{"data":{"id":"10.6084/m9.figshare.6743717.v1","type":"dois","attributes":{"doi":"10.6084/m9.figshare.6743717.v1","prefix":"10.6084","suffix":"m9.figshare.6743717.v1","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Pongthep Poungthong","affiliation":[],"nameIdentifiers":[]},{"name":"Giacomin, Alan Jeffrey","nameType":"Personal","givenName":"Alan Jeffrey","familyName":"Giacomin","affiliation":[],"nameIdentifiers":[]},{"name":"Chaimongkol Saengow","affiliation":[],"nameIdentifiers":[]},{"name":"Chanyut Kolitawong","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"SERIES EXPANSION FOR SHEAR STRESS IN LARGE-AMPLITUDE OSCILLATORY SHEAR FLOW FROM OLDROYD 8-CONSTANT FRAMEWORK: SUPPLEMENTARY MATERIAL"}],"publisher":"figshare","container":{},"publicationYear":2018,"subjects":[{"subject":"90408 Rheology","subjectScheme":"FOR"},{"subject":"FOS: Chemical engineering","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"FOS: Chemical engineering","subjectScheme":"Fields of Science and Technology (FOS)"}],"contributors":[],"dates":[{"date":"2018-07-05","dateType":"Created"},{"date":"2018-07-05","dateType":"Updated"},{"date":"2018","dateType":"Issued"}],"language":null,"types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Dataset","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[{"relationType":"IsPreviousVersionOf","relatedIdentifier":"10.6084/m9.figshare.6743717","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["660653 Bytes"],"formats":[],"version":null,"rightsList":[{"rights":"Creative Commons Attribution 4.0 International","rightsUri":"https://creativecommons.org/licenses/by/4.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc-by-4.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"In this supplementary material, we show how we arrive at the starting eqaution before grouping and rearanging it into our main result . We begin with the exact solution for shear stress response for any special cases of the Oldroyd 8-constant framework, Eqs. (65) through (71) of [Physics of fluid 29, 043101 (2017)] in large-amplitude oscillatory shear flow (LAOS). We then expand the exact solution in Taylor series about Wi=0 (in even powers up to Wi^16) to get the starting eqaution. \u003cbr\u003e","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://figshare.com/articles/SERIES_EXPANSION_FOR_SHEAR_STRESS_IN_LARGE-AMPLITUDE_OSCILLATORY_SHEAR_FLOW_FROM_OLDROYD_8-CONSTANT_FRAMEWORK_SUPPLEMENTARY_MATERIAL/6743717/1","contentUrl":null,"metadataVersion":5,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"mds","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":0,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2018-07-05T13:07:50.000Z","registered":"2018-07-05T13:07:50.000Z","published":"2018","updated":"2020-08-28T18:58:12.000Z"},"relationships":{"client":{"data":{"id":"figshare.ars","type":"clients"}},"provider":{"data":{"id":"otjm","type":"providers"}},"media":{"data":{"id":"10.6084/m9.figshare.6743717.v1","type":"media"}},"references":{"data":[]},"citations":{"data":[]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"data":[]},"versionOf":{"data":[]}}}}