Interface crack behaviors disturbed by Love waves in a 1D hexagonal quasicrystal coating–substrate structure

The scattering of Love waves by an interface crack between a one-dimensional (1D) hexagonal quasicrystal (QC) coating and a half-space elastic substrate is investigated by using the superposition principle and integral transform technique. Introducing the dislocation density function, the wave scattering problem is transformed into the Cauchy singular integral equations, and the dynamic stress intensity factors (SIFs) of the left and right crack tips are solved. By degrading the quasicrystalline coating to the elastic dielectric layer, the correctness of the present numerical results is verified compared to the classical one. Then, the effects of the material combinations, incidence direction, crack sizes, and coupling coefficient on the dynamic SIFs are analyzed. The results show that the appropriate material combinations and incidence direction can hinder crack expansion. Moreover, the smaller the absolute value of the coupling coefficient and the crack sizes, the smaller the peak and volatility of the dynamic SIFs. The conclusions of this paper provide a theoretical basis for the dynamic failure analysis and nondestructive tests of QCs.