Ratio of dynamic moduli and estimation of relaxation times

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dc.contributorVirginia Techen
dc.contributor.authorHuang, J. H.en
dc.contributor.authorBaird, Donald G.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.contributor.departmentChemical Engineeringen
dc.date.accessed2014-01-31en
dc.date.accessioned2014-01-30T17:54:55Zen
dc.date.available2014-01-30T17:54:55Zen
dc.date.issued2002-07-01en
dc.description.abstractIn this paper, the theoretical interrelation between the ratio of dynamic moduli and the number and distribution of relaxation times required to fit the generalized Maxwell model to the data was investigated. Theorems were derived for making interval estimation of the relaxation times of the generalized Maxwell model from the ratio of linear combinations of the dynamic moduli at different frequencies. According to these theorems, given dynamic moduli (G' and G") at two frequencies a and b or three frequencies a, b, and (ab)(1/2), one must select at least one relaxation time in the relevant interval (tau(A), tau(B)) for the model to fit the data precisely. As a result, from a set of dynamic data G' and G", one can determine a series of (tau(A), tau(B)) from which the minimum number (N-min) and distribution (interval estimation of tau(i)) of relaxation times of the model can be estimated. The approach was applied to polystyrene data reported in the literature. The results were discussed and compared with those of relevant work, especially the nonlinear regression model-fitting procedure. (C) 2002 The Society of Rheology.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHuang, JH; Baird, DG, "Ratio of dynamic moduli and estimation of relaxation times," J. Rheol. 46, 777 (2002); http://dx.doi.org/10.1122/1.1485278en
dc.identifier.doihttps://doi.org/10.1122/1.1485278en
dc.identifier.issn0148-6055en
dc.identifier.urihttp://hdl.handle.net/10919/25230en
dc.identifier.urlhttp://scitation.aip.org/content/sor/journal/jor2/46/4/10.1122/1.1485278en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectDiscrete relaxationen
dc.subjectMechanical dataen
dc.subjectSpectrumen
dc.titleRatio of dynamic moduli and estimation of relaxation timesen
dc.title.serialJournal of Rheologyen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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