Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Modestov K. A., Shitikova M. V. Harmonic wave propagation in viscoelastic media modelled via fractional derivative models. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2025, vol. 25, iss. 2, pp. 214-230. DOI: 10.18500/1816-9791-2025-25-2-214-230, EDN: PVASPW

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
30.05.2025
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Language: 
Russian
Heading: 
Mechanics
Article type: 
Article
UDC: 
517.98
DOI: 
10.18500/1816-9791-2025-25-2-214-230
EDN: 
PVASPW

Harmonic wave propagation in viscoelastic media modelled via fractional derivative models

Autors: 
Modestov Konstantin A., Moscow State University of Civil Engineering
Shitikova Marina Vyacheslavovna, Moscow State University of Civil Engineering
Abstract: 

In the present paper, harmonic waves propagating in 3D isotropic viscoelastic media are analyzed using the fractional derivative Kelvin – Voigt model, Maxwell model and standard linear solid model. Asymptotic values of the wave velocities, their coefficients of attenuation and logarithmic decrements have been found.

Key words: 
viscoelastic media
rheological models
fractional derivative
logarithmic decrement of attenuation
dispersion
Acknowledgments: 
This research was carried out within the Scientific Programme of Moscow National Research University of Civil Engineering (project No. 36).
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Received: 
10.08.2024
Accepted: 
15.11.2024
Published: 
30.05.2025
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