Features of the Propagation of Long Waves in Phononic Crystals, the Influence of the Concentration and Polydispersity of the Components

Features of the Propagation of Long Waves in Phononic Crystals, the Influence of the Concentration and Polydispersity of the Components Full article

Journal

Applied Sciences (Switzerland)
ISSN: 2076-3417

Output data

Year: 2022, Volume: 12, Number: 7, Article number : 3241, Pages count : 13 DOI: 10.3390/app12073241

Tags

phononic crystals; acoustic waves; waves in inhomogeneous media; methods of averaging inhomogeneous media; acoustics of composites; acoustics of porous media; acoustic control methods

Authors

Baenova Gulmirf ¹ , Sukhinin Sergey ² , Zhumadillayeva Ainur ¹ , Dyussekeyev K ¹ , Akhmetova Z ¹ , Zhunissov N. ³ , Glazyrina N. ¹ , Julamanova Z. ⁴

Affiliations

1	Faculty of Information Technologies, L.N. Gumilyov Eurasian National University
2	Lavrentyev Institute of Hydrodynamics
3	Faculty of Engineering, Kh.A. Yassawi International Kazakh‐Turkish University
4	Department of Physics, Mathematics and General Technical Disciplines, Atyrau Oil and Gas University Named after Safi Utebayev

The relevance of the research is determined by the need to simulate wave propagation in heterogeneous media based on phononic crystals. These studies are necessary for the tasks of flaw detection, the development of non‐destructive testing methods, geophysics, engineering geophysics and other methods of acoustic research. During the study, it was determined that the fragmentation of the components of two‐component phononic crystals into 2, 3, ... N equal parts in the unit cell leads to a catastrophic rearrangement of the dispersion relations and the appearance of new elementary wave packets for acoustic waves. Using numerical‐analytical methods, it is shown that in two‐component phononic crystals, the polydispersity of the components can significantly affect the average characteristics of the propagation of long acoustic waves when the polydisperse crystal is close to monodisperse with a smaller unit cell size. For polydisperse crystals close to monodisperse with the same period (unit cell size), their averaged characteristics for long waves coincide.

Baenova G. , Sukhinin S. , Zhumadillayeva A. , Dyussekeyev K. , Akhmetova Z. , Zhunissov N. , Glazyrina N. , Julamanova Z.
Features of the Propagation of Long Waves in Phononic Crystals, the Influence of the Concentration and Polydispersity of the Components
Applied Sciences (Switzerland). 2022. V.12. N7. 3241 :1-13. DOI: 10.3390/app12073241 WOS Scopus РИНЦ OpenAlex

Submitted:	Feb 25, 2022
Accepted:	Mar 19, 2022
Published online:	Mar 22, 2022

Web of science:	WOS:000781895400001
Scopus:	2-s2.0-85127488698
Elibrary:	48424273
OpenAlex:	W4220857447

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