On the propagation of transient waves in a viscoelastic Bessel medium

Andrea Giusti; Francesco Mainardi; Ivano Colombaro

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On the propagation of transient waves in a viscoelastic Bessel medium

Ivano Colombaro, Andrea Giusti, Francesco Mainardi

Mathematical Physics · Submitted 30 Dec 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Finally, we relate the obtained results to a peculiar model for fluid-filled elastic tubes.

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arXiv ID1612.09489 (version 2)

Pith IDXYTOQML5, Pith's permanent record of this paper and its review

CitationAndrea Giusti, Francesco Mainardi, Ivano Colombaro. "On the propagation of transient waves in a viscoelastic Bessel medium." arXiv:1612.09489 (2016). https://pith.science/paper/XYTOQML5

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.12 · mentions code or data availability 0.02.

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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. 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.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this paper we discuss the uniaxial propagation of transient waves within a semi-infinite viscoelastic Bessel medium.	contribution 0.60	0.42	0.06	asserted 0.80
s1	First, we provide the analytic expression for the response function of the material as we approach the wave-front.	contribution 0.74	0.94	0.07	asserted 0.99
s2	To do so, we take profit of a revisited version of the so called Buchen-Mainardi algorithm.	method 1.00	0.60	0.03	asserted 0.97
s3	Secondly, we provide an analytic expression for the long time behavior of the response function of the material.	contribution 0.63	0.95	0.13	asserted 1.00
s4	This result is obtained by means of the Tauberian theorems for the Laplace transform.	method 1.00	0.81	0.05	asserted 1.00
s5	Finally, we relate the obtained results to a peculiar model for fluid-filled elastic tubes.	interpretation 0.74	0.88	0.31	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original 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.

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2 arXiv papers cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Cites it as background 2 papers

In the last three decades, Linear Viscoelasticity [ref] has presented itself as a fundamental tool for modelling various physical situations, from seismology to biophysics (see [ref] ).

On transient waves in linear viscoelasticity · Introduction · 0.97
In recent years, the quest for potential biomedical applications of ordinary and fractional viscoelastic models has attracted much attention, see [ref] .

On infinite order differential operators in fractional viscoelasticity · Introduction · 0.92

What it cites · 14 sentences without a confident label

Cites as background 4 papers

For further informations about physical applications of this technique, see [ref] .

A dynamic viscoelastic analogy for fluid-filled elastic tubes · On the long time behavior of transient waves in a Bessel solid · 0.94
For further informations about physical applications of this technique, see [ref] .

On infinite series concerning zeros of Bessel functions of the first kind · On the long time behavior of transient waves in a Bessel solid · 0.94
For further informations about physical applications of this technique, see [ref] .

A class of linear viscoelastic models based on Bessel functions · On the long time behavior of transient waves in a Bessel solid · 0.94

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