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. This result is obtained by means of the Tauberian theorems for the Laplace transform. Finally, we relate the obtained results to a peculiar model for fluid-filled elastic tubes.

Colombaro, I., Giusti, A., Mainardi, F. (2017). On the propagation of transient waves in a viscoelastic Bessel medium. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 68(3), 1-13 [10.1007/s00033-017-0808-6].

On the propagation of transient waves in a viscoelastic Bessel medium

COLOMBARO, IVANO;GIUSTI, ANDREA;MAINARDI, FRANCESCO
2017

Abstract

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. This result is obtained by means of the Tauberian theorems for the Laplace transform. Finally, we relate the obtained results to a peculiar model for fluid-filled elastic tubes.
2017
Colombaro, I., Giusti, A., Mainardi, F. (2017). On the propagation of transient waves in a viscoelastic Bessel medium. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 68(3), 1-13 [10.1007/s00033-017-0808-6].
Colombaro, Ivano; Giusti, Andrea; Mainardi, Francesco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/588090
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