On the propagation of transient waves in a viscoelastic Bessel medium

Colombaro, Ivano; Giusti, Andrea und Mainardi, Francesco (2017): On the propagation of transient waves in a viscoelastic Bessel medium. In: Zeitschrift für Angewandte Mathematik und Physik, Bd. 68, Nr. 3, 62

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 0044-2275
• Sprache: Englisch