Elastic wave propagation, scattering and localization in layered phononic crystals with arrays of strip-like cracks

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:212

Article

Golub, Mikhail, V¹  Doroshenko, Olga, V¹  Fomenko, Sergey, I¹  Wang, Yanzheng²  Zhang, Chuanzeng² 

[1] Kuban State Univ, Inst Math Mech & Informat, Krasnodar 350040, Russia

[2] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany

关键词: Resonance;    Acoustic metamaterial;    Phononic crystals;    Elastic waves;    Crack;    Localization;    Scattering;    Boundary integral equation method;    Band-gaps;    Acoustic filter;   

DOI  :  10.1016/j.ijsolstr.2020.12.001

来源: Elsevier

【 摘 要 】

In the present study, the scattering of plane elastic waves by multiple periodic arrays of interface strip-like cracks is investigated. The boundary-value problem is solved using the boundary integral equation method. The convergence of the proposed method is demonstrated for both multiple cracks and multiple periodic arrays of cracks. It is shown that the introduction of periodic arrays of strip-like interface cracks into a layered periodic structure leads to the formation of additional band-gaps in frequency ranges corresponding to pass-bands for the same structure without cracks. The influences of the positions of cracks and their widths on wave transmission through the layered phononic crystal with cracks are studied and compared for several lattices. It is revealed that the introduction of interface cracks may lead to the formation of extra band-gaps and pass-bands. Also, the effects of wave localization and the resonance scattering are investigated for a better understanding of the revealed wave phenomena. (C) 2020 Elsevier Ltd. All rights reserved.

【 授权许可】

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