2022
DOI: 10.48550/arxiv.2203.09983
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Kramers-Kronig Relations for Nonlinear Rheology: 2. Validation of Medium Amplitude Oscillatory Shear (MAOS) Measurements

Sachin Shanbhag,
Yogesh M. Joshi

Abstract: The frequency dependence of third-harmonic medium amplitude oscillatory shear (MAOS) modulus G * 33 (ω) provides insight into material behavior and microstructure in the asymptotically nonlinear regime.Motivated by the difficulty in the measurement of MAOS moduli, we propose a test for data validation based on nonlinear Kramers-Kronig relations. We extend the approach used to assess the consistency of linear viscoelastic data by expressing the real and imaginary parts of G * 33 (ω) as a linear combination of M… Show more

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