Interconversion of Prony series for relaxation and creep

R. J. Loy, F. R. de Hoog, R. S. Anderssen
2015 Journal of rheology  
Published by the The Society of Rheology Articles you may be interested in Logarithmic method for continuous relaxation spectrum and comparison with previous methods Abstract 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
more » ... ents fj k g of terms in J(t). Here, the need to solve a poorly conditioned matrix equation for the fj k g is circumvented by deriving elementary and easily evaluated analytic formulae for the fj k g in terms of the derivative d b GðsÞ=ds of the Laplace transform b GðsÞ of G(t). V C 2015 The Society of Rheology. [http://dx.
doi:10.1122/1.4929398 fatcat:cbncrrksqffxpcb222nuezcywy