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2016

On the propagation of transient waves in a viscoelastic Bessel medium

Colombaro, Ivano, Giusti, Andrea, Mainardi, Francesco

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In this paper we discuss the uniaxial propagation of transient waves within a semi-infinite viscoelastic Bessel medium.

First, we provide the analytic expression for the response function of the material as we approach the wave-front.
To do so, we take profit of a revisited version of the so called Buchen-Mainardi algorithm.
Secondly, we provide an analytic expression for the long time behavior of the response function of the material.

On the propagation of transient waves in a viscoelastic Bessel medium · Around

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F. G. Friedlander and J. B. Keller, Asymptotic expansions of solutions of ( Δ + k 2 ) u = 0 (\Delta+k^{2})u=0 . Comm. Pure and Appl. Math
1955
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M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions
1965
Earlier work this paper cites.
P.W. Buchen, F. Mainardi, Asymptotic expansions for transient viscoelastic waves, Journal de Mécanique
1975
Earlier work this paper cites.
R.M. Christensen, Theory of Viscoelasticity
1982
Earlier work this paper cites.
A. Pipkin, Lectures on Viscoelastic Theory
1986
Earlier work this paper cites.

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