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2016

A class of linear viscoelastic models based on Bessel functions

Colombaro, Ivano, Giusti, Andrea, Mainardi, Francesco

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In this paper we investigate a general class of linear viscoelastic models whose creep and relaxation memory functions are expressed in Laplace domain by suitable ratios of modified Bessel functions of contiguous order.

In time domain these functions are shown to be expressed by Dirichlet series (that is infinite Prony series).
It follows that the corresponding creep compliance and relaxation modulus turn out to be characterized by infinite discrete spectra of retardation and relaxation time respectively.
As a matter of fact, we get a class of viscoelastic models depending on a real parameter $\nu > -1$.

A class of linear viscoelastic models based on Bessel functions · Around

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P.W. Buchen, F. Mainardi, Asymptotic expansions for transient viscoelastic waves, Journal de Mécanique
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