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.

在本研究中，研究了界面带状裂纹的多个周期阵列对平面弹性波的散射。使用边界积分方程法解决了边值问题。对于多个裂纹和裂纹的多个周期阵列，都证明了该方法的收敛性。结果表明，将带状界面裂纹的周期性阵列引入分层的周期性结构中会导致在与没有裂纹的相同结构的通带相对应的频率范围内形成额外的带隙。研究并比较了裂纹的位置及其宽度对通过带有裂纹的层状声子晶体的波传输的影响，并比较了多个晶格。结果表明，界面裂纹的引入可能导致形成额外的带隙和通带。此外，为了更好地理解所揭示的波现象，还研究了波定位和共振散射的影响。