear, the so-called strain-rate frequency superposition (SRFS). We extend this study to the case of soft solids under large-amplitude oscillatory shear (LAOS). We show results from LAOS studies in a monodisperse hydrogel suspension, an aqueous gel, and a biopolymer suspension, and show that constant strain-rate frequency sweep measurements with soft solids can be superimposed onto master curves for higher harmonic moduli, with the {\it same} shift factors as for the linear viscoelastic moduli. We show that the behavior of higher harmonic moduli at low frequencies in constant strain-rate frequency sweep measurements is similar to that at large strain amplitudes in strain-amplitude sweep tests. We show surface plots of the harmonic moduli and the energy dissipation rate per unit volume in LAOS for soft solids, and show experimentally that the energy dissipated per unit volume depends on the first harmonic loss modulus alone, in both the linear and the nonlinear viscoelastic regime.

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