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Interconversion of Prony series for relaxation and creep

Loy, Richard; de Hoog, F R; Anderssen, Robert S


Various algorithms have been proposed to solve the interconversion equation of linear viscoelasticity when Prony series are used for the relaxation and creep moduli, G(t) and J(t). With respect to a Prony series for G(t), the key step in recovering the corresponding Prony series for J(t) is the determination of the coefficients {jk} of terms in J(t). Here, the need to solve a poorly conditioned matrix equation for the {jk} is circumvented by deriving elementary and easily evaluated analytic...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Journal of Rheology
DOI: 10.1122/1.4929398


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