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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
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last_indexed 2020-11-21T04:07:16Z
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spelling 2020-11-20T09:22:48.7359854 v2 52860 2019-11-25 On response spectra and Kramers-Kronig relations in superposition rheometry e76ff28a23af2fe37099c4e9a24c1e58 0000-0002-6955-0524 Daniel Curtis Daniel Curtis true false 2019-11-25 EAAS 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 Journal Article Physics of Fluids 31 12 127105 AIP Publishing 1070-6631 1089-7666 Superposition rheometry, response spectra, Kramers-Kronig relations, Wagner I, K-BKZ 16 12 2019 2019-12-16 10.1063/1.5133885 Special Issue from the Institute of Non-Newtonian Fluid Mechanics Meeting, Lake Vyrnwy, 2019. COLLEGE NANME Engineering and Applied Sciences School COLLEGE CODE EAAS Swansea University UKRI, EP/N013506/1 2020-11-20T09:22:48.7359854 2019-11-25T10:24:44.0097216 Faculty of Science and Engineering School of Engineering and Applied Sciences - Chemical Engineering Daniel Curtis 0000-0002-6955-0524 1 A. R. Davies 2 52860__16157__bd1352966f694671b6041997694d4e41.pdf 52860.VOR.pdf 2019-12-20T10:49:34.4647143 Output 1358240 application/pdf Version of Record true © 2019 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license true eng https://creativecommons.org/licenses/by/4.0/
title On response spectra and Kramers-Kronig relations in superposition rheometry
spellingShingle On response spectra and Kramers-Kronig relations in superposition rheometry
Daniel Curtis
title_short On response spectra and Kramers-Kronig relations in superposition rheometry
title_full On response spectra and Kramers-Kronig relations in superposition rheometry
title_fullStr On response spectra and Kramers-Kronig relations in superposition rheometry
title_full_unstemmed On response spectra and Kramers-Kronig relations in superposition rheometry
title_sort On response spectra and Kramers-Kronig relations in superposition rheometry
author_id_str_mv e76ff28a23af2fe37099c4e9a24c1e58
author_id_fullname_str_mv e76ff28a23af2fe37099c4e9a24c1e58_***_Daniel Curtis
author Daniel Curtis
author2 Daniel Curtis
A. R. Davies
format Journal article
container_title Physics of Fluids
container_volume 31
container_issue 12
container_start_page 127105
publishDate 2019
institution Swansea University
issn 1070-6631
1089-7666
doi_str_mv 10.1063/1.5133885
publisher AIP Publishing
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Chemical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Chemical Engineering
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description 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
published_date 2019-12-16T07:50:43Z
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score 11.047501

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