Dynamic Behavior of Interface Cracks in 1D Hexagonal Piezoelectric Quasicrystal Coating–Substrate Structures Subjected to Plane Waves

Abstract

The study of elastic wave scattering is crucial for nondestructive testing, quality assurance, and failure prevention of quasicrystal (QC) structures. In the present paper, the dynamic behavior of an interface crack in one-dimensional (1D) hexagonal piezoelectric quasicrystal (PQC) coating and semiinfinite homogeneous elastic substrate subjected to incident elastic-time harmonic waves is studied. The scattering problem of plane waves is reduced to a set of the Cauchy singular integral equations (SIEs) of the second kind by introducing the dislocation density functions. The SIEs are solved employing excellent properties of the Jacobi Polynomials, and the dynamic stress intensity factors (DSIFs) at the crack tips are obtained. The effects of the different PQC coating, incidence waves, crack size, incidence angle, and coupling coefficients on the DSIFs are displayed graphically. The consequences indicate that the presence of the phason field intensifies the fluctuation of the DSIFs at the crack tips, and the higher the coupling coefficients of the phonon-phason field, the easier the crack propagates. Additionally, the crack propagation can be suppressed by selecting the appropriate PQC coating and incidence angle. This work will benefit the understanding of the dynamic failure of PQC and its application.