Features of the Plane Wave Propagating Through a Layered Phonon Crystal with Multiple Periodic Arrays of Cracks

Authors

  • Golub M.V. Kuban State University, Krasnodar, Российская Федерация
  • Fomenko S.I. Kuban State University, Krasnodar, Российская Федерация
  • Doroshenko O.V. Kuban State University, Krasnodar, Российская Федерация

UDC

539.3

DOI:

https://doi.org/10.31429/vestnik-17-1-2-31-41

Abstract

Propagation of elastic waves through a periodically arranged elastic structure composed of two-layered unit-cells (so-called phononic crystal) is considered in the present paper. Periodic arrays of interface strip-like cracks are introduced to influence on pass-bands and band-gaps. Features of plane wave propagation through a layered phononic crystal with multiple periodic arrays of cracks are studied employing the boundary integral equation method. The effect of the number of arrays of cracks on the band-gaps occurrence as well as the distribution of energy flow density in the phononic crystal are analyzed for various numbers of arrays of cracks and different frequencies. The effects of the number of arrays of cracks on the peculiarities of transmission/reflection of wave energy in the periodic structure are illustrated using streamlines, which are constructed via the Umov-Poynting vector. The introduction of periodic arrays of cracks into the layered phononic crystal allows to open it for wave propagation in certain frequency ranges. The latter may have a practical application in the development of acoustic filters.

Keywords:

elastic waves, phononic crystal, crack, periodic array, band gap, resonance, Umov-Poynting vector

Acknowledgement

Работа выполнена при поддержке Российского фонда фундаментальных исследований (проект 18-501-12069) и Немецкого научно-исследовательского общества DFG (проект ZH 15/29-1).

Author Infos

Mihail V. Golub

д-р физ.-мат. наук, ведущий научный сотрудник Института математики, механики и информатики Кубанского государственного университета

e-mail: m_golub@inbox.ru

Sergey I. Fomenko

канд. физ.-мат. наук, доцент кафедры прикладной математики Кубанского государственного университета

e-mail: sfom@yandex.ru

Olga V. Doroshenko

канд. физ.-мат. наук, доцент кафедры интеллектуальных информационных систем Кубанского государственного университета

e-mail: oldorosh@mail.ru

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Issue

2020. Vol. 17. No. 1. Part 2

Section

Mechanics

Pages

31-41

Submitted

2019-10-28

Published

2020-03-31

How to Cite

Golub M.V., Fomenko S.I., Doroshenko O.V. Features of the Plane Wave Propagating Through a Layered Phonon Crystal with Multiple Periodic Arrays of Cracks. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2020, vol. 17, no. 1, pp. 31-41. DOI: https://doi.org/10.31429/vestnik-17-1-2-31-41 (In Russian)

Copyright (c) 2020 Golub M.V., Fomenko S.I., Doroshenko O.V.

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