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On response spectra and Kramers-Kronig relations in superposition rheometry

Daniel Curtis Orcid Logo, A. R. Davies

Physics of Fluids, Volume: 31, Issue: 12, Start page: 127105

Swansea University Author: Daniel Curtis Orcid Logo

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DOI (Published version): 10.1063/1.5133885

Abstract

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 corre...

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Published in: Physics of Fluids
ISSN: 1070-6631 1089-7666
Published: AIP Publishing 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa52860
Abstract: 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
Item Description: Special Issue from the Institute of Non-Newtonian Fluid Mechanics Meeting, Lake Vyrnwy, 2019.
Keywords: Superposition rheometry, response spectra, Kramers-Kronig relations, Wagner I, K-BKZ
College: Faculty of Science and Engineering
Funders: UKRI, EP/N013506/1
Issue: 12
Start Page: 127105

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