期刊
PHYSICS OF FLUIDS
卷 31, 期 12, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.5133885
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资金
- EPSRC through the Centre for Innovative Manufacturing in Large Area Electronics (CIMLAE) [EP/K03099X/1]
- EPSRC platform grant in Engineering Blood Diagnostics [EP/N013506/1]
- EPSRC through the Inverse Problems Network [EP/P005985/1]
- EPSRC [EP/P005985/1, EP/N013506/1, EP/K03099X/1] Funding Source: UKRI
In a recent paper, we derived expressions for determining the rate-dependent response spectra directly from parallel superposition rheometry data for the case of a certain Lodge-type integral constitutive model. It was shown that, within the confines of linear Yamamoto perturbation theory, the corresponding parallel superposition moduli satisfy the classical Kramers-Kronig relations. Special bases were presented to convert parallel superposition moduli to orthogonal superposition moduli. In the current paper, we obtain similar results for the integral models of Wagner I and, more generally, K-BKZ. These results facilitate the physical interpretation of parallel superposition moduli and direct model-based comparison of parallel and orthogonal superposition moduli in the study of weak nonlinear response. (C) 2019 Author(s).
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