No Cover Image

Journal article 839 views 136 downloads

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

  • 52860.VOR.pdf

    PDF | Version of Record

    © 2019 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license

    Download (1.3MB)

Check full text

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...

Full description

Published in: Physics of Fluids
ISSN: 1070-6631 1089-7666
Published: AIP Publishing 2019
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa52860
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2019-11-25T13:13:42Z
last_indexed 2020-11-21T04:07:16Z
id cronfa52860
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2020-11-20T09:22:48.7359854</datestamp><bib-version>v2</bib-version><id>52860</id><entry>2019-11-25</entry><title>On response spectra and Kramers-Kronig relations in superposition rheometry</title><swanseaauthors><author><sid>e76ff28a23af2fe37099c4e9a24c1e58</sid><ORCID>0000-0002-6955-0524</ORCID><firstname>Daniel</firstname><surname>Curtis</surname><name>Daniel Curtis</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2019-11-25</date><deptcode>CHEG</deptcode><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</abstract><type>Journal Article</type><journal>Physics of Fluids</journal><volume>31</volume><journalNumber>12</journalNumber><paginationStart>127105</paginationStart><paginationEnd/><publisher>AIP Publishing</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>1070-6631</issnPrint><issnElectronic>1089-7666</issnElectronic><keywords>Superposition rheometry, response spectra, Kramers-Kronig relations, Wagner I, K-BKZ</keywords><publishedDay>16</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2019</publishedYear><publishedDate>2019-12-16</publishedDate><doi>10.1063/1.5133885</doi><url/><notes>Special Issue from the Institute of Non-Newtonian Fluid Mechanics Meeting, Lake Vyrnwy, 2019.</notes><college>COLLEGE NANME</college><department>Chemical Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>CHEG</DepartmentCode><institution>Swansea University</institution><apcterm/><funders>UKRI, EP/N013506/1</funders><lastEdited>2020-11-20T09:22:48.7359854</lastEdited><Created>2019-11-25T10:24:44.0097216</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Engineering and Applied Sciences - Chemical Engineering</level></path><authors><author><firstname>Daniel</firstname><surname>Curtis</surname><orcid>0000-0002-6955-0524</orcid><order>1</order></author><author><firstname>A. R.</firstname><surname>Davies</surname><order>2</order></author></authors><documents><document><filename>52860__16157__bd1352966f694671b6041997694d4e41.pdf</filename><originalFilename>52860.VOR.pdf</originalFilename><uploaded>2019-12-20T10:49:34.4647143</uploaded><type>Output</type><contentLength>1358240</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>&#xA9; 2019 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>https://creativecommons.org/licenses/by/4.0/</licence></document></documents><OutputDurs/></rfc1807>
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 CHEG 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 Chemical Engineering COLLEGE CODE CHEG 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
hierarchytype
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
document_store_str 1
active_str 0
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 2019-12-16T04:05:29Z
_version_ 1763753411644227584
score 10.99873

Similar Items